dorsal/arxiv
View SchemaChaotic Quantum Decay in Driven Biased Optical Lattices
| Authors | S. Mossmann, C. Schumann, H. J. Korsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506090 |
| URL | https://arxiv.org/abs/quant-ph/0506090 |
| DOI | 10.1209/epl/i2005-10289-5 |
| Journal | Europhysics Lett. 72 (2005) 499 |
Abstract
Quantum decay in an ac driven biased periodic potential modeling cold atoms in optical lattices is studied for a symmetry broken driving. For the case of fully chaotic classical dynamics the classical exponential decay is quantum mechanically suppressed for a driving frequency \omega in resonance with the Bloch frequency \omega_B, q\omega=r\omega_B with integers q and r. Asymptotically an algebraic decay ~t^{-\gamma} is observed. For r=1 the exponent \gamma agrees with $q$ as predicted by non-Hermitian random matrix theory for q decay channels. The time dependence of the survival probability can be well described by random matrix theory. The frequency dependence of the survival probability shows pronounced resonance peaks with sub-Fourier character.
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"abstract": "Quantum decay in an ac driven biased periodic potential modeling cold atoms\nin optical lattices is studied for a symmetry broken driving. For the case of\nfully chaotic classical dynamics the classical exponential decay is quantum\nmechanically suppressed for a driving frequency \\omega in resonance with the\nBloch frequency \\omega_B, q\\omega=r\\omega_B with integers q and r.\nAsymptotically an algebraic decay ~t^{-\\gamma} is observed. For r=1 the\nexponent \\gamma agrees with $q$ as predicted by non-Hermitian random matrix\ntheory for q decay channels. The time dependence of the survival probability\ncan be well described by random matrix theory. The frequency dependence of the\nsurvival probability shows pronounced resonance peaks with sub-Fourier\ncharacter.",
"arxiv_id": "quant-ph/0506090",
"authors": [
"S. Mossmann",
"C. Schumann",
"H. J. Korsch"
],
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"quant-ph"
],
"doi": "10.1209/epl/i2005-10289-5",
"journal_ref": "Europhysics Lett. 72 (2005) 499",
"title": "Chaotic Quantum Decay in Driven Biased Optical Lattices",
"url": "https://arxiv.org/abs/quant-ph/0506090"
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