Lattice methods for strongly interacting many-body systems

Journal of Physics G: Nuclear and Particle Physics

Volumn 40, Issue 4, 2013, Pages

  Drut, Joaquín E ^a,b   Nicholson, Amy N ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF NORTH CAROLINA   (United States)

^c Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84875395168     PISSN: 09543899     EISSN: 13616471     Source Type: Journal    
DOI: 10.1088/0954-3899/40/4/043101     Document Type: Review

References (230)

1. Lüchow A and Anderson J B 2000 Monte Carlo methods in electronic structures for large systems Annu. Rev. Phys. Chem. 51 501
2. Carlson J and Schiavilla R 1998 Structure and dynamics of few-nucleon systems Rev. Mod. Phys. 70 743 (Pubitemid 128116333)
3. Kalos M H and Whitlock P A 2008 Monte Carlo Methods 2nd edn (Weinheim: Wiley-VCH)
4. Bartlett R J and Musial M 2007 Coupled-cluster theory in quantum chemistry Rev. Mod. Phys. 79 291 (Pubitemid 46346056)
5. Dean D J and Hjorth-Jensen M 2004 Coupled-cluster approach to nuclear physics Phys. Rev. C 69 54320 (Pubitemid 38926145)
6. Navrátil P, Quaglioni S, Stetcu I and Barrett B R 2009 Recent developments in no-core shell-model calculations J. Phys. G: Nucl. Part. Phys. 36 083101
7. Pudliner B S, Pandharipande V R, Carlson J, Pieper S C and Wiringa R B 1997 Quantum Monte Carlo calculations of nuclei with a 7 Phys. Rev. C 56 1720 (Pubitemid 127138638)
8. Wiringa R B, Pieper S C, Carlson J and Pandharipande V R 2000 Quantum Monte Carlo calculations of a = 8 nuclei Phys. Rev. C 62 014001
9. Pieper S C and Wiringa R B 2001 Quantum Monte Carlo calculations of light nuclei Ann. Rev. Nucl. Part. Sci. 51 53 (Pubitemid 33571570)
10. Pieper S C, Pandharipande V R, Wiringa R B and Carlson J 2001 Realistic models of pion-exchange three-nucleon interactions Phys. Rev. C 64 014001
11. Pieper S C, Varga K and Wiringa R B 2002 Quantum Monte Carlo calculations of a = 9, 10 nuclei Phys. Rev. C 66 044310
12. Wiringa R B and Pieper S C 2002 Evolution of nuclear spectra with nuclear forces Phys. Rev. Lett. 89 182501
13. Pieper S C, Wiringa R B and Carlson J 2004 Quantum Monte Carlo calculations of excited states in a = 6 - 8 nuclei Phys. Rev. C 70 054325 (Pubitemid 40131763)
14. Hagen G, Dean D J, Hjorth-Jensen M and Papenbrock T 2007 Complex coupled-cluster approach to an ab-initio description of open quantum systems Phys. Lett. B 656 169
15. 40Ca with ab initio coupled-cluster theory Phys. Rev. C 76 044305
16. Hagen G, Papenbrock T, Dean D J, Schwenk A, Nogga A, Włoch M and Piecuch P 2007 Coupled-cluster theory for three-body Hamiltonians Phys. Rev. C 76 034302
17. Hagen G, Papenbrock T, Dean D J and Hjorth-Jensen M 2008 Medium-mass nuclei from chiral nucleon-nucleon interactions Phys. Rev. Lett. 101 092502
18. 12c in the ab initio nuclear shell model Phys. Rev. Lett. 84 5728
19. Navratil P and Ormand W E 2003 Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei Phys. Rev. C 68 034305
20. 4, 6, 8He isotopes from high-precision nucleon-nucleon interactions Phys. Rev. C 73 021302 (Pubitemid 43327486)
21. Rothe H 2005 Lattice Gauge Theories 3rd edn (Singapore: World Scientific)
22. DeGrand T and DeTar C 2006 Lattice Methods for Quantum Chromodynamics (Singapore: World Scientific)
23. Bazavov A et al 2010 Nonperturbative qcd simulations with 2 + 1 flavors of improved staggered quarks Rev. Mod. Phys. 82 1349-417
24. dos Santos R R 2003 Introduction to quantum Monte Carlo simulations for fermionic systems Braz. J. Phys. 36 33
25. Bulgac A, Drut J E and Magierski P 2008 Quantum Monte Carlo simulations of the BCS-BEC crossover at finite temperature Phys. Rev. A 78 023625
26. Bulgac A, Forbes M M and Magierski P 2011 BCS-BEC Crossover and the Unitary Fermi Gas (Lecture Notes in Physics) ed W Zwerger (Berlin: Springer)
27. Koonin S E, Dean D J and Langanke K 1997 Shell model Monte Carlo methods Phys. Rep. 278 1
28. Jaynes E T 1978 The Maximum Entropy Formalism ed R D Levine and M Tribus (Cambridge, MA: MIT Press)
29. Jarrell M and Gubernatis J E 1996 Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data Phys. Rep. 269 133 (Pubitemid 126175303)
30. Magierski P and Wlazłowski G 2012 LINPRO: linear inverse problem library for data contaminated by statistical noise Comput. Phys. Commun. 183 2264
31. Drut J E and Lähde T A 2009 Lattice field theory simulations of graphene Phys. Rev. B 79 165425
32. Drut J E and Lähde T A 2009 Is graphene in vacuum an insulator? Phys. Rev. Lett. 102 026802
33. Drut J E and Lähde T A 2009 Critical exponents of the semimetal-insulator transition in graphene: a Monte Carlo study Phys. Rev. B 79 241405
34. Hands S J and Strouthos C G 2008 Quantum critical behavior in a graphene-like model Phys. Rev. B 78 165423
35. Armour W, Hands S and Strouthos C 2010 Monte Carlo simulation of the semimetal-insulator phase transition in monolayer graphene Phys. Rev. B 81 125105
36. Armour W, Hands S and Strouthos C 2011 Monte Carlo simulation of monolayer graphene at nonzero temperature Phys. Rev. B 84 075123
37. Brower R, Rebbi C and Schaich D 2011 Hybrid Monte Carlo simulation on the graphene hexagonal lattice PoS Latt. 2011 056
38. Epelbaum E, Hammer H-W and Meißner U G 2009 Modern theory of nuclear forces Rev. Mod. Phys. 81 1773
39. Borasoy B, Epelbaum E, Krebs H, Lee D and Meißner U G 2007 Lattice simulations for light nuclei: chiral effective field theory at leading order Eur. Phys. J. A 31 105
40. Borasoy B, Epelbaum E, Krebs H, Lee D and Meißner U G 2008 Chiral effective field theory on the lattice at next-to-leading order Eur. Phys. J. A 35 343
41. Epelbaum E, Krebs H, Lee D and Meißner U G 2009 Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order Eur. Phys. J. A 41 125
42. Epelbaum E, Krebs H, Lee D and Meißner U G 2010 Lattice calculations for a=3,4,6,12 nuclei using chiral effective field theory Eur. Phys. J. A 45 335
43. Epelbaum E, Krebs H, Lee D and Meißner U G 2010 Lattice effective field theory calculations for a = 3,4,6,12 nuclei Phys. Rev. Lett. 104 142501
44. Epelbaum E, Krebs H, Lee D and Meißner U G 2011 Ab initio calculation of the Hoyle state Phys. Rev. Lett. 106 192501
45. Meißner U G 2011 Nuclear physics from simulations Few-Body Syst. 50 91
46. Beane S R, Orginos K and Savage M J 2008 Hadronic interactions from lattice qcd Int. J. Mod. Phys. E 17 1157
47. Beane S R, Detmold W, Orginos K and Savage M J 2011 Nuclear physics from lattice qcd Prog. Part. Nucl. Phys. 66 1
48. Giorgini S, Pitaevskii L P and Stringari S 2008 Theory of ultracold Fermi gases Rev. Mod. Phys. 80 1215
49. Block I, Dalibard J and Zwerger W 2008 Many-body physics with ultracold gases Rev. Mod. Phys. 80 885
50. Inguscio M, Ketterle W and Salomon C 2008 Ultracold Fermi gases Proc. Int. School of Physics 'Enrico Fermi' (Varenna,) (Amsterdam: IOS Press)
51. Ho T L 2004 Universal thermodynamics of degenerate quantum gases in the unitarity limit Phys. Rev. Lett. 92 090402
52. Werner F and Castin Y 2011 The BCS-BEC crossover and the Unitary Fermi Gas (Lecture Notes in Physics) ed W Zwerger (Berlin: Springer)
53. Braaten E and Hammer H-W 2006 Universality in few-body systems with large scattering length Phys. Rep. 428 259 (Pubitemid 43591805)
54. Mehen T, Stewart I W and Wise M B 2000 Conformal invariance for non-relativistic field theory Phys. Lett. B 474 145
55. Nishida Y and Son D T 2007 Nonrelativistic conformal field theories Phys. Rev. D 76 086004
56. Hagen C R 1972 Scale and conformal transformations in Galilean-covariant field theory Phys. Rev. D 5 377
57. Niederer U 1972 The maximal kinematical invariance group of the free Schrodinger equation Helv. Phys. Acta 45 802
58. Mehen T 2007 On non-relativistic conformal field theory and trapped atoms: virial theorems and the state-operator correspondence in three dimensions Phys. Rev. A 78 013614
59. Werner F and Castin Y 2006 The unitary gas in an isotropic harmonic trap: symmetry properties and applications Phys. Rev. A 74 053604 (Pubitemid 44707443)
60. Werner F and Castin Y 2006 The unitary three-body problem in a trap Phys. Rev. Lett. 97 150401 (Pubitemid 44547778)
61. Son D T 2007 Three comments on the Fermi gas at unitarity in a harmonic trap arXiv:0707.1851
62. Tan S 2008 Energetics of a strongly correlated Fermi gas Ann. Phys. 323 2952
63. Tan S 2008 Large momentum part of fermions with large scattering length Ann. Phys. 323 2971
64. Tan S 2008 Generalized virial theorem and pressure relation fir a strongly correlated Fermi gas Ann. Phys. 323 2987
65. Zhang S and Leggett A J 2008 Sum-rule analysis of radio-frequency spectroscopy of ultracold Fermi gas Phys. Rev. A 77 033614 (Pubitemid 351416428)
66. Werner F 2008 Virial theorems for trapped cold atoms Phys. Rev. A 78 025601
67. Braaten E and Platter L 2008 Exact relations for a strongly-interacting Fermi gas from the operator product expansion Phys. Rev. Lett. 100 205301 (Pubitemid 351725965)
68. Braaten E, Kang D and Platter L 2010 Short-time operator product expansion for rf spectroscopy of a strongly interacting Fermi gas Phys. Rev. Lett. 104 223004
69. Son D T and Thompson E G 2010 Short-distance and short-time structure of a unitary Fermi gas Phys. Rev. A 81 063634
70. Taylor M Randeria E 2010 Viscosity of strongly interacting quantum uids: spectral functions and sum rules Phys. Rev. A 81 053610
71. Braaten E 2011 BCS-BEC crossover and the Unitary Fermi Gas (Lecture Notes in Physics) ed W Zwerger (Berlin: Springer)
72. Lepage G P 1989 What is renormalization? From Actions to Answers: Proc. 1989 Theoretical Advanced Study Inst. (TASI) (Boulder, CA, June) pp 5-30
73. Lepage G P 1997 How to renormalize the Schrodinger equation 135-80 (arXiv:nucl-th/9706029)
74. Negele J W and Orland H 1988 Quantum Many-Particle Systems (Redwood City, CA: Addison-Wesley)
75. Zinn-Justin J 1996 Quantum Field Theory and Critical Phenomena 3rd edn (Oxford: Clarendon)
76. Golub G H and Van Loan C F 1996 Matrix Computations 3rd edn (Baltimore, MD: Johns Hopkins University Press)
77. Privitera A, Capone M and Castellani C 2010 Finite-density corrections to the unitary Fermi gas: a lattice perspective from dynamical mean-field theory Phys. Rev. B 81 014523
78. Privitera A and Capone M 2012 Lattice approaches to dilute Fermi gases: legacy of broken Galilean invariance Phys. Rev. A 85 013640
79. Werner F and Castin Y 2006 General relations for quantum gases in two and three dimensions. i. two-component fermions Phys. Rev. A 86 053633
80. Lee D 2009 Lattice simulations for few- and many-body systems Prog. Part. Nucl. Phys. 63 117
81. Blankenbecler R, Scalapino D J and Sugar R L 1981 Monte Carlo calculations of coupled boson-fermion systems i Phys. Rev. D 24 2278
82. Stratonovich R L 1958 Sov. Phys. - Dokl. 2 416
83. Hubbard J 1959 Phys. Rev. Lett. 3 77
84. Hirsch J E 1983 Discrete Hubbard-Stratonovich transformation for fermion lattice models Phys. Rev. B 28 4059
85. Prokof'ev N and Svistunov B 2001 Worm algorithms for classical statistical models Phys. Rev. Lett. 87 160601
86. Syljuåsen O F and Sandvik A W 2002 Quantum Monte Carlo with directed loops Phys. Rev. E 66 046701 (Pubitemid 40606337)
87. Adams D H and Chandrasekharan S 2003 Chiral limit of strongly coupled lattice gauge theories Nucl. Phys. B 662 220 (Pubitemid 36649730)
88. Lee D 2008 Ground state energy at unitarity Phys. Rev. C 78 024001
89. Endres M G, Kaplan D B, Lee J-W and Nicholson A N 2010 A new approach for studying large numbers of fermions in the unitary regime PoS Latt. 2010 182
90. Lee J-W, Endres M G, Kaplan D B and Nicholson A N 2010 Lattice calculation for unitary fermions in a finite box PoS Latt. 2010 197
91. Nicholson A N, Endres M G, Kaplan D B and Lee J-W 2010 Lattice study of trapped fermions at unitarity PoS Latt. 2010 206
92. Endres M G, Kaplan D B, Lee J-W and Nicholson A N 2013 Lattice Monte Carlo calculations for unitary fermions in a finite box Phys. Rev. A 87 023615
93. Carlson J, Gandolfi S, Schmidt K E and Zhang S 2011 Auxiliary-field quantum Monte Carlo method for strongly paired fermions Phys. Rev. A 84 061602
94. Drut J E 2012 Improved lattice operators for non-relativistic fermions Phys. Rev. A 86 013604
95. Batrouni G, Hansen A and Nelkin M 1986 Fourier acceleration of relaxation processes in disordered systems Phys. Rev. Lett. 57 1336
96. Davies C, Batrouni G, Katz G, Kronfeld A, Lepage P, Rossi P, Svetitsky B and Wilson K 1986 Langevin simulations of lattice field theories using Fourier acceleration J. Stat. Phys. 43 1073
97. Davies C T H, Batrouni G G, Katz G R, Kronfeld A S, Lepage G P, Wilson K G, Rossi P and Svetitsky B 1988 Fourier acceleration in lattice gauge theories. i. landau gauge fixing Phys. Rev. D 37 1581
98. Katz G, Batrouni G, Davies C, Kronfeld A, Lepage P, Rossi P, Svetitsky B and Wilson K 1988 Fourier acceleration in lattice gauge theories: ii. Matrix inversion and the quark propagator Phys. Rev. D 37 1589
99. Frigo M and Johnson S G 2005 The design and implementation of fftw3 Proc. IEEE 93 216 (Pubitemid 40851223)
100. Endres M G, Kaplan D B, Lee J-W and Nicholson A N 2011 Lattice Monte Carlo calculations for unitary fermions in a harmonic trap Phys. Rev. A 84 043644
101. Lüscher M 1986 Volume dependence of the energy spectrum in massive quantum field theories. 1. stable particle states Commun. Math. Phys. 104 177
102. Lüscher M 1986 Volume dependence of the energy spectrum in massive quantum field theories. 2. scattering states Commun. Math. Phys. 105 153
103. Metropolis N, Rosenbluth A W, Rosenbluth M N, Teller A H and Teller E 1953 Equation of state calculations by fast computing machines J. Chem. Phys. 21 1087
104. Creutz M 1980 Monte Carlo study of quantized su(2) gauge theory Phys. Rev. D 21 2308
105. Cabibbo N and Marinari E 1982 A new method for updating su(n) matrices in computer simulations of gauge theories Phys. Lett. B 119 387
106. Bazavov A, Berg B A and Heller U M 2005 Biased metropolis-heat-bath algorithm for fundamental-adjoint su(2) Phys. Rev. D 72 117501 (Pubitemid 43036893)
107. Johnson R W 2010 General heatbath algorithm for pure lattice gauge theory Phys. Rev. D 82 114508
108. Landau D P and Binder K 2005 A Guide to Monte Carlo Simulations in Statistical Physics 2nd edn (New York, NY: Cambridge University Press)
109. Toussaint D 1989 Introduction to algorithms for Monte Carlo simulations and their application to qcd Comput. Phys. Commun. 56 69 (Pubitemid 20656738)
110. Swendsen R H and Wang J 1987 Nonuniversal critical dynamics in Monte Carlo simulations Phys. Rev. Lett. 58 86
111. Barbu A and Zhu S C 2005 Generalizing Swendsen-Wang to sampling arbitrary posterior probabilities IEEE Trans. Pattern Anal. Mach. Intell. 27 1239 (Pubitemid 41245054)
112. Wolff U 1989 Collective Monte Carlo updating for spin systems Phys. Rev. Lett. 62 361
113. Bulgac A, Drut J E and Magierski P 2006 Spin 1/2 fermions in the unitary regime: a superfluid of a new type Phys. Rev. Lett. 96 090404 (Pubitemid 43385268)
114. Duane S, Kennedy A D, Pendleton B J and Roweth D 1987 Hybrid Monte Carlo Phys. Lett. B 195 216
115. Gottlieb S A, Liu W, Toussaint D and Renken R L 1987 Hybrid-molecular- dynamics algorithms for the numerical simulations of quantum chromodynamics Phys. Rev. D 35 2531
116. Folk R, Omelyan I P and Mryglod I M 2003 Symplectic analytically integrable decomposition algorithms: classification, derivation and application to molecular dynamics, quantum and celestial mechanics simulations Comput. Phys. Commun. 151 272
117. Endres M G, Kaplan D B, Lee J-W and Nicholson A N 2011 Noise, sign problems, and statistics Phys. Rev. Lett. 107 201601
118. Zhang S, Carlson J and Gubernatis J E 1995 Constrained path quantum Monte Carlo method for fermion ground states Phys. Rev. Lett. 74 3652-5
119. Zhang S, Carlson J and Gubernatis J E 1997 Constrained path Monte Carlo method for fermion ground states Phys. Rev. B 55 7464-77
120. Lüscher M and Wolff U 1990 How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation Nucl. Phys. B 339 222-52
121. Michael C 1985 Adjoint sources in lattice gauge theory Nucl. Phys. B 259 58-76
122. Blossier B, Della Morte M, von Hippel G, Mendes T and Sommer R 2009 On the generalized eigenvalue method for energies and matrix elements in lattice field theory J. High Energy Phys. JHEP04(2009)094
123. Fodor Z and Hoelbling C 2012 Light hadron masses from lattice QCD Rev. Mod. Phys. 84 449
124. Edwards R G, Dudek J J, Richards D G and Wallace S J 2011 Excited state baryon spectroscopy from lattice QCD Phys. Rev. D 84 074508
125. Dudek J J, Edwards R G, Peardon M J, Richards D G and Thomas C E 2010 Toward the excited meson spectrum of dynamical QCD Phys. Rev. D 82 034508
126. Maiani L and Testa M 1990 Final state interactions from Euclidean correlation functions Phys. Lett. B 245 585-90
127. Lin C J D, Martinelli G, Sachrajda C T and Testa M 2001 K -¿ pi pi decays in a finite volume Nucl. Phys. B 619 467-98 (Pubitemid 33378494)
128. Beane S R, Bedaque P F, Parreno A and Savage M J 2004 Two nucleons on a lattice Phys. Lett. B 585 106-14
129. Sato I and Bedaque P F 2007 Fitting two nucleons inside a box: exponentially suppressed corrections to the Luscher's formula Phys. Rev. D 76 034502
130. Bedaque P F, Sato I and Walker-Loud A 2006 Finite volume corrections to pi-pi scattering Phys. Rev. D 73 074501
131. Beane S R, Detmold W and Savage M J 2007 n-boson energies at finite volume and three-boson interactions Phys. Rev. D 76 074507
132. -7) Phys. Rev. D 77 057502
133. Smigielski B and Wasem J 2009 Ground-state energy shift of n pions and m kaons in a finite volume Phys. Rev. D 79 054506
134. Beane S R et al 2008 Multi-pion systems in lattice QCD and the three-pion interaction Phys. Rev. Lett. 100 082004 (Pubitemid 351419058)
135. Detmold W et al 2008 Multi-pion states in lattice QCD and the charged-pion condensate Phys. Rev. D 78 014507
136. Detmold W, Orginos K, Savage M J and Walker-Loud A 2008 Kaon condensation with lattice QCD Phys. Rev. D 78 054514
137. Detmold W and Smigielski B 2011 Lattice QCD study of mixed systems of pions and kaons Phys. Rev. D 84 014508
138. Detmold W, Orginos K and Shi Z 2012 Lattice QCD at non-zero isospin chemical potential Phys. Rev. D 86 054507
139. Li X and Liu C 2004 Two particle states in an asymmetric box Phys. Lett. B 587 100-4
140. Feng X, Li X and Liu C 2004 Two particle states in an asymmetric box and the elastic scattering phases Phys. Rev. D 70 014505
141. Luu T and Savage M J 2011 Extracting scattering phase-shifts in higher partial-waves from lattice QCD calculations Phys. Rev. D 83 114508
142. Koenig S, Lee D and Hammer H-W 2011 Volume dependence of bound states with angular momentum Phys. Rev. Lett. 107 112001
143. Koenig S, Lee D and Hammer H-W 2012 Non-relativistic bound states in a finite volume Ann. Phys. 327 1450-71
144. Rummukainen K and Gottlieb S A 1995 Resonance scattering phase shifts on a nonrest frame lattice Nucl. Phys. B 450 397-436
145. Kim C H, Sachrajda C T and Sharpe S R 2005 Finite-volume effects for two-hadron states in moving frames Nucl. Phys. B 727 218-43 (Pubitemid 41430769)
146. Bour S, Koenig S, Lee D, Hammer H-W and Meissner Ulf-G 2011 Topological phases for bound states moving in a finite volume Phys. Rev. D 84 091503
147. Davoudi Z and Savage M J 2011 Improving the volume dependence of two-body binding energies calculated with lattice QCD Phys. Rev. D 84 114502
148. Briceno R A and Davoudi Z 2012 Moving multi-channel systems in a finite volume (arXiv:1204.1110)
149. Hansen M T and Sharpe S R 2012 Multiple-channel generalization of Lellouch-Luscher formula Phys. Rev. D 86 016007
150. Borasoy B, Epelbaum E, Krebs H, Lee D and Meissner U-G 2007 Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling and mixing angles Eur. Phys. J. A 34 185-96
151. Busch T, Englert B-G, Wilkens M and Rza K 1998 Two cold atoms in a harmonic trap Found. Phys. 28 549-59 (Pubitemid 128439422)
152. Yip S-K 2008 Energy levels of two identical fermions in a harmonic trap near a p-wave Feshbach resonance Phys. Rev. A 78 013612
153. Suzuki A, Liang Y and Bhaduri R K 2009 Two-atom energy spectrum in a harmonic trap near a Feshbach resonance at higher partial waves Phys. Rev. A 80 033601
154. Haxton W C 2008 Form of the effective interaction in harmonic-oscillator- based effective theory Phys. Rev. C 77 034005
155. Haxton W C and Luu T 2002 Perturbative effective theory in an oscillator basis? Phys. Rev. Lett. 89 182503
156. Stetcu I, Barrett B R and van Kolck U 2007 No-core shell model in an effective-field-theory framework Phys. Lett. B 653 358-62
157. Luu T and Schwenk A 2007 Three-fermion problems in optical lattices Phys. Rev. Lett. 98 103202 (Pubitemid 46393386)
158. Stetcu I, Barrett B R, van Kolck U and Vary J P 2007 Effective theory for trapped few-fermion systems Phys. Rev. A 76 063613 (Pubitemid 350276562)
159. Stetcu I, Rotureau J, Barrett B R and van Kolck U 2010 Effective interactions for light nuclei: an effective (field theory) approach J. Phys. G: Nucl. Part. Phys. 37 064033
160. van Kolck U 2008 Nuclear physics from QCD PoS Confinement 8:030
161. Luu T, Savage M J, Schwenk A and Vary J P 2010 Nucleon-nucleon scattering in a harmonic potential Phys. Rev. C 82 034003
162. Stetcu I, Rotureau J, Barrett B R and van Kolck U 2010 An effective field theory approach to two trapped particles Ann. Phys. 325 1644-66
163. Drut J E, Lähde T A and Ten T 2011 Momentum distribution and contact of the unitary Fermi gas Phys. Rev. Lett. 106 205302
164. Drut J E, Lähde T A, Wlazłowski G and Magierski P 2011 The equation of state of the unitary Fermi gas: an update on lattice calculations Phys. Rev. A 85 051601
165. Lepage G P 1989 The analysis of algorithms for lattice field theory From Actions to Answers: Proc. 1989 Theoretical Advanced Study Inst. (TASI) (Boulder, CA, June,) pp 5-30
166. Beane S R et al 2009 High statistics analysis using anisotropic clover lattices: (I) single hadron correlation functions Phys. Rev. D 79 114502
167. Beane S R et al 2009 High statistics analysis using anisotropic clover lattices: II. Three-baryon systems Phys. Rev. D 80 074501
168. Beane S R et al 2010 High statistics analysis using anisotropic clover lattices: (III) baryon-baryon interactions Phys. Rev. D 81 054505
169. Endres M G, Kaplan D B, Lee J-W and Nicholson A N 2011 Listening to noise PoS LATTICE2011 017
170. Nicholson Amy N 2012 n-body Efimov states from two-particle noise Phys. Rev. Lett. 109 073003
171. Berry A C 1941 The accuracy of the Gaussian approximation to the sum of independent variates Trans. Am. Math. Soc. 49 122-36
172. Esseen C-G 1942 On the Liapunoff limit of error in the theory of probability Ark. Mat. Astron. Fysik A 28 1-19
173. DeGrand T 2012 Log-normal distribution for correlators in lattice QCD? Phys. Rev. D 86 014512
174. Carlson J, Chang S-Y, Pandharipande V R and Schmidt K E 2003 Superfluid Fermi gases with large scattering length Phys. Rev. Lett. 91 050401
175. Pricoupenko L and Castin Y 2007 Three fermions in a box at the unitary limit: universality in a lattice model J. Phys. A: Math. Theor. 40 12863-72
176. Symanzik K 1980 Recent Developments in Gauge Theories ed G 't Hooft (New York: Plenum)
177. Symanzik K 1982 Mathematical Problems in Theoretical Physics ed R Schrader (New York: Springer)
178. 4 theory Nucl. Phys. B 226 187-204
179. Symanzik K 1983 Continuum limit and improved action in lattice theories: (ii). o(n) non-linear sigma model in perturbation theory Nucl. Phys. B 226 205-27
180. Tan S 2004 Short range scaling laws of quantum gases with contact interactions arXiv:cond-mat/0412764
181. Bethe H and Peierls R 1935 Quantum theory of the diplon Proc. R. Soc. Lond. A 148 146-56
182. Bour S, Hammer H-W, Lee D and Meissner U-G 2012 Benchmark calculations for elastic fermion-dimer scattering Phys. Rev. C 86 3
183. Skornyakov G V and Ter-Martirosyan K A 1957 Sov. Phys. - JETP
184. Petrov D S 2003 Three-body problem in Fermi gases with short-range interparticle interaction Phys. Rev. A 67 010703
185. Petrov D S, Salomon C and Shlyapnikov G V 2005 Scattering properties of weakly bound dimers of fermionic atoms Phys. Rev. A 71 012708 (Pubitemid 40648686)
186. Bour S, Li X, Lee D, Meissner U-G and Mitas L 2011 Precision benchmark calculations for four particles at unitarity Phys. Rev. A 83 063619
187. Werner F and Castin Y 2006 Unitary quantum three-body problem in a harmonic trap Phys. Rev. Lett. 97 150401 (Pubitemid 44547778)
188. Blume D, von Stecher J and Greene C H 2007 Universal properties of a trapped two-component Fermi gas at unitarity Phys. Rev. Lett. 99 233201 (Pubitemid 350231916)
189. Blume D and Daily K M 2011 Trapped two-component Fermi gases with up to six particles: energetics, structural properties and molecular condensate fraction C. R. Physique 12 86-109
190. Chang S Y and Bertsch G F 2007 Unitary Fermi gas in a harmonic trap Phys. Rev. A 76 021603 (Pubitemid 47223014)
191. O'Hara K M, Hemmer S L, Gehm M E, Granade S R and Thomas J E 2002 Observation of a strongly interacting degenerate Fermi gas of atoms Science 298 2179 (Pubitemid 35471240)
192. Engelbrecht J R, Randeria M and Sá de Melo C A R 1997 BCS to Bose crossover: broken-symmetry state Phys. Rev. B 55 15153-6
193. Gehm M E, Hemmer S L, Granade S R, O'Hara K M and Thomas J E 2003 Mechanical stability of a strongly interacting Fermi gas of atoms Phys. Rev. A 68 011401 (R)
194. Chang S Y, Pandharipande V R, Carlson J and Schmidt K E 2004 Quantum Monte Carlo studies of superfluid Fermi gases Phys. Rev. A 70 043602
195. Baker G A 1999 Neutron matter model Phys. Rev. C 60 054311
196. Bourdel T, Khaykovich L, Cubizolles J, Zhang J, Chevy F, Teichmann M, Tarruell L, Kokkelmans S J J M F and Salomon C 2004 Experimental study of the BEC-BCS crossover region in lithium 6 Phys. Rev. Lett. 93 050401
197. Astrakharchik G E, Boronat J, Casulleras J and Giorgini S 2004 Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study Phys. Rev. Lett. 93 200404
198. Bartenstein M, Altmeyer A, Riedl S, Jochim S, Chin C, Denschlag J Hecker and Grimm R 2004 Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas Phys. Rev. Lett. 92 120401
199. Carlson J and Reddy S 2005 Asymmetric two-component fermion systems in strong coupling Phys. Rev. Lett. 95 060401 (Pubitemid 41506059)
200. Steele J V 2000 Effective field theory power counting at finite density arXiv:nucl-th/0010066
201. Kinast J, Turlapov A, Thomas J E, Chen Q, Stajic J and Levin K 2005 Heat capacity of a strongly interacting Fermi gas Science 307 1296 (Pubitemid 40305280)
202. Lee D and Schäfer T 2006 Cold dilute neutron matter on the lattice. ii. results in the unitary limit Phys. Rev. C 73 015202 (Pubitemid 43248482)
203. Heiselberg H 2001 Fermi systems with long scattering lengths Phys. Rev. A 63 043606 (Pubitemid 33722183)
204. Partridge G B, Li W, Kamar R I, Liao Y and Hulet R G 2006 Pairing and phase separation in a polarized Fermi gas Science 311 503 (Pubitemid 43157724)
205. Bulgac A, Drut J E and Magierski P 2006 Spin 1/2 fermions in the unitary regime: a superfluid of a new type Phys. Rev. Lett. 96 090404 (Pubitemid 43385268)
206. Perali A, Pieri P and Strinati G C 2004 Quantitative comparison between theoretical predictions and experimental results for the BCS-BEC crossover Phys. Rev. Lett. 93 100404
207. Regal C A, Greiner M, Giorgini S, Holland M and Jin D S 2005 Momentum distribution of a Fermi gas of atoms in the BCS-BEC crossover Phys. Rev. Lett. 95 250404 (Pubitemid 41815962)
208. Lee D 2006 Ground-state energy of spin- fermions in the unitary limit Phys. Rev. B 73 115112 (Pubitemid 43418700)
209. Schäfer T, Kao C-W and Cotanch S R 2005 Many body methods and effective field theory Nucl. Phys. A 762 82-101 (Pubitemid 41554795)
210. 40K Fermi gas in the BCS-BEC crossover Phys. Rev. Lett. 97 220406 (Pubitemid 44853875)
211. Juillet O 2007 Sign-free stochastic mean-field approach to strongly correlated phases of ultracold fermions New J. Phys. 9 163 (Pubitemid 46944656)
212. Luo L and Thomas J 2009 Thermodynamic measurements in a strongly interacting Fermi gas J. Low Temp. Phys. 154 1-29
213. Lee D 2008 The symmetric heavy-light ansatz Eur. Phys. J. A 35 171-87
214. Navon N, Nascimbène S, Chevy F and Salomon C 2010 The equation of state of a low-temperature Fermi gas with tunable interactions Science 328 729-32
215. Papenbrock T 2005 Density-functional theory for fermions in the unitary regime Phys. Rev. A 72 041603 (Pubitemid 41776267)
216. Nascimbène S, Navon N, Jiang K J, Chevy F and Salomon C 2010 Exploring the thermodynamics of a universal Fermi gas Nature 463 1057-60
217. Nishida Y and Son D T 2006 expansion for a Fermi gas at infinite scattering length Phys. Rev. Lett. 97 050403 (Pubitemid 44188135)
218. Ku M J H, Sommer A T, Cheuk L W and Zwierlein M W 2012 Revealing the superfluid lambda transition in the universal thermodynamics of a unitary Fermi gas Science 335 563-7
219. Haussmann R, Rantner W, Cerrito S and Zwerger W 2007 Thermodynamics of the BCS-BEC crossover Phys. Rev. A 75 023610
220. Veillette M Y, Sheehy D E and Radzihovsky L 2007 Large-n expansion for unitary superfluid Fermi gases Phys. Rev. A 75 043614 (Pubitemid 46633654)
221. Abe T and Seki R 2009 From low-density neutron matter to the unitary limit Phys. Rev. C 79 054003
222. Arnold P, Drut J E and Son D T 2006 NNLO epsilon expansion for a Fermi gas at infinite scattering length Phys. Rev. A 75 043605
223. Magierski P, Wlazłowski G, Bulgac A and Drut J E 2009 Finite-temperature pairing gap of a unitary Fermi gas by quantum Monte Carlo calculations Phys. Rev. Lett. 103 210403
224. Gandolfi S, Schmidt K E and Carlson J 2011 BEC-BEC crossover and universal relations in unitary Fermi gases Phys. Rev. A 83 041601
225. Forbes M M, Gandolfi S and Gezerlis A 2011 Resonantly interacting fermions in a box Phys. Rev. Lett. 106 235303
226. Li X, Kolorenč J and Mitas L 2011 Atomic Fermi gas in the unitary limit by quantum Monte Carlo methods: effects of the interaction range Phys. Rev. A 84 023615
227. Nishida Y and Son D T 2007 Fermi gas near unitarity around four and two spatial dimensions Phys. Rev. A 75 063617 (Pubitemid 47139181)
228. Ji-Sheng Chen 2007 Ground state energy of unitary fermion gas with the Thomson problem approach Chin. Phys. Lett. 24 1825
229. Nishida Y 2009 Ground-state energy of the unitary Fermi gas from the expansion Phys. Rev. A 79 013627
230. Tinkham M 1992 Group Theory and Quantum Mechanics (New York: Dover)