Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models

TL;DR

This paper demonstrates that quantum Fisher information universally signals criticality at exceptional points in non-Hermitian Jaynes-Cummings models, revealing simultaneous Landau-class and topological-class transitions.

Contribution

It uncovers super universal behavior of quantum Fisher information across models and parameters, and shows the coexistence of Landau and topological phase transitions in non-Hermitian systems.

Findings

Quantum Fisher information peaks at exceptional points.

Simultaneous Landau and topological transitions occur.

Super universality of Fisher information across models.

Abstract

Light-matter interactions provide an ideal testground for interplay of critical phenomena, topological transitions, quantum metrology and non-Hermitian physics. We consider two fundamental non-Hermitian Jaynes-Cummings models which possess real energy spectra in parity-time (PT) symmetry and anti-PT symmetry. We show that the quantum Fisher information is critical around the transitions at the exceptional points and exhibits a super universality with respect to different parameters, all energy levels, both models, symmetric phases and symmetry-broken phases. The transitions are found to be both symmetry-breaking Landau-class transitions (LCTs) and symmetry-protected topological-class of transitions (TCTs), thus realizing a simultaneous occurrence of critical LCTs and TCTs which are conventionally incompatible due to contrary symmetry requirements.