Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909155184345088 |
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| author | Yoshida, Hironobu |
| author_facet | Yoshida, Hironobu |
| contents | We present a simple proof of a sufficient condition for the uniqueness of non-equilibrium steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations. We demonstrate the applications of the sufficient condition using examples of the transverse-field Ising model, the XYZ model, and the tight-binding model with dephasing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00335 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof Yoshida, Hironobu Quantum Physics Statistical Mechanics Mathematical Physics We present a simple proof of a sufficient condition for the uniqueness of non-equilibrium steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations. We demonstrate the applications of the sufficient condition using examples of the transverse-field Ising model, the XYZ model, and the tight-binding model with dephasing. |
| title | Uniqueness of steady states of Gorini-Kossakowski-Sudarshan-Lindblad equations: a simple proof |
| topic | Quantum Physics Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2309.00335 |