Dynamical Quantum Phase Transitions from Quantum Optics Perspective

Abstract

In this work dedicated to Professor Iwo Białynicki-Birula on the occasion of his 90th birthday, I attempts to show that dynamical quantum phase transitions observed as singularities in the Loschmidt rate dynamics bear a close resemblance to the standard Rabi oscillations known from the dynamics of two-level systems. For some many-body systems, this analogy may go even further, and the behaviour observed for example transverse Ising chain can be directly mapped to such simple dynamics. A simple link between Loschmidt echo singularities and quantum scars is also suggested.