The equation of state of ultracold Bose and Fermi gases: A few examples

New Journal of Physics

Volumn 12, Issue , 2010, Pages

  Nascimbène, Sylvain ^a   Navon, Nir ^a   Chevy, Frédéric ^a   Salomon, Christophe ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE GAS; CANONICAL EQUATIONS; EQUATION OF STATE; FERMI GAS; HIGH-TEMPERATURE REGIME; IDEAL BOSE GAS; IN-SITU; LANDAU-FERMI LIQUIDS; LOW TEMPERATURES; MOTT INSULATORS; NORMAL PHASE; RESONANT INTERACTION; SINGLE IMAGES; SUPERFLUID TRANSITIONS; TEMPERATURE EFFECTS; THREE-DIMENSIONAL OPTICAL LATTICE; TRAPPED GAS; ULTRA-COLD; ULTRACOLD GAS;

BOSONS; ELECTRON GAS; FERMI LIQUIDS; FERMIONS; GASES; HIGH ENERGY PHYSICS; TEMPERATURE;

EQUATIONS OF STATE OF GASES;

EID: 77958556491     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/12/10/103026     Document Type: Article

References (51)

1. Nascimbène S, Navon N, Jiang K J, Chevy F and Salomon C 2010 Exploring the thermodynamics of a universal Fermi gas Nature 463 1057
2. Horikoshi M, Nakajima S, Ueda M and Mukaiyama T 2010 Measurement of universal thermodynamic functions for a unitary Fermi gas Science 327 442
3. Bloch I, Dalibard J and Zwerger W 2008 Many-body physics with ultracold gases Rev. Mod. Phys. 80 885-964
4. The many-body challenge problem formulated by G F Bertsch
5. see Bishop R F 2001 Int. J. Mod. Phys. B 15 (10-11) iii
6. Gezerlis A and Carlson J 2008 Strongly paired fermions: cold atoms and neutron matter Phys. Rev. C 77 32801
7. 40K Fermi gas in the BCS-BEC crossover Phys. Rev. Lett. 97 220406
8. Luo L, Clancy B, Joseph J, Kinast J and Thomas J E 2007 Measurement of the entropy and critical temperature of a strongly interacting Fermi gas Phys. Rev. Lett. 98 80402
9. Altmeyer A, Riedl S, Kohstall C, Wright M J, Geursen R, Bartenstein M, Chin C, Denschlag J H and Grimm R 2007 Precision measurements of collective oscillations in the BEC-BCS crossover Phys. Rev. Lett. 98 40401
10. 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 311 503-5
11. Zwierlein M W, Schunck C H, Schirotzek A and Ketterle W 2006 Direct observation of the superfluid phase transition in ultracold Fermi gases Nature 442 54-8
12. Nascimbène S, Navon N, Jiang K, Tarruell L, Teichmann M, McKeever J, Chevy F and Salomon C 2009 Collective oscillations of an imbalanced Fermi gas: axial compression modes and polaron effective mass Phys. Rev. Lett. 103 170402
13. Shin Y 2008 Determination of the equation of state of a polarized Fermi gas at unitarity Phys. Rev. A 77 041603
14. Ho T L and Zhou Q 2009 Obtaining the phase diagram and thermodynamic quantities of bulk systems from the densities of trapped gases Nat. Phys. 6 131-4
15. 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
16. Hadzibabic Z, Kruger P, Cheneau M, Battelier B and Dalibard J 2006 Berezinskii-Kosterlitz-Thouless crossover in a trapped atomic gas Nature 441 1118-21
17. Cladé P, Ryu C, Ramanathan A, Helmerson K and Phillips W D 2009 Observation of a 2D Bose gas: from thermal to quasicondensate to superfluid Phys. Rev. Lett. 102 170401
18. Gemelke N, Zhang X, Hung C L and Chin C 2009 In situ observation of incompressible Mott-insulating domains in ultracold atomic gases Nature 460 995-8
19. Bakr W S, Gillen J I, Peng A, Fölling S and Greiner M 2009 A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice Nature 462 74-7
20. Rath S P, Yefsah T, Günter K J, Cheneau M, Desbuquois R, Holzmann M, Krauth W and Dalibard J 2010 The equilibrium state of a trapped two-dimensional Bose gas Phys. Rev. A 82 013609
21. Shin Y, Schunck C H, Schirotzek A and Ketterle W 2008 Phase diagram of a two-component Fermi gas with resonant interactions Nature 451 689-93
22. Fölling S, Widera A, Müller T, Gerbier F and Bloch I 2006 Formation of spatial shell structure in the superfluid to Mott insulator transition Phys. Rev. Lett. 97 60403
23. Ho T L and Mueller E J 2004 High temperature expansion applied to fermions near Feshbach resonance Phys. Rev. Lett. 92 160404
24. Liu X J, Hu H and Drummond P D 2009 Virial expansion for a strongly correlated Fermi gas Phys. Rev. Lett. 102 160401
25. Carlson J, Chang S Y, Pandharipande V R and Schmidt K E 2003 Superfluid Fermi gases with large scattering length Phys. Rev. Lett. 91 50401
26. Lobo C, Recati A, Giorgini S and Stringari S 2006 Normal state of a polarized Fermi gas at unitarity Phys. Rev. Lett. 97 200403
27. 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 23625
28. Chevy F 2006 Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations Phys. Rev. A 74 063628
29. Combescot R, Recati A, Lobo C and Chevy F 2007 Normal state of highly polarized Fermi gases: simple many-body approaches Phys. Rev. Lett. 98 180402
30. Prokof'ev N and Svistunov B 2008 Fermi-polaron problem: diagrammatic Monte Carlo method for divergent sign-alternating series Phys. Rev. B 77 020408
31. Combescot R and Giraud S 2008 Normal state of highly polarized Fermi gases: full many-body treatment Phys. Rev. Lett. 101 050404
32. Taylor E 2009 Critical behavior in trapped strongly interacting Fermi gases Phys. Rev. A 80 23612
33. Lipa J A and Chui T C P 1983 Very high-resolution heat-capacity measurements near the lambda point of helium Phys. Rev. Lett. 51 2291-4
34. Caracanhas M A, Seman J A, Ramos E R F, Henn E A L, Magalhães K M F, Helmerson K and Bagnato V S 2009 Finite temperature correction to the Thomas-Fermi approximation J. Phys. B: At. Mol. Opt. Phys. 42 145304
35. Romero-Rochín V 2005 Equation of state of an interacting Bose gas confined by a harmonic trap: the role of the harmonic pressure Phys. Rev. Lett. 94 130601
36. Schreck F, Khaykovich L, Corwin K L, Ferrari G, Bourdel T, Cubizolles J and Salomon C 2001 Quasipure Bose-Einstein condensate immersed in a Fermi sea Phys. Rev. Lett. 87 80403
37. Yasuda M and Shimizu F 1996 Observation of two-atom correlation of an ultracold neon atomic beam Phys. Rev. Lett. 77 3090-3
38. Fölling S, Gerbier F, Widera A, Mandel O, Gericke T and Bloch I 2005 Spatial quantum noise interferometry in expanding ultracold atom clouds Nature 434 481-4 (Pubitemid 40480979)
39. Schellekens M, Hoppeler R, Perrin A, Gomes J V, Boiron D, Aspect A and Westbrook C I 2005 Hanbury Brown Twiss effect for ultracold quantum gases Science 310 648
40. Giorgini S, Pitaevskii L P and Stringari S 1996 Condensate fraction and critical temperature of a trapped interacting Bose gas Phys. Rev. A 54 4633-6
41. Giorgini S, Pitaevskii L P and Stringari S 1997 Thermodynamics of a trapped Bose-condensed gas J. Low Temp. Phys. 109 309-55
42. Kokkelmans S 2010 private communication
43. Trotzky S, Pollet L, Gerbier F, Schnorrberger U, Bloch I, Prokof'ev N V, Svistunov B and Troyer M 2009 Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator arXiv:0905.4882
44. Jaksch D, Bruder C, Cirac J I, Gardiner C W and Zoller P 1998 Cold bosonic atoms in optical lattices Phys. Rev. Lett. 81 3108-11
45. Gerbier F 2007 Boson Mott insulators at finite temperatures Phys. Rev. Lett. 99 120405
46. Capogrosso-Sansone B, Prokof'ev N V and Svistunov B V 2007 Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model Phys. Rev. B 75 134302
47. Gerbier F 2010 private communication
48. Weld D M, Medley P, Miyake H, Hucul D, Pritchard D E and Ketterle W 2009 Spin gradient thermometry for ultracold atoms in optical lattices Phys. Rev. Lett. 103 245301
49. 85Rb Bose-Einstein condensate Phys. Rev. Lett. 101 135301
50. Donner T, Ritter S, Bourdel T, Ottl A, Kohl M and Esslinger T 2007 Critical behavior of a trapped interacting Bose gas Science 315 1556
51. Pollet L, Prokofev N V and Svistunov B V 2010 Criticality in trapped atomic systems Phys. Rev. Lett. 104 245705