Decoherence is an echo of Anderson localization in open quantum systems
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929255504412672 |
|---|---|
| author | Klausen, Frederik Ravn Warzel, Simone |
| author_facet | Klausen, Frederik Ravn Warzel, Simone |
| contents | We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindblad generators, we establish a finite-volume-type criterion for the decay of the off-diagonal matrix elements in the position basis of the time-evolved or steady states. This criterion is shown to yield exponential decay for systems where the non-hermitian evolution is either gapped or strongly disordered. The gap exists for example whenever any level of local dephasing is present in the system. The result in the disordered case can be viewed as an extension of Anderson localization to open quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09880 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decoherence is an echo of Anderson localization in open quantum systems Klausen, Frederik Ravn Warzel, Simone Mathematical Physics Quantum Physics 81S22, 82C10 We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindblad generators, we establish a finite-volume-type criterion for the decay of the off-diagonal matrix elements in the position basis of the time-evolved or steady states. This criterion is shown to yield exponential decay for systems where the non-hermitian evolution is either gapped or strongly disordered. The gap exists for example whenever any level of local dephasing is present in the system. The result in the disordered case can be viewed as an extension of Anderson localization to open quantum systems. |
| title | Decoherence is an echo of Anderson localization in open quantum systems |
| topic | Mathematical Physics Quantum Physics 81S22, 82C10 |
| url | https://arxiv.org/abs/2310.09880 |