Journal article
UniqueNESS: graph theory approach to the uniqueness of non-equilibrium stationary states of the Lindblad master equation
- Abstract:
- The dimensionality of kernels for Lindbladian superoperators is of physical interest in various scenarios out of equilibrium, for example in mean-field methods for driven-dissipative spin lattice models that give rise to phase diagrams with a multitude of non-equilibrium stationary states in specific parameter regions. We show that known criteria established in the literature for unique fixpoints of the Lindblad master equation can be better treated in a graph-theoretic framework via a focus on the connectivity of directed graphs associated to the Hamiltonian and jump operators.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 687.0KB, Terms of use)
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- Publisher copy:
- 10.1088/1751-8121/ae5bd5
Authors
+ Agence Nationale de la Recherche
More from this funder
- Funder identifier:
- 10.13039/501100001665
- Grant:
- ANR-24-CPJ1-0150-01
- Publisher:
- IOP Publishing
- Journal:
- Journal of Physics A: Mathematical and Theoretical More from this journal
- Volume:
- 59
- Issue:
- 16
- Pages:
- 165203
- Article number:
- 165203
- Publication date:
- 2026-04-22
- Acceptance date:
- 2026-04-06
- DOI:
- EISSN:
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1751-8121
- ISSN:
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1751-8113
- Language:
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English
- Keywords:
- Pubs id:
-
2407293
- Local pid:
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pubs:2407293
- Source identifiers:
-
3974471
- Deposit date:
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2026-04-22
- ARK identifier:
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Terms of use
- Copyright date:
- 2026
- Licence:
- CC Attribution (CC BY)
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