Universal Contact for a Tonks-Girardeau Gas at Finite Temperature

Physical Review Letters

Volumn 110, Issue 2, 2013, Pages

  Vignolo, Patrizia ^a   Minguzzi, Anna ^b  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b UNIV GRENOBLE ALPES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE GAS; FERMI GAS; FINITE TEMPERATURES; HARMONIC CONFINEMENT; HIGH TEMPERATURE; MOMENTUM DISTRIBUTIONS; SCALE INVARIANCE; THREE DIMENSIONS; TONKS-GIRARDEAU GAS; UNIVERSAL PROPERTIES; VIRIAL EXPANSION;

ELECTRON GAS;

BOSONS;

EID: 84872145892     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.020403     Document Type: Article

References (41)

1. T.-L. Ho and E. J. Mueller, Phys. Rev. Lett. 92, 160404 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.160404
2. L. Viverit, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 69, 013607 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.013607
3. S. Tan, Ann. Phys. (Amsterdam) 323, 2971 (2008). APNYA6 0003-4916 10.1016/j.aop.2008.03.005
4. S. Tan, Ann. Phys. (Amsterdam) 323, 2987 (2008). APNYA6 0003-4916 10.1016/j.aop.2008.03.003
5. S. Tan, Ann. Phys. (Amsterdam) 323, 2952 (2008). APNYA6 0003-4916 10.1016/j.aop.2008.03.004
6. E. Braaten and L. Platter, Phys. Rev. Lett. 100, 205301 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.205301
7. F. Werner, L. Tarruel, and Y. Castin, Eur. Phys. J. B 68, 401 (2009). EPJBFY 1434-6028 10.1140/epjb/e2009-00040-8
8. S. Zhang and A. J. Leggett, Phys. Rev. A 79, 023601 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.023601
9. K. M. O'Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science 298, 2179 (2002). SCIEAS 0036-8075 10.1126/science.1079107
10. T. Bourdel, J. Cubizolles, L. Khaykovich, K. M. F. Magalhães, S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Phys. Rev. Lett. 91, 020402 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.020402
11. J. Kinast, A. Turlapov, J. E. Thomas, Q. Chen, J. Stajic, and K. Levin, Science 307, 1296 (2005). SCIEAS 0036-8075 10.1126/science.1109220
12. J. T. Stewart, J. P. Gaebler, T. E. Drake, and D. S. Jin, Phys. Rev. Lett. 104, 235301 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.235301
13. M. J. H. Ku, A. T. Sommer, L. W. Cheuk, and M. W. Zwierlein, Science 335, 563 (2012). SCIEAS 0036-8075 10.1126/science.1214987
14. K. V. Houcke, F. Werner, E. Kozik, N. Prokof'ev, B. Svistunov, M. J. H. Ku, A. T. Sommer, L. W. Cheuk, A. Schirotzek, and M. W. Zwierlein, Nat. Phys. 8, 366 (2012). NPAHAX 1745-2473 10.1038/nphys2273
15. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) 429, 277 (2004). NATUAS 0028-0836 10.1038/nature02530
16. T. Kinoshita, T. R. Wenger, and D. S. Weiss, Science 305, 1125 (2004). SCIEAS 0036-8075 10.1126/science.1100700
17. T. Kinoshita, T. R. Wenger, and D. S. Weiss, Nature (London) 440, 900 (2006). NATUAS 0028-0836 10.1038/nature04693
18. S. Palzer, C. Zipkes, C. Sias, and M. Köhl, Phys. Rev. Lett. 103, 150601 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.150601
19. A. H. van Amerongen, J. J. P. vanEs, P. Wicke, K. V. Kheruntsyan, and N. J. vanDruten, Phys. Rev. Lett. 100, 090402 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.090402
20. T. Jacqmin, J. Armijo, T. Berrada, K. V. Kheruntsyan, and I. Bouchoule, Phys. Rev. Lett. 106, 230405 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106. 230405
21. M. D. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960). JMAPAQ 0022-2488 10.1063/1.1703687
22. D. M. Gangardt and G. V. Shlyapnikov, Phys. Rev. Lett. 90, 010401 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.010401
23. M. Barth and W. Zwerger, Ann. Phys. (N.Y.) 326, 2544 (2011). APNYA6 0003-4916 10.1016/j.aop.2011.05.010
24. T. Jacqmin, B. Fang, T. Berrada, T. Roscilde, and I. Bouchoule, Phys. Rev. A 86, 043626 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.043626
25. K. V. Kheruntsyan, D. M. Gangardt, P. D. Drummond, and G. V. Shlyapnikov, Phys. Rev. Lett. 91, 040403 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91. 040403
26. I. Bouchoule, K. V. Kheruntsyan, and G. V. Shlyapnikov, Phys. Rev. A 75, 031606 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.75.031606
27. K. Kozlowski, J. Maillet, and N. Slavnov, J. Stat. Mech. (2011) P03019. JSMTC6 1742-5468 10.1088/1742-5468/2011/03/P03019
28. T. Giamarchi, Quantum Physics in One Dimension (Clarendon, Oxford, 2003).
29. A. Lenard, J. Math. Phys. (N.Y.) 7, 1268 (1966). JMAPAQ 0022-2488 10.1063/1.1705029
30. M. Rigol, Phys. Rev. A 72, 063607 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.063607
31. K. K. Das, M. D. Girardeau, and E. M. Wright, Phys. Rev. Lett. 89, 170404 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.170404
32. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.110.020403 for the derivation and further details.
33. A. Lenard, J. Math. Phys. (N.Y.) 5, 930 (1964). JMAPAQ 0022-2488 10.1063/1.1704196
34. R. Pezer and H. Buljan, Phys. Rev. Lett. 98, 240403 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.240403
35. J. Goold and Th. Busch, Phys. Rev. A 77, 063601 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.77.063601
36. A. Minguzzi, P. Vignolo, and M. Tosi, Phys. Lett. A 294, 222 (2002). PYLAAG 0375-9601 10.1016/S0375-9601(02)00042-7
37. M. Olshanii and V. Dunjko, Phys. Rev. Lett. 91, 090401 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.090401
38. B. Y. Fang, P. Vignolo, C. Miniatura, and A. Minguzzi, Phys. Rev. A 79, 023623 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.023623
39. H. Hu, X.-J. Liu, and P. D. Drummond, New J. Phys. 13, 035007 (2011). NJOPFM 1367-2630 10.1088/1367-2630/13/3/035007
40. T. Busch, B.-G. Englert, K. Rzazewski, and M. Wilkens, Found. Phys. 28, 549 (1998). FNDPA4 0015-9018 10.1023/A:1018705520999
41. E. Haller, M. Rabie, M. J. Mark, J. G. Danzl, R. Hart, K. Lauber, G. Pupillo, and H.-C. Nägerl, Phys. Rev. Lett. 107, 230404 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.230404