Work distribution and edge singularities for generic time-dependent protocols in extended systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 88, Issue 4, 2013, Pages

  Smacchia, Pietro ^a,b   Silva, Alessandro ^a,c  

^a SISSA   (Italy)

^b SEZIONE DI TRIESTE   (Italy)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONIC FIELD THEORY; CONDENSATION TRANSITION; EDGE SINGULARITIES; EXTENDED SYSTEMS; GENERIC PROTOCOLS; ONE-DIMENSIONAL ISING CHAIN; TRANSVERSE FIELD; WORK DISTRIBUTION;

CONDENSED MATTER PHYSICS;

PHYSICS;

EID: 84885991401     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.042109     Document Type: Article

References (45)

1. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
2. M. Greiner, O. Mandel, T. W. Hansch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002). (Pubitemid 34987866)
3. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
4. M. Kollar, F. A. Wolf, and M. Eckstein, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.054304 84, 054304 (2011).
5. J. Berges, S. Borsányi, and C. Wetterich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.142002 93, 142002 (2004).
6. M. Gring, M. Kuhnert, T. Langen, T. Kitagawa, B. Rauer, M. Schreitl, I. Mazets, D. A. Smith, E. Demler, and J. Schmiedmayer, Science SCIEAS 0036-8075 10.1126/science.1224953 337, 1318 (2012).
7. T. Kitagawa, A. Imambekov, J. Schmiedmayer, and E. Demler, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/7/073018 13, 073018 (2011).
8. M. Harlander, R. Lechner, M. Brownnutt, R. Blatt, and W. Hensel, Nature (London) NATUAS 0028-0836 10.1038/nature09800 471, 200 (2011).
9. J. Cardy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106. 150404 106, 150404 (2011).
10. T. Caneva, T. Calarco, and S. Montangero, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.022326 84, 022326 (2011).
11. E. H. Lieb and D. W. Robinson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01645779 28, 251 (1972).
12. P. Calabrese and J. Cardy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.136801 96, 136801 (2006).
13. P. Calabrese and J. Cardy, J. Stat. Mech. 1742-5468 10.1088/1742-5468/ 2005/04/P04010 (2005) P04010.
14. P. Calabrese and J. Cardy, J. Stat. Mech. 1742-5468 10.1088/1742-5468/ 2007/06/P06008 (2007) P06008.
15. L. Cincio, J. Dziarmaga, M. M. Rams, and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.052321 75, 052321 (2007). (Pubitemid 47014584)
16. J.-M. Stéphan and J. Dubail, J. Stat. Mech. 10.1088/1742-5468/ 2011/08/P08019 (2011) P08019.
17. A. Gambassi and A. Silva, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.250602 109, 250602 (2012).
18. A. Silva, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 120603 101, 120603 (2008).
19. A. Gambassi and A. Silva, arXiv: 1106.2671.
20. S. Sotiriadis, A. Gambassi, and A. Silva, Phys. Rev. E 10.1103/PhysRevE.87.052129 87, 052129 (2013).
21. A. Polkovnikov, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2010.08. 004 326, 486 (2011).
22. G. Bunin, L. D'Alessio, Y. Kafri, and A. Polkovnikov, Nat. Phys. 1745-2473 10.1038/nphys2057 7, 913 (2011).
23. M. Campisi, P. Hänggi, and P. Talkner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.771 83, 771 (2011).
24. C. Jarzynski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78. 2690 78, 2690 (1997).
25. J. Kurchan, arXiv: cond-mat/0007360.
26. M. Heyl, A. Polkovnikov, and S. Kehrein, Phys. Rev. Lett. 10.1103/PhysRevLett.110.135704 110, 135704 (2013).
27. M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.1405 83, 1405 (2011).
28. V. Gritsev, E. Demler, M. Lukin, and A. Polkovnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.200404 99, 200404 (2007). (Pubitemid 350127392)
29. V. Gritsev, A. Polkovnikov, and E. Demler, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.174511 75, 174511 (2007).
30. P. Smacchia and A. Silva, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.037202 109, 037202 (2012).
31. P. Talkner, E. Lutz, and P. Hänggi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.050102 75, 050102 (2007). (Pubitemid 47000998)
32. H. Touchette, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.05.002 478, 1 (2009).
33. P. Anderson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.18. 1049 18, 1049 (1967).
34. S. Deffner and E. Lutz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.021128 77, 021128 (2008). (Pubitemid 351393470)
35. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
36. J. Dziarmaga, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 245701 95, 245701 (2005). (Pubitemid 43272890)
37. G. Mussardo, Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics (Oxford University Press, Oxford, 2009).
38. J. B. Zuber and C. Itzykson, Phys. Rev. D 0556-2821 10.1103/PhysRevD.15. 2875 15, 2875 (1977).
39. C. L. Kane, K. A. Matveev, and L. I. Glazman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.2253 49, 2253 (1994).
40. A. O. Gogolin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 2995 71, 2995 (1993).
41. I. Affleck and A. Ludwig, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/27/16/007 27, 5375 (1994).
42. A. Komnik, R. Egger, and A. O. Gogolin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.1153 56, 1153 (1997).
43. A. Furusaki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.9352 56, 9352 (1997).
44. R. Dorner, S. R. Clark, L. Heaney, R. Fazio, J. Goold, and V. Vedral, Phys. Rev. Lett. 10.1103/PhysRevLett.110.230601 110, 230601 (2013).
45. L. Mazzola, G. De Chiara, and M. Paternostro, Phys. Rev. Lett. 10.1103/PhysRevLett.110.230602 110, 230602 (2013).