Superfluidity in a gas of strongly interacting fermions

BCS: 50 Years

Volumn , Issue , 2010, Pages 491-508

  Ketterle, W ^a   Shin, Y ^a   Schirotzek, A ^a   Schunk, C H ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON GAS; PHASE SEPARATION; POLARIZATION; RADIOFREQUENCY SPECTROSCOPY; SPIN POLARIZATION; WAVE FUNCTIONS;

BCS-BEC CROSSOVER; BOSON-FERMION MIXTURES; INTERACTING FERMIONS; INTERACTION STRENGTH; PAIRING CORRELATIONS; PARAMETER SPACES; SPATIAL STRUCTURE; STRONG INTERACTION;

FERMIONS;

EID: 84969592951     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789814304665_0019     Document Type: Chapter

References (68)

1. P. Kapitza, Viscosity of liquid helium below the point, Nature 141, 74 (1938).
2. J. F. Allen and A. D. Misener, Flow of liquid helium II, Nature 141, 75 (1938).
3. K. Onnes, Investigations into the properties of substances at low temperatures, which have led, amongst other things, to the preparation of liquid helium. In Nobel Lectures, Physics 1901-1921 (Elsevier Publishing Company, Amsterdam, 1967).
4. J. Bardeen, L. N. Cooper and J. R. Schrieér, Theory of superconductivity, Phys. Rev. 108, 1175 (1957).
5. P. Noziéres and S. Schmitt-Rink, Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity, J. Low Temp. Phys. 59, 195 (1985).
6. C. A. R. S. de Melo, M. Randeria and J. R. Engelbrecht, Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg- Landau theory, Phys. Rev. Lett. 71, 3202 (1993).
7. H. Hu, X.-J. Liu and P. D. Drummond, Temperature of a tarpped unitary Fermi gas at finite entropy, Phys. Rev. A 73, 023617 (2006).
8. R. Haussmann, W. Rantner, S. Cerrito and W. Zwerger, Thermodynamics of the BCS-BEC crossover, Phys. Rev. A 75, 023610 (2007).
9. Y. Nishida and D. T. Son, expansion for a Fermi gas at infinite scattering length, Phys. Rev. Lett. 97, 050403 (2006).
10. A. Bulgac, J. E. Drut and P. Magierski, Spin 1/2 fermions in the unitary regime: A superuid of a new type, Phys. Rev. Lett. 96, 090404 (2006).
11. E. Burovski, N. Prokof'ev, B. Svistunov and M. Troyer, Critical temperature and thermodynamics of attractive fermions at unitarity, Phys. Rev. Lett. 96, 160402 (2006).
12. W. Ketterle, Y. Shin, A. Schirotzek and C. H. Schunk, Superuidity in a gas of strongly interacting fermions, J. Phys.: Cond. Matt. 21, 164206 (2009).
13. D. J. Scalapino, The case for dx2 ??y2 pairing in the cuprate superconductors, Phys. Rep. 250, 329 (1995).
14. E. A. Cornell and C. E. Wieman, Nobel lecture: Bose-Einstein condensation in a dilute gas, the first 70 years and some recent experiments, Rev. Mod. Phys. 74, 875 (2002).
15. W. Ketterle, Nobel lecture: When atoms behave as waves: Bose-Einstein condensation and the atom laser, Rev. Mod. Phys. 74, 1131 (2002).
16. M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch and I. Bloch, Quantum phase transition from a superuid to a Mott insulator in a gas of ultracold atoms, Nature 415, 39 (2002).
17. A. H. van Amerongen, J. J. van Es, P. Wicke, K. V. Kheruntsyan and N. J. van Druten, Yang-Yang thermodynamics on an atom chip, Phys. Rev. Lett. 100, 090402 (2008).
18. T. Kinoshita, T. Wenger and D. S. Weiss, Observation of a one-dimensional Tonks-Girardeau gas, Science 305, 1125 (2004).
19. M. Incuscio, W. Ketterle and C. Salomon (eds.), Ultra-cold Fermi Gases, Proceedings of the International School of Physics \Enrico Fermi" Course CLXIV (2007). IOS press.
20. R. Jördens, N. Strohmaier, K. Gunter, H. Moritz and T. Esslinger, A Mott insulator of fermionic atoms in an optical lattice, Nature 455, 204 (2008).
21. U. Schneider, L. Hackermüller, S. Will, T. Best, I. Bloch, T. A. Costi, R. W. Helmes, D. Rasch and A. Rosch, Metallic and insulating phases of repulsively interacting fermions in a 3d optical lattice, Science 322, 1520 (2008).
22. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer and A. Aspect, Direct observation of Anderson localization of matter-waves in a controlled disorder, Nature 453, 891 (2008).
23. G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno and M. Incuscio, Anderson localization of a non-interacting Bose- Einstein condensate, Nature 453, 895 (2008).
24. M. R. Schafroth, J. M. Blatt and S. T. Butler, Helv. Phys. Acta. 30, 93 (1957).
25. M. Baranger, Reformulation of the theory of pairing correlations, Phys. Rev. 130, 1244 (1963).
26. D. M. Eagles, Possible pairing without superconductivity at low carrier concentrations in bulk and thin-film superconducting semiconductors, Phys. Rev. 186, 456 (1969).
27. A. J. Leggett, Diatomic molecules and Cooper pairs, Modern Trends in the Theory of Condensed Matter (Springer-Verlag Berlin, 1980), pp. 13-27.
28. M. Greiner, C. A. Regal and D. S. Jin, Emergence of a molecular Bose-Einstein condensate from a Fermi gas, Nature 426, 537 (2003).
29. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. H. Denschlag and R. Grimm, Bose-Einstein condensation of molecules, Science 302, 2101 (2003).
30. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic and W. Ketterle, Observation of Bose-Einstein condensation of molecules, Phys. Rev. Lett. 91, 250401 (2003).
31. I. Bloch, J. Dalibard and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys. 80, 885 (2008).
32. C. A. Regal, M. Greiner and D. S. Jin, Observation of resonance condensation of fermionic atom pairs, Phys. Rev. Lett. 92, 040403 (2004).
33. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman and W. Ketterle, Condensation of pairs of fermionic atoms near a Feshbach resonance, Phys. Rev. Lett. 92, 120403 (2004).
34. M. W. Zwierlein, J. R. Abo-Shaeer, A. Schirotzek, C. H. Schunck and W. Ketterle, Vortices and superuidity in a strongly interacting Fermi gas, Nature 435, 1047 (June, 2005).
35. B. S. Chandrasekhar, A note on the maximum critical field of high-field superconductors, Appl. Phys. Lett. 1, 7 (1962).
36. A. M. Clogston, Upper limit for the critical field in hard superconductors, Phys. Rev. Lett. 9, 266 (1962).
37. P. Fulde and R. A. Ferrell, Superconductivity in a strong spin-exchange field, Phys. Rev. 135, A550 (1964).
38. A. I. Larkin and Y. N. Ovchinnikov, Inhomogeneous state of superconductors, Sov. Phys. JETP 20, 762 (1965).
39. M. Strongin and O. F. Kammerer, Effect of electron-spin paramagnetism on the critical field of thin Al films, Phys. Rev. Lett. 16, 456 (1966).
40. M. W. Zwierlein, A. Schirotzek, C. H. Schunck and W. Ketterle, Fermionic superuidity with imbalanced spin populations, Science 311, 492 (2006).
41. M. W. Zwierlein, C. H. Schunck, A. Schirotzek and W. Ketterle, Direct observation of the superuid phase transition in ultracold Fermi gases, Nature 442, 54 (2006).
42. G. B. Partridge, W. Li, R. I. Karmar, Y. Liao and R. G. Hulet, Pairing and phase separation in a polarized fermi gas, Science 311, 503 (2006).
43. G. B. Partridge, W. Li, R. I. Karmar, Y. Liao and R. G. Hulet, Deformation of a trapped Fermi gas with unequal spin populations, Phys. Rev. Lett. 97, 190407 (2006).
44. M. M. Parish and D. A. Huse, Evaporative depolarization and spin transport in a unitary trapped Fermi gas, Phys. Rev. A (Atomic, Molecular, and Optical Physics) 80, 063605 (2009).
45. Y. Shin, M. W. Zwierlein, C. H. Schunck, A. Schirotzek and W. Ketterle, Observation of phase separation in a strongly interacting imbalanced Fermi gas, Phys. Rev. Lett. 97, 030401 (2006).
46. Y. Shin, C. H. Schunck, A. Schirotzek and W. Ketterle, Phase diagram of a two-component Fermi gas with resonant interactions, Nature 451, 689 (2008).
47. Y. Shin, C. H. Schunck, A. Schirotzek and W. Ketterle, Realization of a strongly insteracting Bose-Fermi mixture with a two-component Fermi gas, Phys. Rev. Lett. 101, 070404 (2008).
48. C. H. Schunck, Y. Shin, A. Schirotzek and W. Ketterle, Determination of the fermion pair size in a resonantly interacting superuid, Nature 454, 739 (2008).
49. A. Schirotzek, Y. Shin, C. H. Schunck and W. Ketterle, Determination of the superuid gap in atomic Fermi gases by quasiparticle spectroscopy, Phys. Rev. Lett. 101, 140403 (2008).
50. P. F. Bedaque, H. Caldas and G. Rupak, Phase separation in asymmetrical fermion superuids, Phys. Rev. Lett. 91, 247002 (2003).
51. J. Carlson and S. Reddy, Asymmetric two-component fermion systems in strong coupling, Phys. Rev. Lett. 95, 060401 (2005).
52. D. E. Sheehy and L. Radzihovsky, BEC-BCS crossover in \magnetized" Feshbach-resonantly paired superuids, Phys. Rev. Lett. 96, 060401 (2006).
53. M. M. Parish, F. M. Marchetti, A. Lamacraft and B. D. Simons, Finitetemperature phase diagram of a polarized Fermi condensate, Nature Phys. 3, 124 (2007).
54. Y. Shin, Determination of the equation of state of a polarized Fermi gas at unitarity, Phys. Rev. A 77, 041603(R) (2008).
55. P. Pieri and G. C. Strinati, Trapped fermions with density imbalance in the Bose-Einstein condensate limit, Phys. Rev. Lett. 96, 150404 (2006).
56. G. V. Skorniakov and K. A. Ter-Martirosian, Sov. Phys. JETP 4, 648 (1957).
57. T. D. Lee, K. Huang and C. N. Yang, Eigenvalues and eigenfunctions of a Bose system of hard spheres and its low-temperature properties, Phys. Rev. 106, 1135 (1957).
58. C. Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, J. H. Denschlag and R. Grimm, Observation of the pairing gap in a strongly interacting Fermi gas, Science 305, 1128 (2004).
59. C. H. Schunck, Y. Shin, A. Schirotzek, M. W. Zwierlein and W. Ketterle, Pairing without superuidity: The ground state of an imbalanced Fermi mixture, Science 316, 867 (2007).
60. Y. Shin, C. H. Schunck, A. Schirotzek and W. Ketterle, Tomographic RF spectroscopy of a trapped Fermi gas at unitarity, Phys. Rev. Lett. 99, 090403 (2007).
61. F. Pistolesi and G. C. Strinati, Evolution of BCS superconductivity to Bose condensation: Role of the parameter kf, Phys. Rev. B 49, 6356 (1994).
62. J. T. Stewart, J. P. Gaebler and D. S. Jin, Using photoemission spectroscopy to probe a strongly interacting Fermi gas, Nature 454, 744 (2008).
63. C. Lobo, A. Recati, S. Giorgini and S. Stringari, Normal state of a polarized Fermi gas at unitarity, Phys. Rev. Lett. 97, 200403 (2006).
64. R. Combescot, A. Recati, C. Lobo and F. Chevy, Normal state of highly polarized Fermi gases: Simple many-body approaches, Phys. Rev. Lett. 98, 180402 (2007).
65. N. Prokof'ev and B. Svistunov, Fermi-polaron problem: Diagrammatic Monte Carlo for divergent sign-alternating series, Phys. Rev. B 77, 020408(R) (2008).
66. A. Schirotzek, C.-H. Wu, A. Sommer and M. W. Zwierlein, Observation of Fermi polarons in a tunable Fermi liquid of ultracold atoms, Phys. Rev. Lett. 102, 230402 (2009).
67. S. Nascimbéne, N. Navon, K. J. Jiang, L. Tarruell, M. Teichmann, J. McKeever, F. Chévy and C. Salomon, Collective oscillations of an imbalanced Fermi gas: Axial compression modes and polaron effective mass, Phys. Rev. Lett. 103, 170402 (2009).
68. A. Bulgac, M. M. Forbes and A. Schwenk, Induced p-wave superuidity in asymmetric Fermi gases, Phys. Rev. Lett. 97, 020402 (2006).