arXiv Open Access 2022

Trace distance ergodicity for quantum Markov semigroups

Lorenzo Bertini Alberto De Sole Gustavo Posta

Lihat Sumber

Abstrak

We discuss the quantitative ergodicity of quantum Markov semigroups in terms of the trace distance from the stationary state, providing a general criterion based on the spectral decomposition of the Lindblad generator. We then apply this criterion to the bosonic and fermionic Ornstein-Uhlenbeck semigroups and to a family of quantum Markov semigroups parametrized by semisimple Lie algebras and their irreducible representations, in which the Lindblad generator is given by the adjoint action of the Casimir element.

Topik & Kata Kunci

math-ph cond-mat.stat-mech math.RT

Penulis (3)

Lorenzo Bertini

Alberto De Sole

Gustavo Posta

Format Sitasi

APA MLA BibTeX

Bertini, L., Sole, A.D., Posta, G. (2022). Trace distance ergodicity for quantum Markov semigroups. https://arxiv.org/abs/2206.11923

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓