dorsal/arxiv
View SchemaQuantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes
| Authors | R. Bach, K. Burnett, M. B. d'Arcy, S. A. Gardiner |
|---|---|
| Categories | |
| ArXiv ID | physics/0310143 |
| URL | https://arxiv.org/abs/physics/0310143 |
| DOI | 10.1103/PhysRevA.71.033417 |
| Journal | Phys. Rev. A 71, 033417 (2005) |
Abstract
We formulate a general method for the study of semiclassical-like dynamics in stable regions of a mixed phase-space, in order to theoretically study the dynamics of quantum accelerator modes. In the simplest case, this involves determining solutions, which are stable when constrained to remain pure-state Gaussian wavepackets, and then propagating them using a cumulant-based formalism. Using this methodology, we study the relative longevity, under different parameter regimes, of quantum accelerator modes. Within this attractively simple formalism, we are able to obtain good qualitative agreement with exact wavefunction dynamics.
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"abstract": "We formulate a general method for the study of semiclassical-like dynamics in\nstable regions of a mixed phase-space, in order to theoretically study the\ndynamics of quantum accelerator modes. In the simplest case, this involves\ndetermining solutions, which are stable when constrained to remain pure-state\nGaussian wavepackets, and then propagating them using a cumulant-based\nformalism. Using this methodology, we study the relative longevity, under\ndifferent parameter regimes, of quantum accelerator modes. Within this\nattractively simple formalism, we are able to obtain good qualitative agreement\nwith exact wavefunction dynamics.",
"arxiv_id": "physics/0310143",
"authors": [
"R. Bach",
"K. Burnett",
"M. B. d\u0027Arcy",
"S. A. Gardiner"
],
"categories": [
"physics.atom-ph",
"nlin.CD",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevA.71.033417",
"journal_ref": "Phys. Rev. A 71, 033417 (2005)",
"title": "Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes",
"url": "https://arxiv.org/abs/physics/0310143"
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