Thermalization and entanglement following a non-relativistic holographic quench

Oct, 2011
30 pages
Published in:
  • Phys.Rev.D 85 (2012) 026005
e-Print:
Report number:
  • HIP-2011-27-TH,
  • NORDITA-2011-90,
  • RH-15-2011,
  • UUITP-28-11

Citations per year

20112014201720202022051015
Abstract: (arXiv)
We develop a holographic model for thermalization following a quench near a quantum critical point with non-trivial dynamical critical exponent. The anti-de Sitter Vaidya null collapse geometry is generalized to asymptotically Lifshitz spacetime. Non-local observables such as two-point functions and entanglement entropy in this background then provide information about the length and time scales relevant to thermalization. The propagation of thermalization exhibits similar 'horizon' behavior as has been seen previously in the conformal case and we give a heuristic argument for why it also appears here. Finally, analytic upper bounds are obtained for the thermalization rates of the non-local observables.
Note:
  • 33 pages, 11 figures. v2: minor typos corrected, references added, a new section added in the appendix, published version
  • 11.25.Tq
  • entropy: entanglement
  • space-time: Lifshitz
  • space-time: Vaidya
  • critical phenomena
  • holography
  • quenching
  • nonlocal
  • two-point function
  • nonrelativistic