Asymptotics of repeated interaction quantum systems
| dc.creator | Bruneau, Laurent | |
| dc.creator | Joye, Alain | |
| dc.creator | Merkli, Marco | |
| dc.date | 2005-11-07 | |
| dc.date.accessioned | 2026-07-07T06:50:28Z | |
| dc.date.available | 2026-07-07T06:50:28Z | |
| dc.description | A quantum system $\s$ interacts in a successive way with elements $\ee$ of a chain of identical independent quantum subsystems. Each interaction lasts for a duration $τ$ and is governed by a fixed coupling between $\s$ and $\ee$. We show that the system, initially in any state close to a reference state, approaches a {\it repeated interaction asymptotic state} in the limit of large times. This state is $τ$--periodic in time and does not depend on the initial state. If the reference state is chosen so that $\s$ and $\ee$ are individually in equilibrium at positive temperatures, then the repeated interaction asymptotic state satisfies an average second law of thermodynamics. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0511026 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0511026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104677 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82C10 | |
| dc.title | Asymptotics of repeated interaction quantum systems | |
| dc.type | text |