Holographic thermalization with Lifshitz scaling and hyperscaling violation

Abstract

A Vaidya type geometry describing gravitation collapse in asymptotically Lifshitz spacetime with hyperscaling violation provides a simple holographic model for thermalization near a quantum critical point with non-trivial dynamic and hyperscaling violation exponents. The allowed parameter regions are constrained by requiring that the matter energy momentum tensor satisfies the null energy condition. We present a combination of analytic and numerical results on the time evolution of holographic entanglement entropy in such backgrounds for different shaped boundary regions and study various scaling regimes, generalizing previous work by Liu and Suh.

Weak field collapse in AdS: introducing a charge density

“…In order to compare the results for various values of χ we subtract the entropy of the initial state ∆S(t) = S(t) − S(−∞), and focus on the entanglement growth over time. 18 We note some general properties of the behavior of ∆S(t) as we change the value of χ. Qualitatively, our results agree with those of [54,55] (see also [56][57][58]) obtained in the context of Vaidya geometries. At early times, i.e.…”

Holographic entanglement entropy in time dependent Gauss-Bonnet gravity

“…Also, thermalization in hyperscaling violating backgrounds was investigated in [46,47] and higher derivative corrections in [48,49]. Thus, extending the present work to hyperscaling violating geometries seems a viable and interesting endeavor.…”

Entanglement in Lifshitz-type quantum field theories

“…This constructs the very most literature of quantum entanglement in the context of QFTs. Although there have been some attempts so far to analyse the entanglement structure in the non-relativistic cases with z = 1 (see [15][16][17] on the QFT side and [18][19][20][21][22][23] in the context of gauge/gravity duality 1 ), still there are several open questions about the role of z in the entanglement structure of such theories.…”