Compressibility and entropy of cold fermions in one-dimensional optical lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 6, 2011, Pages

  Snyder, Andrew ^a   Tanabe, Iori ^a   De Silva, Theja ^a  

^a BINGHAMTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY VALUES; ATOMIC CLOUDS; BETHE ANSATZ METHOD; COLD FERMIONS; COLUMN DENSITY; EXPERIMENTAL SCHEME; FINITE TEMPERATURES; INSULATING PHASIS; METALLIC PHASIS; ONE DIMENSIONAL OPTICAL LATTICE; PARTICLE NUMBER DENSITY; THERMODYNAMIC QUANTITIES;

COMPRESSIBILITY; ENTROPY; METAL INSULATOR BOUNDARIES; METAL INSULATOR TRANSITION; SEMICONDUCTOR INSULATOR BOUNDARIES; THERMODYNAMICS;

TEMPERATURE;

EID: 79961050728     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.063632     Document Type: Article

References (30)

1. H. Bethe, Z. Phys. EPJAFV 1434-6001 10.1007/BF01341708 71, 205 (1931).
2. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.1445 20, 1445 (1968).
3. An excellent review of the 1D-Hubbard model is given in the book by F. H. L. Essler, The One-Dimensional Hubbard Model (Cambridge University Press, Cambridge, 2005).
4. For a review on ultracold gases see for example, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1215 80, 1215 (2008);
5. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
6. M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002). (Pubitemid 34062442)
7. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
8. R. Jordens, N. Strohmaier, K. Gunter, H. Moritz, and T. Esslinger, Nature (London) NATUAS 0028-0836 10.1038/nature07244 455, 204 (2008).
9. U. Schneider, L. Hackermller, S. Will, Th. Best, I. Bloch, T. A. Costi, R. W. Helmes, D. Rasch, and A. Rosch, Science SCIEAS 0036-8075 10.1126/science.1165449 322, 1520 (2008).
10. R. Jordens, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104. 180401 104, 180401 (2010).
11. L. Hackermuller, U. Schneider, M. Moreno-Cardoner, T. Kitagawa, T. Best, S. Will, E. Demler, E. Altman, I. Bloch, and B. Paredes, Science SCIEAS 0036-8075 10.1126/science.1184565 327, 1621 (2010).
12. V. L. Campo Jr. and K. Capelle, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.061602 72, 061602 (R) (2005). (Pubitemid 43272763)
13. H. Heiselberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.033608 74, 033608 (2006). (Pubitemid 44396671)
14. M. Rigol, A. Muramatsu, G. G. Batrouni, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.130403 91, 130403 (2003).
15. X. J. Liu, P. D. Drummond, and H. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.136406 94, 136406 (2005). (Pubitemid 40620492)
16. V. W. Scarola, L. Pollet, J. Oitmaa, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.135302 102, 135302 (2009).
17. J. H. Hu and G. Xianlong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.045602 81, 045602 (2010).
18. L. Barbiero, M. Casadei, M. Dalmonte, C. Degli Esposti Boschi, E. Ercolessi, and F. Ortolani, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81. 224512 81, 224512 (2010).
19. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.1445 20, 1445 (1968).
20. M. Takahashi, Thermodynamics of One-Dimensional Solvable Models (Cambridge University Press, Cambridge, 1999).
21. N. A. Lima, M. F. Silva, L. N. Oliveira, and K. Capelle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.066104 90, 146402 (2003).
22. M. Takahashi, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.47.69 47, 69 (1972).
23. A good discussion on TBA equations can be found, for example, in Ref., Chap. 14.
24. M. Takahashi and M. Shiroishi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.165104 65, 165104 (2002).
25. S. Fuchs, E. Gull, L. Pollet, E. Burovski, E. Kozik, T. Pruschke, and M. Troyer, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.106.030401 106, 030401 (2011).
26. T. Paiva, R. Scalettar, M. Randeria, and N. Trivedi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.066406 104, 066406 (2010).
27. Y. Liao, Nature (London) NATUAS 0028-0836 10.1038/nature09393 467, 567 (2010).
28. T.-L. Ho and Q. Zhou, Nature Phys. NATUAS 1745-2473 10.1038/nphys1477 6, 131 (2010).
29. S. Nascimbene, Nature (London) NATUAS 0028-0836 10.1038/nature08814 463, 1057 (2010).
30. Qi Zhou and Tin-Lun Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.245702 105, 245702 (2010).