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Detecting Many-Body Scars from Fisher Zeros by Meng, Yuchen; Lv, Songtai; Liu, Yang; Tan, Zefan; Zhao, Erhai; Zou, Haiyuan is a scholarly article available to read on EtoBox.

What is Detecting Many-Body Scars from Fisher Zeros about?

The far-from-equilibrium dynamics of interacting quantum systems still defy precise understanding. One example is the so-called quantum many-body scars (QMBSs), where a set of energy eigenstates evade thermalization to give rise to long-lived oscillations. Despite the success of viewing scars from the perspectives of symmetry, commutant algebra and quasiparticles, it remains a challenge to elucidate the mechanism underlying all QMBS and to distinguish them from other forms of ergodicity breaking. In this work, we introduce an alternative route to detect and diagnose QMBS based on Fisher zeros, i.e. the patterns of zeros of the analytically continued partition function $Z$ on the complex $\beta$ (inverse temperature) plane. For systems with scars, a continuous line of Fisher zeros will appear off the imaginary $\beta$ axis and extend upward, separating the $\beta$ plane into regions with distinctive thermalization behaviors. This conjecture is motivated from interpreting the complex $Z$ as the survival amplitude of the thermofield double state, and it is validated by analyzing two models with QMBS, the $\bar{P}X\bar{P}$ model and the Ising chain in external fields. These models also

Author

Meng, Yuchen; Lv, Songtai; Liu, Yang; Tan, Zefan; Zhao, Erhai; Zou, Haiyuan

Published

2025

Language

EN