Determining stationary-state quantum properties directly from system-environment interactions

Abstract

Considering stationary states of continuous-variable systems undergoing an open dynamics, we unveil the connection between properties and symmetries of the latter and the dynamical parameters. In particular, we explore the relation between the Lyapunov equation for dynamical systems and the steady-state solutions of a time-independent Lindblad master equation for bosonic modes. Exploiting bona-fide relations that characterize some genuine quantum properties (entanglement, classicality, and steerability), we obtain conditions on the dynamical parameters for which the system is driven to a steady-state possessing such properties. We also develop a method to capture the symmetries of a steady state based on symmetries of the Lyapunov equation. All the results and examples can be useful for steady-state engineering process.

12 pages, 2 figures

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Cited by in corpus (18)

• Reconciliation of quantum local master equations with thermodynamics
• Symmetry-protected coherent relaxation of open quantum systems
• Symmetry and block structure of the Liouvillian superoperator in partial secular approximation
• Topology by Dissipation: Transport properties
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Driven quantum harmonic oscillators: A working medium for thermal machines
• Stabilizing entanglement in two-mode Gaussian states
• Linear response theory for quantum Gaussian processes
• A classification of open Gaussian dynamics
• Gaussian ancillary bombardment
• Thermal equilibrium in Gaussian dynamical semigroups
• Weyl-Wigner Representation of Canonical Equilibrium States
• A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
• Effective quantum dynamics induced by a driven two-level-system bath
• Interpolated Collision Model Formalism
• Fluctuation and dissipation in memoryless open quantum evolutions
• Inducing nontrivial qubit coherence through a controlled dispersive environment
• Spectral stabilizability