dorsal/arxiv
View SchemaQuantum metastability in time-periodic potentials
| Authors | Chung-Chieh Lee, Choon-Lin Ho |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505010 |
| URL | https://arxiv.org/abs/quant-ph/0505010 |
| DOI | 10.1016/j.aop.2005.04.012 |
| Journal | Annals Phys. 320 (2005) 175-198 |
Abstract
In this paper we investigate quantum metastability of a particle trapped in between an infinite wall and a square barrier, with either a time-periodically oscillating barrier (Model A) or bottom of the well (Model B). Based on the Floquet theory, we derive in each case an equation which determines the stability of the metastable system. We study the influence on the stability of two Floquet states when their Floquet energies (real part) encounter a direct or an avoided crossing at resonance. The effect of the amplitude of oscillation on the nature of crossing of Floquet energies is also discussed. It is found that by adiabatically changing the frequency and amplitude of the oscillation field, one can manipulate the stability of states in the well. By means of a discrete transform, the two models are shown to have exactly the same Floquet energy spectrum at the same oscillating amplitude and frequency. The equivalence of the models is also demonstrated by means of the principle of gauge invariance.
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"abstract": "In this paper we investigate quantum metastability of a particle trapped in\nbetween an infinite wall and a square barrier, with either a time-periodically\noscillating barrier (Model A) or bottom of the well (Model B). Based on the\nFloquet theory, we derive in each case an equation which determines the\nstability of the metastable system. We study the influence on the stability of\ntwo Floquet states when their Floquet energies (real part) encounter a direct\nor an avoided crossing at resonance. The effect of the amplitude of oscillation\non the nature of crossing of Floquet energies is also discussed. It is found\nthat by adiabatically changing the frequency and amplitude of the oscillation\nfield, one can manipulate the stability of states in the well. By means of a\ndiscrete transform, the two models are shown to have exactly the same Floquet\nenergy spectrum at the same oscillating amplitude and frequency. The\nequivalence of the models is also demonstrated by means of the principle of\ngauge invariance.",
"arxiv_id": "quant-ph/0505010",
"authors": [
"Chung-Chieh Lee",
"Choon-Lin Ho"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"hep-th",
"math-ph",
"math.MP",
"physics.chem-ph"
],
"doi": "10.1016/j.aop.2005.04.012",
"journal_ref": "Annals Phys. 320 (2005) 175-198",
"title": "Quantum metastability in time-periodic potentials",
"url": "https://arxiv.org/abs/quant-ph/0505010"
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