SciPost Submission Page

Out of equilibrium mean field dynamics in the transverse field Ising model

by Ingo Homrighausen, Stefan Kehrein

Submission summary

As Contributors: Ingo Homrighausen
Arxiv Link: https://arxiv.org/abs/1908.02596v2
Date submitted: 2019-10-24
Submitted by: Homrighausen, Ingo
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

We investigate the quench dynamics of the transverse field Ising model on a finite fully connected lattice. Using a rate function approach we compute the leading order corrections to the mean field behavior analytically. Our focus is threefold: i)~We analyze the validity of the mean field approximation and observe that deviations can occur quickly even for large systems. ii)~We study the variance of the order parameter and identify four dynamically qualitative different regions. iii)~We derive the entanglement Hamiltonian for a bipartition of the lattice, which turns out to be a time-dependent harmonic oscillator.

Current status:
Editor-in-charge assigned


Submission & Refereeing History

Submission 1908.02596v2 on 24 October 2019

Login to report or comment