Phase diagram and quench dynamics of the Cluster-XY spin chain

TL;DR

This paper explores the phase diagram and quench dynamics of the exactly solvable cluster-XY spin chain, revealing complex behaviors influenced by competing interactions and initial states.

Contribution

It provides a detailed analysis of the phase diagram using the quantum geometric tensor and investigates the non-trivial revival structures after quantum quenches.

Findings

Rich phase diagram due to competing cluster and XY interactions

Non-trivial revival patterns depend on initial phase and critical point

Quantum geometric tensor effectively characterizes phase transitions

Abstract

We study the complete phase space and the quench dynamics of an exactly solvable spin chain, the cluster-XY model. In this chain, the cluster term and the XY couplings compete to give a rich phase diagram. The phase diagram is studied by means of the quantum geometric tensor. We study the time evolution of the system after a critical quantum quench using the Loschmidt echo. The structure of the revivals after critical quantum quenches presents a non trivial behavior depending on the phase of the initial state and the critical point.