dorsal/arxiv
View SchemaThe delta-function-kicked rotor: Momentum diffusion and the quantum-classical boundary
| Authors | Tanmoy Bhattacharya, Salman Habib, Kurt Jacobs, Kosuke Shizume |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105086 |
| URL | https://arxiv.org/abs/quant-ph/0105086 |
| DOI | 10.1103/PhysRevA.65.032115 |
| Journal | Phys. Rev. A 65, 032115 (2002) |
Abstract
We investigate the quantum-classical transition in the delta-kicked rotor and the attainment of the classical limit in terms of measurement-induced state-localization. It is possible to study the transition by fixing the environmentally induced disturbance at a sufficiently small value, and examining the dynamics as the system is made more macroscopic. When the system action is relatively small, the dynamics is quantum mechanical and when the system action is sufficiently large there is a transition to classical behavior. The dynamics of the rotor in the region of transition, characterized by the late-time momentum diffusion coefficient, can be strikingly different from both the purely quantum and classical results. Remarkably, the early time diffusive behavior of the quantum system, even when different from its classical counterpart, is stabilized by the continuous measurement process. This shows that such measurements can succeed in extracting essentially quantum effects. The transition regime studied in this paper is accessible in ongoing experiments.
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"abstract": "We investigate the quantum-classical transition in the delta-kicked rotor and\nthe attainment of the classical limit in terms of measurement-induced\nstate-localization. It is possible to study the transition by fixing the\nenvironmentally induced disturbance at a sufficiently small value, and\nexamining the dynamics as the system is made more macroscopic. When the system\naction is relatively small, the dynamics is quantum mechanical and when the\nsystem action is sufficiently large there is a transition to classical\nbehavior. The dynamics of the rotor in the region of transition, characterized\nby the late-time momentum diffusion coefficient, can be strikingly different\nfrom both the purely quantum and classical results. Remarkably, the early time\ndiffusive behavior of the quantum system, even when different from its\nclassical counterpart, is stabilized by the continuous measurement process.\nThis shows that such measurements can succeed in extracting essentially quantum\neffects. The transition regime studied in this paper is accessible in ongoing\nexperiments.",
"arxiv_id": "quant-ph/0105086",
"authors": [
"Tanmoy Bhattacharya",
"Salman Habib",
"Kurt Jacobs",
"Kosuke Shizume"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.032115",
"journal_ref": "Phys. Rev. A 65, 032115 (2002)",
"title": "The delta-function-kicked rotor: Momentum diffusion and the quantum-classical boundary",
"url": "https://arxiv.org/abs/quant-ph/0105086"
},
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