dorsal/arxiv
View SchemaControl of Wave Packet Revivals Using Geometric Phases
| Authors | S. Seshadri, S. Lakshmibala, V. Balakrishnan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910101 |
| URL | https://arxiv.org/abs/quant-ph/9910101 |
| DOI | 10.1023/A:1026488815731 |
Abstract
Wave packets in a system governed by a Hamiltonian with a generic nonlinear spectrum typically exhibit both full and fractional revivals. It is shown that the latter can be eliminated by inducing suitable geometric phases in the states, by varying the parameters in the Hamiltonian cyclically with a period T. Further, with the introduction of this natural time step T, the occurrence of near revivals can be mapped onto that of Poincar\'{e} recurrences in an irrational rotation map of the circle. The distinctive recurrence time statistics of the latter can thus serve as a clear signature of the dynamics of wave packet revivals.
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"abstract": "Wave packets in a system governed by a Hamiltonian with a generic nonlinear\nspectrum typically exhibit both full and fractional revivals. It is shown that\nthe latter can be eliminated by inducing suitable geometric phases in the\nstates, by varying the parameters in the Hamiltonian cyclically with a period\nT. Further, with the introduction of this natural time step T, the occurrence\nof near revivals can be mapped onto that of Poincar\\\u0027{e} recurrences in an\nirrational rotation map of the circle. The distinctive recurrence time\nstatistics of the latter can thus serve as a clear signature of the dynamics of\nwave packet revivals.",
"arxiv_id": "quant-ph/9910101",
"authors": [
"S. Seshadri",
"S. Lakshmibala",
"V. Balakrishnan"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1023/A:1026488815731",
"title": "Control of Wave Packet Revivals Using Geometric Phases",
"url": "https://arxiv.org/abs/quant-ph/9910101"
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