Quantum dynamical semigroups generated by noncommutative unbounded elliptic operators
C. Bahn, C. K. Ko, Y. M. Park
Abstract
We study quantum dynamical semigroups generated by noncommutative unbounded elliptic operators which can be written as Lindblad type unbounded generators. Under appropriate conditions, we first construct the minimal quantum dynamical semigroups for the generators and then use Chebotarev and Fagnola's sufficient conditions for conservativity to show that the semigroups are conservative.
Create a lesson
Related papers
A local Yang-Baxter obstruction for the hard-square model
Gabriel Ortega, Eliecer Peña-Ancavil
Concavity of Normalized Generalized Brézin--Gross--Witten Correlators and Its Applications
Chenglang Yang, Xuhui Zhang
Large particle number asymptotics for point-interacting bosons in the plane
Rupert L. Frank, Robert Seiringer
A Counterexample to the Weak Gibbs and Regularity Conjectures
Marius Wesle
Spectral properties of twisted soft waveguides
Pavel Exner, David Spitzkopf
Fluctuating Hydrodynamics of Quantum Fluids from the Nonlinear Fokker-Planck Equation
Mingjian Gu, Zhaoyu Fei, Xiaoguang Wang