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QI: Fachverband Quanteninformation

QI 24: Open Quantum Systems I (joint session Q/QI)

QI 24.1: Hauptvortrag

Mittwoch, 12. März 2025, 14:30–15:00, HS I

Effective Lindblad master equations for atoms coupled to dissipative bosonic modes — •Simon Balthasar Jäger — Physikalisches Institut, University of Bonn, Nussallee 12, 53115 Bonn, Germany

We develop atom-only Lindblad master equations for the description of atoms that couple with and via dissipative bosonic modes. We employ a Schrieffer-Wolff transformation to decouple the bosonic from the atomic degrees of freedom in the parameter regime where the decay of the bosonic degrees is much faster than the typical relaxation time of the atoms. In this regime we derive the transformation which includes the most relevant retardation effects between the bosonic and the atomic degrees of freedom. After the application of this transformation, the effective Lindblad master equation is obtained by tracing over the bosonic degrees of freedom and captures the atomic interactions and dissipation mediated by the bosons. We use this approach to derive Lindblad master equations which can describe the phase transitions, steady states, and dynamics in the dissipative Dicke model. In addition, we show that such master equations can be used in presence of resonant periodic driving and predict the formation and stabilization of dissipative Dicke time crystals. We also discuss how to extend the theory to describe systems with continuous symmetries where descriptions with the Redfield master equation fail. Our work provides general methods for the efficient theoretical description of retarded boson-mediated interactions and dissipation.

Keywords: Open quantum systems; Cavity QED; Master equations; Adiabatic elimination; Interaction and dissipation engineering