Quantum quenches of holographic plasmas

Journal of High Energy Physics

Volumn 2013, Issue 5, 2013, Pages

  Buchel, Alex ^a,b   Lehner, Luis ^a   Myers, Robert C ^a   Van Niekerk, Anton ^a,c  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

^c UNIVERSITY OF WATERLOO   (Canada)

Author keywords

AdS CFT Correspondence; Gauge gravity correspondence; Holography and quark gluon plasmas; Quantum Dissipative Systems

Indexed keywords

EID: 84878897467     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2013)067     Document Type: Article

References (79)

1. S. Mondal, D. Sen and K. Sengupta, Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer, Quantum Quenching, Anealing and Computation, Lect. Notes Phys. 802 (2010) 21 [ 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. A. Lamacraft and J. Moore, Potential insights into non-equilibrium behavior from atomic physics, chapter forthcoming in Ultracold Bosonic and Fermionic Gases, A. Fletcher, K. Levin and D. Stamper-Kurn eds., Contemporary Concepts in Condensed Matter Science, Elsevier, The Netherlands (2012) [ arXiv:1106.3567 ].
5. L.D. Landau and E.M. Lifshitz, Quantum mechanics, Course of Theoretical Physics, Volume 3, (1989).
6. P. Calabrese and J.L. Cardy, Evolution of entanglement entropy in one-dimensional systems, J. Stat. Mech. 04 (2005) P04010 [ cond-mat/0503393 ] [ INSPIRE ].
7. 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 ].
8. P. Calabrese and J. Cardy, Quantum quenches in extended systems, J. Stat. Mech. 06 (2007) P06008 [ arXiv:0704.1880 ] [ INSPIRE ].
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. S. Sotiriadis and J. Cardy, Inhomogeneous quantum quenches, J. Stat. Mech. 11 (2008) P11003 [ arXiv:0808.0116 ].
11. S. Sotiriadis, P. Calabrese and J. Cardy, Quantum quench from a thermal initial state, EPL 87 (2009) 20002 [ arXiv:0903.0895 ].
12. M. Rigol, V. Dunjko, V. Yurovsky and M. Olshanii, Relaxation in a completely integrable many-body quantum system: an ab initio study of the dynamics of the highly excited states of lattice hard-core bosons, Phys. Rev. Lett. 98 (2006) 050405.
13. C. Kollath, A.M. Läuchli and E. Altman, Quench dynamics and nonequilibrium phase diagram of the Bose-Hubbard model, Phys. Rev. Lett. 98 (2007) 180601 [ cond-mat/0607235 ].
14. S.R. Manmana, S. Wessel, R.M. Noack and A. Muramatsu, Strongly correlated fermions after a quantum quench, Phys. Rev. Lett. 98 (2007) 210405 [ cond-mat/0612030 ].
15. L.-Y. Hung, M. Smolkin and E. Sorkin, Modification of late time phase structure by quantum quenches, Phys. Rev. Lett. 109 (2012) 155702 [ arXiv:1206.2685 ] [ INSPIRE ].
16. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [ hep-th/9711200 ] [ INSPIRE ].
17. 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 ].
18. 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 ].
19. P. Basu and S.R. Das, Quantum quench across a holographic critical point, JHEP 01 (2012) 103 [ arXiv:1109.3909 ] [ INSPIRE ].
20. S.R. Das, Holographic quantum quench, J. Phys. Conf. Ser. 343 (2012) 012027 [ arXiv:1111.7275 ] [ INSPIRE ].
21. P. Basu, D. Das, S.R. Das and T. Nishioka, Quantum quench across a zero temperature holographic superfluid transition, JHEP 03 (2013) 146 [ arXiv:1211.7076 ] [ INSPIRE ].
22. U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Spherically collapsing matter in AdS, holography and shellons, Nucl. Phys. B 563 (1999) 279 [ hep-th/9905227 ] [ INSPIRE ].
23. U.H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Black hole formation in AdS and thermalization on the boundary, JHEP 02 (2000) 039 [ hep-th/9912209 ] [ INSPIRE ].
24. S.B. Giddings and S.F. Ross, D3-brane shells to black branes on the Coulomb branch, Phys. Rev. D 61 (2000) 024036 [ hep-th/9907204 ] [ INSPIRE ].
25. S.B. Giddings and A. Nudelman, Gravitational collapse and its boundary description in AdS, JHEP 02 (2002) 003 [ hep-th/0112099 ] [ INSPIRE ].
26. S. Bhattacharyya and S. Minwalla, Weak field black hole formation in asymptotically AdS spacetimes, JHEP 09 (2009) 034 [ arXiv:0904.0464 ] [ INSPIRE ].
27. R.A. Janik and R.B. Peschanski, Gauge/gravity duality and thermalization of a boost-invariant perfect fluid, Phys. Rev. D 74 (2006) 046007 [ hep-th/0606149 ] [ INSPIRE ].
28. R.A. Janik, Viscous plasma evolution from gravity using AdS/CFT, Phys. Rev. Lett. 98 (2007) 022302 [ hep-th/0610144 ] [ INSPIRE ].
29. S. Lin and E. Shuryak, Toward the AdS/CFT gravity dual for high energy collisions. 3. Gravitationally collapsing shell and quasiequilibrium, Phys. Rev. D 78 (2008) 125018 [ arXiv:0808.0910 ] [ INSPIRE ].
30. J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic evolution of entanglement entropy, JHEP 11 (2010) 149 [ arXiv:1006.4090 ] [ INSPIRE ].
31. 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 ].
32. H. Ebrahim and M. Headrick, Instantaneous thermalization in holographic plasmas, arXiv:1010.5443 [ INSPIRE ].
33. V. Balasubramanian et al., Thermalization of strongly coupled field theories, Phys. Rev. Lett. 106 (2011) 191601 [ arXiv:1012.4753 ] [ INSPIRE ].
34. V. Balasubramanian et al., Holographic thermalization, Phys. Rev. D 84 (2011) 026010 [ arXiv:1103.2683 ] [ INSPIRE ].
35. V. Balasubramanian, A. Bernamonti, N. Copland, B. Craps and F. Galli, Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories, Phys. Rev. D 84 (2011) 105017 [ arXiv:1110.0488 ] [ INSPIRE ].
36. J. Aparicio and E. Lopez, Evolution of two-point functions from holography, JHEP 12 (2011) 082 [ arXiv:1109.3571 ] [ INSPIRE ].
37. A. Allais and E. Tonni, Holographic evolution of the mutual information, JHEP 01 (2012) 102 [ arXiv:1110.1607 ] [ INSPIRE ].
38. V. Keranen, E. Keski-Vakkuri and L. Thorlacius, Thermalization and entanglement following a non-relativistic holographic quench, Phys. Rev. D 85 (2012) 026005 [ arXiv:1110.5035 ] [ INSPIRE ].
39. D. Galante and M. Schvellinger, Thermalization with a chemical potential from AdS spaces, JHEP 07 (2012) 096 [ arXiv:1205.1548 ] [ INSPIRE ].
40. E. Caceres and A. Kundu, Holographic thermalization with chemical potential, JHEP 09 (2012) 055 [ arXiv:1205.2354 ] [ INSPIRE ].
41. I.Y. Arefeva and I. Volovich, On holographic thermalization and dethermalization of quark-gluon plasma, arXiv:1211.6041 [ INSPIRE ].
42. W. Baron, D. Galante and M. Schvellinger, Dynamics of holographic thermalization, JHEP 03 (2013) 070 [ arXiv:1212.5234 ] [ INSPIRE ].
43. 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 ].
44. P.M. Chesler and L.G. Yaffe, Boost invariant flow, 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 ].
45. 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 ].
46. D. Garfinkle, L.A. Pando Zayas and D. Reichmann, On field theory thermalization from gravitational collapse, JHEP 02 (2012) 119 [ arXiv:1110.5823 ] [ INSPIRE ].
47. 5 spacetimes with a generalized harmonic evolution scheme, Phys. Rev. D 85 (2012) 084038 [ arXiv:1201.2132 ] [ INSPIRE ].
48. M.P. Heller, D. Mateos, W. van der Schee and D. Trancanelli, Strong coupling isotropization of non-Abelian plasmas simplified, Phys. Rev. Lett. 108 (2012) 191601 [ arXiv:1202.0981 ] [ INSPIRE ].
49. M.P. Heller, R.A. Janik and P. Witaszczyk, A numerical relativity approach to the initial value problem in asymptotically anti-de Sitter spacetime for plasma thermalization - an ADM formulation, Phys. Rev. D 85 (2012) 126002 [ arXiv:1203.0755 ] [ INSPIRE ].
50. M. Bhaseen, J.P. Gauntlett, B. Simons, J. Sonner and T. Wiseman, Holographic superfluids and the dynamics of symmetry breaking, Phys. Rev. Lett. 110 (2013) 015301 [ arXiv:1207.4194 ] [ INSPIRE ].
51. B. Wu, On holographic thermalization and gravitational collapse of massless scalar fields, JHEP 10 (2012) 133 [ arXiv:1208.1393 ] [ INSPIRE ].
52. B. Wu, On holographic thermalization and gravitational collapse of tachyonic scalar fields, JHEP 04 (2013) 044 [ arXiv:1301.3796 ] [ INSPIRE ].
53. V. Cardoso et al., NR/HEP: roadmap for the future, Class. Quant. Grav. 29 (2012) 244001 [ arXiv:1201.5118 ] [ INSPIRE ].
54. A. Buchel, L. Lehner and R.C. Myers, Thermal quenches in N = 2â̂ - plasmas, JHEP 08 (2012) 049 [ arXiv:1206.6785 ] [ INSPIRE ].
55. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [ hep-th/9803131 ] [ INSPIRE ].
56. 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 ].
57. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [ hep-th/9802150 ] [ INSPIRE ].
58. P. Breitenlohner and D.Z. Freedman, Positive energy in anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982) 197 [ INSPIRE ].
59. P. Breitenlohner and D.Z. Freedman, Stability in gauged extended supergravity, Annals Phys. 144 (1982) 249 [ INSPIRE ].
60. L. Mezincescu and P. Townsend, Stability at a local maximum in higher dimensional anti-de Sitter space and applications to supergravity, Annals Phys. 160 (1985) 406 [ INSPIRE ].
61. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [ hep-th/9905104 ] [ INSPIRE ].
62. A. Buchel et al., Holographic GB gravity in arbitrary dimensions, JHEP 03 (2010) 111 [ arXiv:0911.4257 ] [ INSPIRE ].
63. S. Bhattacharyya, V.E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity, JHEP 02 (2008) 045 [ arXiv:0712.2456 ] [ INSPIRE ].
64. V.E. Hubeny, S. Minwalla and M. Rangamani, The fluid/gravity correspondence, chapter in Black holes in higher dimensions, G. Horowitz ed., Cambridge University Press, Cambridge U.K. (2012) [ arXiv:1107.5780 ] [ INSPIRE ].
65. R. Emparan, C.V. Johnson and R.C. Myers, Surface terms as counterterms in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 104001 [ hep-th/9903238 ] [ INSPIRE ].
66. M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 07 (1998) 023 [ hep-th/9806087 ] [ INSPIRE ].
67. M. Bianchi, D.Z. Freedman and K. Skenderis, Holographic renormalization, Nucl. Phys. B 631 (2002) 159 [ hep-th/0112119 ] [ INSPIRE ].
68. M. Bianchi, D.Z. Freedman and K. Skenderis, How to go with an RG flow, JHEP 08 (2001) 041 [ hep-th/0105276 ] [ INSPIRE ].
69. C. Fefferman and C.R. Graham, Conformal invariants, in Elie Cartan et les Mathématiques d'aujourd hui, Astérisque, France (1985), pg. 95.
70. C. Fefferman and C.R. Graham, The ambient metric, arXiv:0710.0919 [ INSPIRE ].
71. L.-Y. Hung, R.C. Myers and M. Smolkin, Some calculable contributions to holographic entanglement entropy, JHEP 08 (2011) 039 [ arXiv:1105.6055 ] [ INSPIRE ].
72. O. Aharony, A. Buchel and A. Yarom, Holographic renormalization of cascading gauge theories, Phys. Rev. D 72 (2005) 066003 [ hep-th/0506002 ] [ INSPIRE ].
73. I. Papadimitriou, Holographic renormalization of general dilaton-axion gravity, JHEP 08 (2011) 119 [ arXiv:1106.4826 ] [ INSPIRE ].
74. A. Buchel, N = 2â̂ - hydrodynamics, Nucl. Phys. B 708 (2005) 451 [ hep-th/0406200 ] [ INSPIRE ].
75. A. Buchel and J.T. Liu, Thermodynamics of the N = 2â̂ - flow, JHEP 11 (2003) 031 [ hep-th/0305064 ] [ INSPIRE ].
76. P.M. Hohler and M.A. Stephanov, Holography and the speed of sound at high temperatures, Phys. Rev. D 80 (2009) 066002 [ arXiv:0905.0900 ] [ INSPIRE ].
77. R. Isaacson, J. Welling and J. Winicour, Null cone computation of gravitational radiation, J. Math. Phys. 24 (1983) 1824 [ INSPIRE ].
78. L. Lehner, A dissipative algorithm for wave-like equations in the characteristic formulation, J. Comput. Phys. 149 (1999) 1 [ gr-qc/9811095 ] [ INSPIRE ].
79. A. Buchel, L. Lehner, R.C. Myers and A. van Niekerk, Universality of abrupt holographic quenches, in preparation.