Vacuum induced Berry phases in single-mode Jaynes-Cummings models

TL;DR

This paper demonstrates that single-mode Jaynes-Cummings models can exhibit vacuum-induced Berry phases, which can be detected through a Ramsey interference experiment in cavity QED systems, highlighting a geometric quantum effect related to field quantization.

Contribution

It shows that vacuum-induced Berry phases occur in single-mode JCMs and proposes a feasible experimental detection method using cavity QED.

Findings

Vacuum-induced Berry phases exist in single-mode JCMs.

The phase can be detected via Ramsey interference in cavity QED.

The effect persists even when the field is in vacuum state.

Abstract

Motivated by the work [Phys. Rev. Lett. 89, 220404 (2002)] for detecting the vacuum-induced Berry phases with two-mode Jaynes-Cummings models (JCMs), we show here that, for a parameter-dependent single-mode JCM, certain atom-field states also acquire the photon-number-dependent Berry phases after the parameter slowly changed and eventually returned to its initial value. This geometric effect related to the field quantization still exists, even the filed is kept in its vacuum state. Specifically, a feasible Ramsey interference experiment with cavity quantum electrodynamics (QED) system is designed to detect the vacuum-induced Berry phase.