The quasi-dark state and quantum interference in Jaynes-Cummings model with a common bath

TL;DR

This paper explores how a common bath influences decay and quantum interference in a Jaynes-Cummings system, revealing conditions for quasi-dark states and asymmetric vacuum Rabi splitting.

Contribution

It introduces a model of atom-cavity interaction with a common bath, demonstrating the formation of quasi-dark states and decay rate manipulation without prior experimental constraints.

Findings

Existence of quasi-dark states with no decay in the absence of direct atom-cavity coupling.

Decay rates can be enhanced or suppressed due to interference effects.

Asymmetric vacuum Rabi splitting observed in transmission spectrum.

Abstract

Within the capacity of current experiments, we design a composite atom-cavity system with a common bath, in which the decay channels of the atom and the cavity mode interfere with each other. When the direct atom-cavity coupling is absent, the system can be trapped in a quasi-dark state (the coherent superposition of excited states for the atom and the cavity mode) without decay even in the presence of the bath. When the atom directly couples with the cavity, the largest decay rate of the composite system will surpass the sum of the two subsystems while the smallest decay rate may achieve 0. This is manifested in the transmission spectrum, where the vacuum Rabi splitting shows an obvious asymmetric character.