Decoherence and Quantum Walks: anomalous diffusion and ballistic tails
| dc.creator | Prokof'ev, Nikolay | |
| dc.creator | Stamp, Philip | |
| dc.date | 2006-05-03 | |
| dc.date.accessioned | 2026-07-07T07:35:52Z | |
| dc.date.available | 2026-07-07T07:35:52Z | |
| dc.description | The common perception is that strong coupling to the environment will always render the evolution of the system density matrix quasi-classical (in fact, diffusive) in the long time limit. We present here a counter-example, in which a particle makes quantum transitions between the sites of a d-dimensional hypercubic lattice whilst strongly coupled to a bath of two-level systems which 'record' the transitions. The long-time evolution of an initial wave packet is found to be most unusual: the mean square displacement of the particle density matrix shows long-range ballitic behaviour, but simultaneously a kind of weakly-localised behaviour near the origin. This result may have important implications for the design of quantum computing algorithms, since it describes a class of quantum walks. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0605097 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0605097 | |
| dc.identifier | Phys. Rev. A 74, 020102(R) (2006) (4 pages) | |
| dc.identifier | doi:10.1103/PhysRevA.74.020102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120236 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Decoherence and Quantum Walks: anomalous diffusion and ballistic tails | |
| dc.type | text |