A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems
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| Format: | Preprint |
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2022
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| _version_ | 1866914955364663296 |
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| author | Jakšić, Vojkan Pillet, Claude-Alain Tauber, Clément |
| author_facet | Jakšić, Vojkan Pillet, Claude-Alain Tauber, Clément |
| contents | We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice $\mathbb Z^d$. This system is assumed to be initially in thermal equilibrium, and we consider realizations of quasi-static processes in the adiabatic limit. By combining the Gibbs variational principle with the notion of quantum weak Gibbs states introduced in [Jakšić, Pillet, Tauber, arXiv:2204.00440], we establish a number of general structural results regarding such realizations. In particular, we show that such a quasi-static process is incompatible with the property of approach to equilibrium studied in this previous work. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2204_02177 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems Jakšić, Vojkan Pillet, Claude-Alain Tauber, Clément Mathematical Physics Statistical Mechanics Quantum Physics We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice $\mathbb Z^d$. This system is assumed to be initially in thermal equilibrium, and we consider realizations of quasi-static processes in the adiabatic limit. By combining the Gibbs variational principle with the notion of quantum weak Gibbs states introduced in [Jakšić, Pillet, Tauber, arXiv:2204.00440], we establish a number of general structural results regarding such realizations. In particular, we show that such a quasi-static process is incompatible with the property of approach to equilibrium studied in this previous work. |
| title | A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems |
| topic | Mathematical Physics Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2204.02177 |