Bohm-Aharonov type effects in dissipative atomic systems
| dc.creator | Solomon, Allan I. | |
| dc.creator | Schirmer, Sonia G. | |
| dc.date | 2005-12-22 | |
| dc.date.accessioned | 2026-07-07T06:56:42Z | |
| dc.date.available | 2026-07-07T06:56:42Z | |
| dc.description | A state in quantum mechanics is defined as a positive operator of norm 1. For finite systems, this may be thought of as a positive matrix of trace 1. This constraint of positivity imposes severe restrictions on the allowed evolution of such a state. From the mathematical viewpoint, we describe the two forms of standard dynamical equations - global (Kraus) and local (Lindblad) - and show how each of these gives rise to a semi-group description of the evolution. We then look at specific examples from atomic systems, involving 3-level systems for simplicity, and show how these mathematical constraints give rise to non-intuitive physical phenomena, reminiscent of Bohm-Aharonov effects. In particular, we show that for a multi-level atomic system it is generally impossible to isolate the levels, and this leads to observable effects on the population relaxation and decoherence. | |
| dc.description | 9 pages, 4 references. Presented at the 23rd International Conference on Differential Geometric Methods in Theoretical Physics,August 20-26, Nankai Institute of Mathematics, Tianjin, China | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0512198 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0512198 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106739 | |
| dc.subject | Quantum Physics | |
| dc.title | Bohm-Aharonov type effects in dissipative atomic systems | |
| dc.type | text |