Equilibrium and nonequilibrium entanglement properties of two- and three-dimensional Fermi gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 87, Issue 3, 2013, Pages

  Nespolo, Jacopo ^a   Vicari, Ettore ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ENTANGLEMENT ENTROPY; ENTANGLEMENT PROPERTIES; LOGARITHMIC CORRECTIONS; NON-EQUILIBRIUM DYNAMICS; PARTICLE FLUCTUATIONS; POWER-LAW BEHAVIOR; QUANTUM DYNAMICS; TIME DEPENDENCE;

ELECTRON GAS; ENTROPY; THREE DIMENSIONAL; THREE DIMENSIONAL COMPUTER GRAPHICS;

QUANTUM ENTANGLEMENT;

EID: 84874998330     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.87.032316     Document Type: Article

References (49)

1. E. A. Cornell and C. E. Wieman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.875 74, 875 (2002).
2. N. Ketterle, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.1131 74, 1131 (2002). (Pubitemid 36121906)
3. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
4. A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.863 83, 863 (2011).
5. edited by P. Calabrese, J. Cardy, and B. Doyon, J. Phys. A 1751-8113 10.1088/1751-8121/42/50/500301 42, 500301 (2009).
6. L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.517 80, 517 (2008). (Pubitemid 351697445)
7. J. Eisert, M. Cramer, and M. B. Plenio, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.277 82, 277 (2010).
8. P. Calabrese and J. Cardy, J. Phys. A 1751-8113 10.1088/1751-8113/42/50/ 504005 42, 504005 (2009).
9. M. M. Wolf, F. Verstraete, M. B. Hastings, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.070502 100, 070502 (2008). (Pubitemid 351393592)
10. M. M. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 010404 96, 010404 (2006). (Pubitemid 43248320)
11. D. Gioev and I. Klich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100503 96, 100503 (2006).
12. T. Barthel, M.-C. Chung, and U. Schollwöck, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022329 74, 022329 (2006). (Pubitemid 44385012)
13. W. Li, L. Ding, R. Yu, T. Roscilde, and S. Haas, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.073103 74, 073103 (2006).
14. R. Helling, H. Leschke, and W. Spitzer, Int. Math. Res. Not. 2011, 1451 (2011).
15. L. Ding, N. Bray-Ali, R. Yu, and S. Haas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.215701 100, 215701 (2008). (Pubitemid 351777204)
16. A. Sobolev, Funct. Anal. App. FAAPBZ 0016-2663 10.1007/s10688-010-0042-x 44, 313 (2010);
17. B. Swingle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105. 050502 105, 050502 (2010).
18. P. Calabrese, M. Mintchev, and E. Vicari, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/97/20009 97, 20009 (2012).
19. H. Widom, Oper. Th.: Adv. Appl. 4, 477 (1982).
20. P. Calabrese, M. Mintchev, and E. Vicari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.020601 107, 020601 (2011).
21. P. Calabrese, M. Mintchev, and E. Vicari, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2011/09/P09028 (2011) P09028.
22. M. E. Fisher and R. E. Hartwig, Adv. Chem. Phys. 0065-2385 10.1002/9780470143605.ch18 15, 333 (1968).
23. E. L. Basor and K. E. Morrison, Lin. Alg. Appl. LAAPAW 0024-3795 10.1016/0024-3795(94)90187-2 202, 129 (1994).
24. P. Deift, A. Its, and I. Krasovsky, Ann. Math. ANMAAH 0003-486X 10.4007/annals.2011.174.2.12 174, 1243 (2011).
25. A. del Campo, G. Garcá-Calderón, and J. G. Muga, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.03.002 476, 1 (2009).
26. P. Öhberg and L. Santos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.240402 89, 240402 (2002).
27. P. Pedri, L. Santos, P. Öhberg, and S. Stringari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.043601 68, 043601 (2003).
28. A. Minguzzi and D. M. Gangardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.240404 94, 240404 (2005). (Pubitemid 41636454)
29. M. Rigol and A. Muramatsu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.240403 94, 240403 (2005). (Pubitemid 41636453)
30. A. del Campo and J. G. Muga, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10061-5 74, 965 (2006). (Pubitemid 43966572)
31. D. M. Gangardt and M. Pustilnik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.041604 77, 041604 (2008). (Pubitemid 351533135)
32. F. Gerbier, S. Trotzky, S. Fölling, U. Schnorrberger, J. D. Thompson, A. Widera, I. Bloch, L. Pollet, M. Troyer, B. Capogrosso-Sansone, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.155303 101, 155303 (2008).
33. F. Heidrich-Meisner, M. Rigol, A. Muramatsu, A. E. Feiguin, and E. Dagotto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013620 78, 013620 (2008).
34. F. Heidrich-Meisner, S. R. Manmana, M. Rigol, A. Muramatsu, A. E. Feiguin, and E. Dagotto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80. 041603 80, 041603 (R) (2009).
35. S. Langer, M. J. A. Schuetz, I. P. McCulloch, U. Schollwöck, and F. Heidrich-Meisner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.043618 85, 043618 (2012).
36. E. Vicari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.062324 85, 062324 (2012).
37. C. J. Bolech, F. Heidrich-Meisner, S. Langer, I. P. McCulloch, G. Orso, and M. Rigol, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.110602 109, 110602 (2012).
38. U. Schneider, L. Hackermüller, J. P. Ronzheimer, S. Will, S. Braun, T. Best, I. Bloch, E. Demler, S. Mandt, D. Rasch, and A. Rosch, Nat. Phys. 1745-2473 10.1038/nphys2205 8, 213 (2012).
39. P. Calabrese and J. Cardy, J. Stat. Mech. 1742-5468 10.1088/1742-5468/ 2004/06/P06002 (2004) P06002.
40. P. Calabrese, M. Mintchev, and E. Vicari, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/98/20003 98, 20003 (2012).
41. E. Lukacs, Characteristic Functions (C. Griffin, London, 1970).
42. I. Peschel, J. Phys. A 1361-6447 10.1088/0305-4470/36/14/101 36, L203 (2003).
43. H. F. Song, S. Rachel, C. Flindt, I. Klich, N. Laflorencie, and K. Le Hur, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.035409 85, 035409 (2012).
44. E. Vicari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.062104 85, 062104 (2012).
45. I. Klich and L. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.100502 102, 100502 (2009).
46. H. F. Song, C. Flindt, S. Rachel, I. Klich, and K. Le Hur, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.161408 83, 161408 (2011).
47. I. Peschel and V. Eisler, J. Phys. A 1751-8113 10.1088/1751-8113/42/50/ 504003 42, 504003 (2009).
48. M. Fagotti and P. Calabrese, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2011/01/P01017 (2011) P01017.
49. L. D. Landau and L. M. Lifshitz, Quantum Mechanics Non-Relativistic Theory (Pergamon, New York, 1977).