Cover Image

Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Yoshida, Hironobu
Format:	Preprint
Published:	2023
Subjects:	Quantum Physics Statistical Mechanics Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Theory of Steady States for Lindblad Equations beyond Time-Independence: Classification, Uniqueness and Symmetry
by: Yoshida, Hironobu, et al.
Published: (2026)

The Gorini-Kossakowski-Sudarshan-Lindblad problem and the geometry of CP maps
by: Lammert, Paul E.
Published: (2025)

Nonstandard derivation of the Gorini-Kossakowski-Sudarshan-Lindblad master equation of a quantum dynamical semigroup from the Kraus representation
by: Kuramochi, Yui
Published: (2024)

UniqueNESS: Graph Theory Approach to the Uniqueness of Non-Equilibrium Stationary States of the Lindblad Master Equation
by: Seltmann, Martin, et al.
Published: (2025)

Nonequilibrium steady state in Lindblad dynamics for infinite quantum spin systems
by: Shimomura, Kenji, et al.
Published: (2025)

Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms
by: Kitahama, Shunta, et al.
Published: (2023)

Exact nonequilibrium steady states of boundary driven circuit with XYZ gates
by: Zhang, Xin, et al.
Published: (2026)

Bethe-ansatz diagonalization of steady state of boundary driven integrable spin chains
by: Popkov, Vladislav, et al.
Published: (2024)

The second law-type work relation in non-equilibrium steady states in one-dimensional quantum lattice systems
by: Yamaga, Kazuki
Published: (2018)

Exact steady states in the asymmetric simple exclusion process beyond one dimension
by: Ishiguro, Yuki, et al.
Published: (2024)

Dissipative free fermions in disguise
by: Fukai, Kohei, et al.
Published: (2026)

Quantum-Like Models of Cognition and Decision Making: Open-Systems and Gorini--Kossakowski--Sudarshan--Lindblad Dynamics
by: Asano, Masanari, et al.
Published: (2026)

Efficient and simple Gibbs state preparation of the 2D toric code via duality to classical Ising chains
by: Páez-Velasco, Pablo, et al.
Published: (2025)

A direct algebraic proof for the non-positivity of Liouvillian spectral values in Markovian quantum dynamics
by: Zhang, Yikang, et al.
Published: (2025)

Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system
by: Shiraishi, Naoto, et al.
Published: (2023)

Quantum ratchet with Lindblad rate equations
by: Castaños-Cervantes, Luis Octavio, et al.
Published: (2023)

Lindblad evolution as gradient flow
by: Kaplanek, Greg, et al.
Published: (2025)

Heat flows from hot to cold: A simple rigorous example of thermalization in an isolated macroscopic quantum system
by: Tasaki, Hal
Published: (2024)

Magic of quantum hypergraph states
by: Chen, Junjie, et al.
Published: (2023)

Typical thermalization of low-entanglement states
by: Bertoni, Christian, et al.
Published: (2024)

Error bounds on the universal Lindblad equation in the thermodynamic limit
by: Ikeuchi, Teruhiro, et al.
Published: (2025)

Periodic Motzkin chain: Ground states and symmetries
by: Pronko, Andrei G.
Published: (2025)

Optimal quantum algorithm for Gibbs state preparation
by: Rouzé, Cambyse, et al.
Published: (2024)

Macroscopicity and observational deficit in states, operations, and correlations
by: Nagasawa, Teruaki, et al.
Published: (2025)

Certified algorithms for equilibrium states of local quantum Hamiltonians
by: Fawzi, Hamza, et al.
Published: (2023)

Mixed state topological order: operator algebraic approach
by: Ogata, Yoshiko
Published: (2025)

Entanglement dynamics of many-body quantum states: sensitivity to system conditions and a hidden universality
by: Shekhar, Devanshu, et al.
Published: (2026)

Chemical potential and variable number of particles control the quantum state: Quantum oscillators as a showcase
by: Reible, Benedikt M., et al.
Published: (2025)

Accurate heat currents via reorganised master equation
by: Glatthard, Jonas, et al.
Published: (2024)

Random product states at high temperature equilibrate exponentially well
by: Huang, Yichen
Published: (2024)

Average mutual information for random fermionic Gaussian quantum states
by: Hackl, Lucas, et al.
Published: (2024)

Local quantum channels giving rise to quasi-local Gibbs states
by: Arad, Itai, et al.
Published: (2024)

Gibbs state postulate from dynamical stability -- Redundancy of the zeroth law
by: Blakaj, Vjosa, et al.
Published: (2025)

Long-range nonstabilizerness of topologically encoded states from mutual information
by: Korbany, David Aram, et al.
Published: (2026)

Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics
by: Capel, Ángela, et al.
Published: (2024)

Optimal form of time-local non-Lindblad master equations
by: Becker, Tobias, et al.
Published: (2023)

Affine relationships between steady currents
by: Khodabandehlou, Faezeh, et al.
Published: (2024)

Emergence of the Gibbs ensemble as a steady state in Lindbladian dynamics
by: Sun, Shi-Kang, et al.
Published: (2024)

Open quantum systems beyond equilibrium: Lindblad equation and path integral molecular dynamics
by: Reible, Benedikt M., et al.
Published: (2026)

Proposal of a quantum version of active particles via a nonunitary quantum walk
by: Yamagishi, Manami, et al.
Published: (2023)