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From integrability to chaos in quantum Liouvillians

by Álvaro Rubio-García, Rafael A. Molina, Jorge Dukelsky

Submission summary

As Contributors: Rafael Molina · Alvaro Rubio-García
Arxiv Link: (pdf)
Date submitted: 2021-03-03 11:59
Submitted by: Rubio-García, Alvaro
Submitted to: SciPost Physics
Academic field: Physics
  • Dynamical Systems
  • Condensed Matter Physics - Experiment
  • Condensed Matter Physics - Theory
  • Quantum Physics
  • Statistical and Soft Matter Physics
Approaches: Theoretical, Computational


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.

Current status:
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Submission & Refereeing History

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Submission 2102.13452v1 on 3 March 2021

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