GAUSSIAN QUANTUM MARKOV SEMIGROUPS IN THE FOCK-ANTI-FOCK REPRESENTATION OF WEYL ALGEBRA
We construct Gaussian quantum Markov semigroups on the representation of the Weyl algebra in the tensor product of the Fock space and its conjugate Fock space by the minimal semigroup method. We prove the explicit formula for the action on Weyl operators and study some properties.
Authors
- Hyun Jae Yoo (ORCID: https://orcid.org/0000-0003-0683-2898)
- Dario Poletti (ORCID: https://orcid.org/0000-0001-5626-0176)
- Ameur Dhahri (ORCID: https://orcid.org/0000-0003-0580-7025)
- Franco Fagnola (ORCID: https://orcid.org/0000-0002-1661-0992)
Publication Details
- Journal
- Journal of Stochastic Analysis
- Published
- 2025-03-01
- DOI
- https://doi.org/10.31390/josa.6.1.09
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00