Thermal / Equilibrium Corridor: Stationary Slots, Detailed-Balance Constraints, and Monotone Descent
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2026
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| _version_ | 1866901068844105728 |
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| author | Searcy, Kenneth |
| author_facet | Searcy, Kenneth |
| contents | <p>Equilibrium is a forced compression slot, not a bath assumption.</p> <p>This paper derives an equilibrium corridor for coarse-grained open dynamics from the CPTP slot plus (i) a stationary-state slot and (ii) an exact detailed-balance symmetry at the effective tier. It yields a quadratic Lyapunov-type monotone toward equilibrium and shows that mixing to a unique stationary slot pressures memory collapse: long-horizon distinguishability (and witness growth) saturates, making effective Markov descriptions admissible in relaxing regimes.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18778122 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Thermal / Equilibrium Corridor: Stationary Slots, Detailed-Balance Constraints, and Monotone Descent Searcy, Kenneth Quantum physics Quantum field theory Physics Mathematical physics Theoretical physics equilibrium CPTP Lyapunov Lindblad-class Markov <p>Equilibrium is a forced compression slot, not a bath assumption.</p> <p>This paper derives an equilibrium corridor for coarse-grained open dynamics from the CPTP slot plus (i) a stationary-state slot and (ii) an exact detailed-balance symmetry at the effective tier. It yields a quadratic Lyapunov-type monotone toward equilibrium and shows that mixing to a unique stationary slot pressures memory collapse: long-horizon distinguishability (and witness growth) saturates, making effective Markov descriptions admissible in relaxing regimes.</p> |
| title | Thermal / Equilibrium Corridor: Stationary Slots, Detailed-Balance Constraints, and Monotone Descent |
| topic | Quantum physics Quantum field theory Physics Mathematical physics Theoretical physics equilibrium CPTP Lyapunov Lindblad-class Markov |
| url | https://doi.org/10.5281/zenodo.18778122 |