The Uniqueness of Steady States of the Gorini-Kossakowski-Sudarshan-Lindblad Equation: A Simple Proof
ORAL
Abstract
The dynamics of Markovian open quantum systems are described by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. In the presence of dissipation, quantum systems relax to a steady state. In the language of the GKSL equation, the steady state is an eigenmode with zero eigenvalue. There always exists at least one steady state in a finite-dimensional system, but its uniqueness depends on the system.
In this talk, we discuss a simple proof of a sufficient condition for the uniqueness of the steady state and demonstrate its applications using examples of open quantum many-body systems.
In this talk, we discuss a simple proof of a sufficient condition for the uniqueness of the steady state and demonstrate its applications using examples of open quantum many-body systems.
*H.Y. was supported by JSPS KAKENHI Grant-in-Aid for JSPS fellows Grant No. JP22J20888, the Forefront Physics and Mathematics Program to Drive Transformation, and JSR Fellowship, the University of Tokyo.
–
Publication: Phys. Rev. A 109, 022218 (2024)
Presenters
-
Hironobu Yoshida
- Univ of Tokyo