Effective quantum dynamics induced by a driven two-level-system bath

TL;DR

This paper derives a comprehensive master equation for a bosonic system coupled to a driven TLS bath, revealing exotic steady states and phenomena like squeezing and instability, relevant for quantum technology applications.

Contribution

It provides an analytical derivation of the master equation rates for a driven TLS bath and explores its implications for quantum decoherence and non-thermal steady states.

Findings

Identification of non-thermal steady states with exotic properties

Demonstration of dissipative amplification and squeezing effects

Master equation valid for strong TLS driving

Abstract

We derive a Born-Markov master equation describing the dissipation induced by a bath of lossy but coherently driven two-level systems (TLS) coupled to a bosonic system via Jaynes-Cummings interaction. We analytically derive all the master equation rates. We characterize these rates for the particular case of a single-mode system coupled to identical TLS. We study the steady state of the system and its exotic properties stemming from the non-thermal stationary state of the driven TLS bath. These properties include dissipative amplification, bath-induced linear instability, and both coherent and dissipative squeezing. The master equation is valid for arbitrarily strong TLS driving, and it can be generalized to include multi-level systems or other system-bath interaction terms, among others. Our work provides a tool to study and characterize TLS-induced decoherence, a key limiting factor in quantum technological devices based on, for instance, superconducting circuits, magnonic systems, or quantum acoustics.