The Intrinsic Connection between Dynamical Phase Transitions and Magnetization in the 1D XY Model

TL;DR

This paper explores how the initial magnetization strength affects the occurrence of dynamical quantum phase transitions in the 1D XY model during quench dynamics, revealing that stronger initial magnetization inhibits phase transitions.

Contribution

It uncovers the intrinsic link between initial magnetization and the emergence of dynamical quantum phase transitions, highlighting the directional effect of magnetization on spin flipping.

Findings

Stronger initial magnetization makes dynamical quantum phase transitions harder to observe.

Initial magnetization influences the properties of Fisher zeros and magnetization during quenches.

The mechanism involves magnetization providing a directional effect that inhibits spin flips.

Abstract

In this manuscript, we study the quench dynamics of a transverse-field XY model starting from coherent Gibbs states. The results reveal that the initial strength of magnetization plays a crucial role in the emergence of dynamical quantum phase transitions. In concrete terms, when quenching within the same phase, through the properties of observables such as Fisher zeros and magnetization, we show that the stronger the initial magnetization, the more difficult the emergence of dynamical quantum phase transitions. The underlying mechanism is that the strong initial magnetization provides a directional effect, which inhibits the spin flipping in the process of quantum quench, making the dynamical quantum phase transition difficult to emerge. Since dynamical quantum phase transitions can be experimentally realized in various artificial systems, we hope that the physics predicted here can be experimentally verified in tabletop platforms.