Partly invariant steady state of two interacting open quantum systems

Abstract

We investigate two interacting open quantum systems whose time evolutions are governed by Markovian master equations. We show a class of coupled systems whose interaction leaves invariant the steady state of one of the systems, i.e., only one of the reduced steady states is sensitive to the interactions. A detailed proof with the help of the Trotter product formula is presented. We apply this general statement to a few models, one of which is the optomechanical coupling model where an optical cavity is coupled to a small mechanical oscillator.

15 pages, 4 figures

References in corpus (6)

• Open-System Dynamics of Entanglement
• Microscopic derivation of the Jaynes-Cummings model with cavity losses
• Closed form solution of Lindblad master equations without gain
• Quantum coherence in ultrastrong optomechanics
• Quantum optical master equation for solid-state quantum emitters
• Relaxation Phenomena in a System of Two Harmonic Oscillators

Cited by in corpus (5)

• A quantum heat engine with coupled superconducting resonators
• Quantum Optical Two-Atom Thermal Diode
• Optomechanical damping basis
• Breakdown signatures of the phenomenological Lindblad master equation in the strong optomechanical coupling regime
• Dissipative engineering a tripartite Greenberger-Horne-Zeilinger state for neutral atoms