Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof
arXiv:2309.00335 · doi:10.1103/PhysRevA.109.022218
Abstract
We present a simple proof of a sufficient condition for the uniqueness of non-equilibrium steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations. We demonstrate the applications of the sufficient condition using examples of the transverse-field Ising model, the XYZ model, and the tight-binding model with dephasing.
5 pages
References in corpus (6)
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Analysis of quantum semigroups with GKS--Lindblad generators II. General
- Analysis of quantum semigroups with GKS-Lindblad generators I. Simple generators
- Stationary State Degeneracy of Open Quantum Systems with Non-Abelian Symmetries
- Asymptotics of quantum channels
Cited by in corpus (15)
- The quantum Mpemba effect in free-fermionic mixed states
- Many-Body Open Quantum Systems
- Symmetry enforced entanglement in maximally mixed states
- Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
- Criteria for Davies Irreducibility of Markovian Quantum Dynamics
- Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
- Highly entangled stationary states from strong symmetries
- Dilute measurement-induced cooling into many-body ground states
- Number of steady states of quantum evolutions
- Mixing Time of Open Quantum Systems via Hypocoercivity
- Bath Dynamical Decoupling with a Quantum Channel
- Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
- Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
- Transitions of the Lyapunov spectrum and entanglement entropy in monitored quantum dynamics with homogeneous unitary gates
- Non-normality and dissipation in Markovian quantum dynamics: Implications for quantum simulation