Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915203454599168 |
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| author | Zatsarynna, Kateryna Nava, Andrea Egger, Reinhold Zazunov, Alex |
| author_facet | Zatsarynna, Kateryna Nava, Andrea Egger, Reinhold Zazunov, Alex |
| contents | We develop a Green's function approach for the nonequilibrium dynamics of multi-level quantum dots coupled to multiple fermionic reservoirs in the presence of a bosonic environment. Our theory is simpler than the Keldysh approach and goes beyond scattering state constructions. In concrete terms, we study Josephson junctions containing a quantum dot and coupled to an electromagnetic environment. In the dot region, spin-orbit interactions, a Zeeman field, and in principle also Coulomb interactions can be included. We then study quantum Mpemba effects, assuming that the average phase difference across the Josephson junction is subject to a rapid quench. For a short singlechannel junction, we show that both types of quantum Mpemba effects allowed in open quantum systems are possible. We also study an intermediate-length junction, where spin-orbit interactions and a Zeeman field are included. Again quantum Mpemba effects are predicted. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11609 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects Zatsarynna, Kateryna Nava, Andrea Egger, Reinhold Zazunov, Alex Mesoscale and Nanoscale Physics Statistical Mechanics We develop a Green's function approach for the nonequilibrium dynamics of multi-level quantum dots coupled to multiple fermionic reservoirs in the presence of a bosonic environment. Our theory is simpler than the Keldysh approach and goes beyond scattering state constructions. In concrete terms, we study Josephson junctions containing a quantum dot and coupled to an electromagnetic environment. In the dot region, spin-orbit interactions, a Zeeman field, and in principle also Coulomb interactions can be included. We then study quantum Mpemba effects, assuming that the average phase difference across the Josephson junction is subject to a rapid quench. For a short singlechannel junction, we show that both types of quantum Mpemba effects allowed in open quantum systems are possible. We also study an intermediate-length junction, where spin-orbit interactions and a Zeeman field are included. Again quantum Mpemba effects are predicted. |
| title | Green's Function Approach to Josephson Dot Dynamics and Application to Quantum Mpemba Effects |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2501.11609 |