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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.06401 |
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| _version_ | 1866913346035384320 |
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| author | Gemsheim, Sebastian Rost, Jan M. |
| author_facet | Gemsheim, Sebastian Rost, Jan M. |
| contents | Thermodynamics and its quantum counterpart are traditionally described with statistical ensembles. Canonical typicality has related statistical mechanics for a system to ensembles of global energy eigen- states of system and its environment analyzing their cardinality. We show that the canonical density for a system emerges from a maximally entangled global state of system and environment through relational complex time evolution between system and environment without the need to maximize the entropy or to count states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06401 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Statistical mechanics from relational complex time with a pure state Gemsheim, Sebastian Rost, Jan M. Quantum Physics Thermodynamics and its quantum counterpart are traditionally described with statistical ensembles. Canonical typicality has related statistical mechanics for a system to ensembles of global energy eigen- states of system and its environment analyzing their cardinality. We show that the canonical density for a system emerges from a maximally entangled global state of system and environment through relational complex time evolution between system and environment without the need to maximize the entropy or to count states. |
| title | Statistical mechanics from relational complex time with a pure state |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.06401 |