We discuss some recent results on quantum Markov semigroups whose GKLS (Gorini-Kossakowski-Lindblad-Sudharshan) generator is given formally by expressions quadratic in bosonic creation and annihilation operators.We present the construction and the characteristic property of quantum Gaussian state preservation. We give results on existence and uniqueness of invariant densities and the longtime behaviour. We also discuss irreducibility and the structure of the so-called decoherence-free subalgebra. Our motivation is twofold. First we wish to develop tools for investigating the dynamics of open quantum systems of bosons. Second we would like to describe the structure and mathematical properties of Gaussian quantum Markov semigroups.
Boson Quadratic GKLS Generators
Fagnola F.
2023-01-01
Abstract
We discuss some recent results on quantum Markov semigroups whose GKLS (Gorini-Kossakowski-Lindblad-Sudharshan) generator is given formally by expressions quadratic in bosonic creation and annihilation operators.We present the construction and the characteristic property of quantum Gaussian state preservation. We give results on existence and uniqueness of invariant densities and the longtime behaviour. We also discuss irreducibility and the structure of the so-called decoherence-free subalgebra. Our motivation is twofold. First we wish to develop tools for investigating the dynamics of open quantum systems of bosons. Second we would like to describe the structure and mathematical properties of Gaussian quantum Markov semigroups.| File | Dimensione | Formato | |
|---|---|---|---|
|
authorsample_ff_revised.pdf
Accesso riservato
Descrizione: Paper
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
243.02 kB
Formato
Adobe PDF
|
243.02 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
