Quantum quenches in the thermodynamic limit. II. Initial ground states

TL;DR

This paper adapts a numerical linked-cluster algorithm to study quantum quenches from ground states in the thermodynamic limit, focusing on spin correlations in integrable models and confirming the absence of thermalization.

Contribution

It extends the linked-cluster algorithm to ground states and compares numerical results with analytical predictions, highlighting non-thermalization in integrable systems.

Findings

Numerical results agree with quench action analytical calculations.

Correlations differ from thermal equilibrium, indicating lack of thermalization.

Algorithm effectively studies quenches from ground states in the thermodynamic limit.

Abstract

A numerical linked-cluster algorithm was recently introduced to study quantum quenches in the thermodynamic limit starting from thermal initial states [M. Rigol, Phys. Rev. Lett. 112, 170601 (2014)]. Here, we tailor that algorithm to quenches starting from ground states. In particular, we study quenches from the ground state of the antiferromagnetic Ising model to the XXZ chain. Our results for spin correlations are shown to be in excellent agreement with recent analytical calculations based on the quench action method. We also show that they are different from the correlations in thermal equilibrium, which confirms the expectation that thermalization does not occur in general in integrable models even if they cannot be mapped to noninteracting ones.