Quantum quench across a holographic critical point

Journal of High Energy Physics

Volumn 2012, Issue 1, 2012, Pages

  Basu, Pallab ^a   Das, Sumit R ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

AdS CFT Correspondence; Black Holes in String Theory; Holography and condensed matter physics (AdS CMT)

Indexed keywords

EID: 84863393530     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2012)103     Document Type: Article

References (85)

1. S. Mondal, D. Sen and K. Sengupta, Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer, arXiv:0908.2922.
2. J. Dziarmaga, Dynamics of a quantum phase transition and relaxation to a steady state, Adv. Phys. 59 (2010) 1063 [arXiv:0912.4034].
3. A. Polkovnikov, K. Sengupta, A. Silva and M. Vengalattore, Nonequilibrium dynamics of closed interacting quantum systems, Rev. Mod. Phys. 83 (2011) 863 [arXiv:1007.5331] [INSPIRE].
4. P. Calabrese and J.L. Cardy, Evolution of entanglement entropy in one-dimensional systems, J. Stat. Mech. (2005) P04010 [cond-mat/0503393] [INSPIRE].
5. P. Calabrese and J.L. Cardy, Time-dependence of correlation functions following a quantum quench, Phys. Rev. Lett. 96 (2006) 136801 [cond-mat/0601225] [INSPIRE].
6. P. Calabrese and J. Cardy, Quantum quenches in extended systems, J. Stat. Mech. (2007) P06008 [arXiv:0704.1880] [INSPIRE].
7. S. Sotiriadis and J. Cardy, Inhomogeneous quantum quenches, J. Stat. Mech. (2008) P11003 [arXiv:0808.0116].
8. S. Sotiriadis, P. Calabrese and J. Cardy, Quantum quench from a thermal initial state, Eur. Phys. Lett. 87 (2009) 20002 [arXiv:0903.0895].
9. S. Sotiriadis and J. Cardy, Quantum quench in interacting field theory: a self-consistent approximation, Phys. Rev. B 81 (2010) 134305 [arXiv:1002.0167] [INSPIRE].
10. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
11. Int. J. Theor. Phys. 38 (1999) 1133 [hep-th/9711200] [INSPIRE].
12. S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
13. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
14. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
15. R.A. Janik and R.B. Peschanski, Gauge/gravity duality and thermalization of a boost-invariant perfect uid, Phys. Rev. D 74 (2006) 046007 [hep-th/0606149] [INSPIRE].
16. R.A. Janik, Viscous plasma evolution from gravity using AdS/CFT, Phys. Rev. Lett. 98 (2007) 022302 [hep-th/0610144] [INSPIRE].
17. P.M. Chesler and L.G. Yaffe, Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 102 (2009) 211601 [arXiv:0812.2053] [INSPIRE].
18. P.M. Chesler and L.G. Yaffe, Boost invariant ow, black hole formation and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory, Phys. Rev. D 82 (2010) 026006 [arXiv:0906.4426] [INSPIRE].
19. S. Bhattacharyya and S. Minwalla, Weak field black hole formation in asymptotically AdS spacetimes, JHEP 09 (2009) 034 [arXiv:0904.0464] [INSPIRE].
20. D. Garfinkle and L.A. Pando Zayas, Rapid thermalization in field theory from gravitational collapse, Phys. Rev. D 84 (2011) 066006 [arXiv:1106.2339] [INSPIRE].
21. J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic evolution of entanglement entropy, JHEP 11 (2010) 149 [arXiv:1006.4090] [INSPIRE].
22. H. Ebrahim and M. Headrick, Instantaneous thermalization in holographic plasmas, arXiv:1010.5443 [INSPIRE].
23. V. Balasubramanian et al., Thermalization of strongly coupled field theories, Phys. Rev. Lett. 106 (2011) 191601 [arXiv:1012.4753] [INSPIRE].
24. V. Balasubramanian et al., Holographic thermalization, Phys. Rev. D 84 (2011) 026010 [arXiv:1103.2683] [INSPIRE].
25. T. Albash and C.V. Johnson, Evolution of holographic entanglement entropy after thermal and electromagnetic quenches, New J. Phys. 13 (2011) 045017 [arXiv:1008.3027] [INSPIRE].
26. T. Takayanagi and T. Ugajin, Measuring black hole formations by entanglement entropy via coarse-graining, JHEP 11 (2010) 054 [arXiv:1008.3439] [INSPIRE].
27. C.T. Asplund and S.G. Avery, Evolution of entanglement entropy in the D1-D5 brane system, arXiv:1108.2510 [INSPIRE].
28. S.R. Das, J. Michelson, K. Narayan and S.P. Trivedi, Time dependent cosmologies and their duals, Phys. Rev. D 74 (2006) 026002 [hep-th/0602107] [INSPIRE].
29. A. Awad, S.R. Das, A. Ghosh, J.-H. Oh and S.P. Trivedi, Slowly varying dilaton cosmologies and their field theory duals, Phys. Rev. D 80 (2009) 126011 [arXiv:0906.3275] [INSPIRE].
30. T. Hertog and G.T. Horowitz, Towards a big crunch dual, JHEP 07 (2004) 073 [hep-th/0406134] [INSPIRE].
31. T. Hertog and G.T. Horowitz, Holographic description of AdS cosmologies, JHEP 04 (2005) 005 [hep-th/0503071] [INSPIRE].
32. N. Turok, B. Craps and T. Hertog, From big crunch to big bang with AdS/CFT, arXiv:0711.1824 [INSPIRE].
33. B. Craps, T. Hertog and N. Turok, Quantum resolution of cosmological singularities using AdS/CFT, arXiv:0712.4180 [INSPIRE].
34. J. McGreevy and E. Silverstein, The tachyon at the end of the universe, JHEP 08 (2005) 090 [hep-th/0506130] [INSPIRE].
35. E. Silverstein, Dimensional mutation and spacelike singularities, Phys. Rev. D 73 (2006) 086004 [hep-th/0510044] [INSPIRE].
36. G. Horowitz, A. Lawrence and E. Silverstein, Insightful D-branes, JHEP 07 (2009) 057 [arXiv:0904.3922] [INSPIRE].
37. S.R. Das, T. Nishioka and T. Takayanagi, Probe branes, time-dependent couplings and thermalization in AdS/CFT, JHEP 07 (2010) 071 [arXiv:1005.3348] [INSPIRE].
38. K. Hashimoto, N. Iizuka and T. Oka, Rapid thermalization by baryon injection in gauge/gravity duality, Phys. Rev. D 84 (2011) 066005 [arXiv:1012.4463] [INSPIRE].
39. K.-Y. Kim, J.P. Shock and J. Tarrio, The open string membrane paradigm with external electromagnetic fields, JHEP 06 (2011) 017 [arXiv:1103.4581] [INSPIRE].
40. S. Prem Kumar, Spinning avour branes and fermion pairing instabilities, Phys. Rev. D 84 (2011) 026003 [arXiv:1104.1405] [INSPIRE].
41. S. Janiszewski and A. Karch, Moving defects in AdS/CFT, JHEP 11 (2011) 044 [arXiv:1106.4010] [INSPIRE].
42. C. Hoyos, T. Nishioka and A. O'Bannon, A chiral magnetic effect from AdS/CFT with avor, JHEP 10 (2011) 084 [arXiv:1106.4030] [INSPIRE].
43. U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Improved holographic Yang-Mills at finite temperature: comparison with data, Nucl. Phys. B 820 (2009) 148 [arXiv:0903.2859] [INSPIRE].
44. U. Gürsoy, E. Kiritsis, L. Mazzanti and F. Nitti, Langevin diffusion of heavy quarks in non-conformal holographic backgrounds, JHEP 12 (2010) 088 [arXiv:1006.3261] [INSPIRE].
45. J. Russo and P. Townsend, Accelerating branes and brane temperature, Class. Quant. Grav. 25 (2008) 175017 [arXiv:0805.3488] [INSPIRE].
46. M. Chernicofi and A. Guijosa, Acceleration, energy loss and screening in strongly-coupled gauge theories, JHEP 06 (2008) 005 [arXiv:0803.3070] [INSPIRE].
47. A. Paredes, K. Peeters and M. Zamaklar, Temperature versus acceleration: the Unruh effect for holographic models, JHEP 04 (2009) 015 [arXiv:0812.0981] [INSPIRE].
48. C. Athanasiou, P.M. Chesler, H. Liu, D. Nickel and K. Rajagopal, Synchrotron radiation in strongly coupled conformal field theories, Phys. Rev. D 81 (2010) 126001 [Erratum ibid. D 84 (2011) 069901] [arXiv:1001.3880] [INSPIRE].
49. E. Caceres, M. Chernicofi, A. Guijosa and J.F. Pedraza, Quantum uctuations and the Unruh effect in strongly-coupled conformal field theories, JHEP 06 (2010) 078 [arXiv:1003.5332] [INSPIRE].
50. T. Hirata, S. Mukohyama and T. Takayanagi, Decaying D-branes and moving mirrors, JHEP 05 (2008) 089 [arXiv:0804.1176] [INSPIRE].
51. T. Hirayama, P.-W. Kao, S. Kawamoto and F.-L. Lin, Unruh effect and holography, Nucl. Phys. B 844 (2011) 1 [arXiv:1001.1289] [INSPIRE].
52. A. O'Bannon, Toward a holographic model of superconducting fermions, JHEP 01 (2009) 074 [arXiv:0811.0198] [INSPIRE].
53. N. Evans and E. Threlfall, R-charge chemical potential in the M2-M5 system, arXiv:0807.3679 [INSPIRE].
54. N. Evans and E. Threlfall, Chemical potential in the gravity dual of a 2 + 1 dimensional system, Phys. Rev. D 79 (2009) 066008 [arXiv:0812.3273] [INSPIRE].
55. N. Iqbal, H. Liu, M. Mezei and Q. Si, Quantum phase transitions in holographic models of magnetism and superconductors, Phys. Rev. D 82 (2010) 045002 [arXiv:1003.0010] [INSPIRE].
56. S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977] [INSPIRE].
57. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Holographic superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563] [INSPIRE].
58. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a holographic superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [INSPIRE].
59. P. Basu, A. Mukherjee and H.-H. Shieh, Supercurrent: vector hair for an AdS black hole, Phys. Rev. D 79 (2009) 045010 [arXiv:0809.4494] [INSPIRE].
60. C. Herzog, P. Kovtun and D. Son, Holographic model of superuidity, Phys. Rev. D 79 (2009) 066002 [arXiv:0809.4870] [INSPIRE].
61. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
62. D. Arean, P. Basu and C. Krishnan, The many phases of holographic superuids, JHEP 10 (2010) 006 [arXiv:1006.5165] [INSPIRE].
63. C.P. Herzog, Lectures on holographic superuidity and superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [INSPIRE].
64. T. Faulkner, N. Iqbal, H. Liu, J. McGreevy and D. Vegh, Holographic non-Fermi liquid fixed points, arXiv:1101.0597 [INSPIRE].
65. S. Bhattacharyya, V.E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear uid dynamics from gravity, JHEP 02 (2008) 045 [arXiv:0712.2456] [INSPIRE].
66. S. Bhattacharyya et al., Forced uid dynamics from gravity, JHEP 02 (2009) 018 [arXiv:0806.0006] [INSPIRE].
67. G.T. Horowitz and V.E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium, Phys. Rev. D 62 (2000) 024027 [hep-th/9909056] [INSPIRE].
68. G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [INSPIRE].
69. G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics. 2: Sound waves, JHEP 12 (2002) 054 [hep-th/0210220] [INSPIRE].
70. K. Maeda, M. Natsuume and T. Okamura, Universality class of holographic superconductors, Phys. Rev. D 79 (2009) 126004 [arXiv:0904.1914] [INSPIRE].
71. A.J. Bray, Theory of phase-ordering kinetics, Adv. Phys. 43 (1994) 357 [cond-mat/9501089] [INSPIRE].
72. K. Damle, S.N. Majumdar and S. Sachdev, Phase ordering kinetics of the Bose gas, Phys. Rev. A 54 (1996) 5037 [cond-mat/9511058] [INSPIRE].
73. K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159] [INSPIRE].
74. K. Jensen, More holographic Berezinskii-Kosterlitz-Thouless transitions, Phys. Rev. D 82 (2010) 046005 [arXiv:1006.3066] [INSPIRE].
75. N. Evans, K. Jensen and K.-Y. Kim, Non mean-field quantum critical points from holography, Phys. Rev. D 82 (2010) 105012 [arXiv:1008.1889] [INSPIRE].
76. S.S. Pal, Quantum phase transition in a Dp-Dq system, Phys. Rev. D 82 (2010) 086013 [arXiv:1006.2444] [INSPIRE].
77. K. Jensen, private communication.
78. G.M. Eliashberg, Film superconductivity stimulated by a high-frequency field, JETP Lett. 11 (1970) 114.
79. N. Bao, X. Dong, E. Silverstein and G. Torroba, Stimulated superconductivity at strong coupling, JHEP 10 (2011) 123 [arXiv:1104.4098] [INSPIRE].
80. R. Konoplya, Decay of charged scalar field around a black hole: quasinormal modes of R-N, R-N-AdS black hole, Phys. Rev. D 66 (2002) 084007 [gr-qc/0207028] [INSPIRE].
81. I. Amado, M. Kaminski and K. Landsteiner, Hydrodynamics of holographic superconductors, JHEP 05 (2009) 021 [arXiv:0903.2209] [INSPIRE].
82. O. Saremi, private communication.
83. K. Goldstein, S. Kachru, S. Prakash and S.P. Trivedi, Holography of charged dilaton black holes, JHEP 08 (2010) 078 [arXiv:0911.3586] [INSPIRE].
84. N. Iizuka, N. Kundu, P. Narayan and S.P. Trivedi, Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity, arXiv:1105.1162 [INSPIRE].
85. J. Garca-Bellido, M. Garcia Perez and A. Gonzalez-Arroyo, Symmetry breaking and false vacuum decay after hybrid ination, Phys. Rev. D 67 (2003) 103501 [hep-ph/0208228] [INSPIRE].