SciPost Submission Page
Out of equilibrium mean field dynamics in the transverse field Ising model
by Ingo Homrighausen, Stefan Kehrein
|As Contributors:||Ingo Homrighausen|
|Submitted by:||Homrighausen, Ingo|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
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.