Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 2, 2010, Pages

  Liu, Xia Ji ^a   Hu, Hui ^a   Drummond, Peter D ^a  

^a SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC INTERACTIONS; ENERGY LEVEL; EXACT SOLUTION; EXPERIMENTAL MEASUREMENTS; FERMI GAS; FESHBACH RESONANCES; HARMONIC TRAP; HIGH TEMPERATURE; INTERACTING FERMIONS; ITINERANT FERROMAGNETISM; QUANTUM MONTE CARLO SIMULATIONS; REPULSIVE INTERACTIONS; S-WAVE SCATTERING LENGTHS; SINGLE SPIN; SPHERICAL HARMONICS; THIRD VIRIAL COEFFICIENTS; VIRIAL EXPANSION;

COMPUTER SIMULATION; ELECTRON GAS; EQUATIONS OF STATE; FERROMAGNETISM; HARMONIC ANALYSIS; MONTE CARLO METHODS; QUANTUM THEORY; RESONANCE; TEMPERATURE; THERMODYNAMICS;

FERMIONS;

EID: 77956311611     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.023619     Document Type: Article

References (38)

1. E. Braaten and H. Hammer, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2006.03.001 428, 259 (2006).
2. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
3. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1215 80, 1215 (2008).
4. H. Hu, X.-J. Liu, and P. D. Drummond, New J. Phys. 1367-2630 10.1088/1367-2630/12/6/063038 12, 063038 (2010).
5. C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.1225 82, 1225 (2010).
6. X.-J. Liu, H. Hu, and P. D. Drummond, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.160401 102, 160401 (2009).
7. S. Nascimbène, N. Navon, K. Jiang, F. Chevy, and C. Salomon, Nature (London) NATUAS 0028-0836 10.1038/nature08814 463, 1057 (2010).
8. G.-B. Jo, Y.-R. Lee, J.-H. Choi, C. A. Christensen, T. H. Kim, J. H. Thywissen, D. E. Pritchard, and W. Ketterle, Science SCIEAS 0036-8075 10.1126/science.1177112 325, 1521 (2009).
9. D. Blume and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013601 66, 013601 (2002).
10. J. von Stecher and C. H. Greene, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.090402 99, 090402 (2007).
11. D. Blume and K. M. Daily, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.053626 80, 053626 (2009).
12. D. S. Petrov, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090404 93, 090404 (2004).
13. For a brief review, see for example, F. Ferlaino and R. Grimm, Physics PRLTAO 1943-2879 10.1103/Physics.3.9 3, 9 (2010).
14. E. C. Stoner, Proc. R. Soc. London A PRLTAO 1364-5021 10.1098/rspa.1938.0066 165, 372 (1938).
15. R. A. Duine and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.230403 95, 230403 (2005).
16. S. Zhang, H.-H. Hung, and C. Wu, e-print arXiv: 0805.3031.
17. L. J. LeBlanc, J. H. Thywissen, A. A. Burkov, and A. Paramekanti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.013607 80, 013607 (2009).
18. G. J. Conduit and B. D. Simons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.200403 103, 200403 (2009).
19. G. J. Conduit, A. G. Green, and B. D. Simons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.207201 103, 207201 (2009).
20. H. Zhai, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.051605 80, 051605 (R) (2009).
21. X. Cui and H. Zhai, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81. 041602 81, 041602 (R) (2010).
22. S. Pilati, G. Bertaina, S. Giorgini, and M. Troyer, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.105.030405 105, 030405 (2010).
23. S.-Y. Chang, M. Randeria, and N. Trivedi, e-print arXiv: 1004.2680.
24. H. Dong, H. Hu, X.-J. Liu, and P. D. Drummond, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.013627 82, 013627 (2010).
25. T.-L. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.090402 92, 090402 (2004).
26. H. Hu, P. D. Drummond, and X.-J. Liu, Nat. Phys. PRLTAO 1745-2473 10.1038/nphys598 3, 469 (2007).
27. T. Busch, B. G. Englert, K. Rzazewski, and M. Wilkens, Found. Phys. FNDPA4 0015-9018 10.1023/A:1018705520999 28, 549 (1998).
28. F. Werner and Y. Castin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150401 97, 150401 (2006).
29. F. Werner and Y. Castin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053604 74, 053604 (2006).
30. F. Werner, Ph.D. thesis, Icole Normale Supérieure, 2008.
31. J. P. Kestner and L.-M. Duan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.033611 76, 033611 (2007).
32. T.-L. Ho and E. J. Mueller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.160404 92, 160404 (2004).
33. V. K. Akkineni, D. M. Ceperley, and N. Trivedi, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.76.165116 76, 165116 (2007).
34. A. Bulgac, J. E. Drut, and P. Magierski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.090404 96, 090404 (2006).
35. E. Burovski, N. Prokof'ev, B. Svistunov, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.160402 96, 160402 (2006).
36. H. Hu, X.-J. Liu, and P. D. Drummond, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.033630 81, 033630 (2010).
37. H. Hu, X.-J. Liu, P. D. Drummond, H. Dong, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.240407 104, 240407 (2010).
38. K. M. Daily and D. Blume, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.053615 81, 053615 (2010).