Liouville coherent states

Abstract

For a certain class of open quantum systems there exists a dynamical symmetry which connects different time-evolved density matrices. We show how to use this symmetry for dynamics in the Liouville space with time-dependent parameters. This allows us to introduce a concept of generalized coherent states (e.g. density matrices) in the Liouville space. Dynamics of this class of density matrices is characterized by robustness with respect to any time-dependent perturbations of the couplings. We study their dynamical context while focusing on common physical situations corresponding to compact and non-compact symmetries.

6 pages, 3 figures, accepted to EPL

References in corpus (3)

• Dynamics of Loschmidt echoes and fidelity decay
• Markovian Master Equations: A Critical Study
• Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach

Cited by in corpus (5)

• Symmetry-protected coherent relaxation of open quantum systems
• Dynamical symmetry approach and topological field theory for path integrals of quantum spin systems
• Algebraic solution of the Lindblad equation for a collection of multilevel systems coupled to independent environments
• Lie-algebraic approach to one-dimensional translationally invariant free-fermionic dissipative systems
• Noisy quantum phase transitions: an intuitive approach