Dynamical quantum phase transitions from quantum optics perspective

TL;DR

This paper explores the connection between dynamical quantum phase transitions and quantum optics phenomena, showing how Loschmidt rate singularities relate to Rabi oscillations and quantum scars, with implications for many-body systems.

Contribution

It establishes a novel analogy between dynamical quantum phase transitions and Rabi oscillations, providing a new perspective on quantum scars and many-body dynamics.

Findings

Loschmidt rate singularities resemble Rabi oscillations.

Mapping of transverse Ising chain dynamics to simple Rabi-like behavior.

Proposed link between Loschmidt echo singularities and quantum scars.

Abstract

It is shown that dynamical quantum phase transitions observed as singularities in the Loschmidt rate singularities bear close resemblance to standard Rabi oscillations known from dynamics of two-level systems. For some many-body systems this analogy may go even further and the behaviour observed for e.g. transverse Ising chain can be directly mapped to such simple dynamics. It is explained why A simple link between Loschmidt echo singularities and quantum scars is suggested.