Holographic thermalization from non relativistic branes

TL;DR

This paper investigates holographic thermalization in non-relativistic quantum field theories using gauge/gravity duality, revealing faster initial entanglement growth and a linear growth phase with saturation behavior influenced by parameter constraints.

Contribution

It introduces a holographic model for non-relativistic thermalization and analyzes entanglement entropy dynamics, highlighting differences from relativistic cases and conditions for discontinuous saturation transitions.

Findings

Faster entanglement growth during pre-local stages compared to relativistic theories.

Linear entanglement growth during post-local stages with saturation of tsunami velocity.

Parameter constraints lead to discontinuous transitions at saturation.

Abstract

In this paper, based on the fundamental principles of Gauge/gravity duality and considering a \textit{global quench}, we probe the physics of thermalization for a special class of strongly coupled non relativistic QFTs by computing the entanglement entropy of the plasma. The isometry group of such QFTs is comprised of the generators of the Schr\"odinger algebra which could be precisely realized as an isometry group of the killing generators of an asymptotically Schr\"odinger $ Dp $ brane space time. In our analysis, we note that during the pre local stages of the thermal equilibrium the entanglement entropy has a faster growth in time compared to its relativistic cousin. However, it shows a linear growth during the post local stages of thermal equilibrium where the so called tsunami velocity associated with the linear growth of the entanglement entropy saturates to that of its value corresponding to the relativistic scenario. Finally, we explore the saturation region and it turns out that one must constraint certain parameters of the theory in a specific way in order to have a discontinuous transitions at the point of saturation.