The dynamics of open quantum systems can be described by a Liouvillian, which in the Markovian approximation fulfills the Lindblad master equation. We present a family of integrable many-body Liouvillians based on Richardson-Gaudin models with a complex structure of the jump operators. Making use of this new region of integrability, we study the transition to chaos in terms of a two-parameter Liouvillian. The transition is characterized by the spectral statistics of the complex eigenvalues of the Liouvillian operators using the nearest neighbor spacing distribution and by the ratios between eigenvalue distances.
Cited by 2
Ghosh et al., Spectral properties of disordered interacting non-Hermitian systems
Phys. Rev. B 106, 134202 (2022) [Crossref]
Akemann et al., Spacing distribution in the two-dimensional Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at noninteger
Phys. Rev. E 106, 014146 (2022) [Crossref]
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- Consejo Superior de Investigaciones Científicas / Spanish National Research Council [CSIC]
- Ministerio de Economía y Competitividad (MINECO) (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])
- Ministerio de Educación y Cultura - Spain (MEC) (through Organization: Ministerio de Educación y Cultura - España / Ministry of Education and Culture - Spain [MEC Spain])