dorsal/arxiv
View SchemaCurrent behavior of a quantum Hamiltonian ratchet in resonance
| Authors | Dario Poletti, Gabriel G. Carlo, Baowen Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606124 |
| URL | https://arxiv.org/abs/quant-ph/0606124 |
| DOI | 10.1103/PhysRevE.75.011102 |
Abstract
We investigate the ratchet current that appears in a kicked Hamiltonian system when the period of the kicks corresponds to the regime of quantum resonance. In the classical analogue, a spatial-temporal symmetry should be broken to obtain a net directed current. It was recently discovered that in quantum resonance the temporal symmetry can be kept, and we prove that breaking the spatial symmetry is a necessary condition to find this effect. Moreover, we show numerically and analytically how the direction of the motion is dramatically influenced by the strength of the kicking potential and the value of the period. By increasing the strength of the interaction this direction changes periodically, providing us with a non-expected source of current reversals in this quantum model. These reversals depend on the kicking period also, though this behavior is theoretically more difficult to analyze. Finally, we generalize the discussion to the case of a non-uniform initial condition.
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"abstract": "We investigate the ratchet current that appears in a kicked Hamiltonian\nsystem when the period of the kicks corresponds to the regime of quantum\nresonance. In the classical analogue, a spatial-temporal symmetry should be\nbroken to obtain a net directed current. It was recently discovered that in\nquantum resonance the temporal symmetry can be kept, and we prove that breaking\nthe spatial symmetry is a necessary condition to find this effect.\n Moreover, we show numerically and analytically how the direction of the\nmotion is dramatically influenced by the strength of the kicking potential and\nthe value of the period. By increasing the strength of the interaction this\ndirection changes periodically, providing us with a non-expected source of\ncurrent reversals in this quantum model. These reversals depend on the kicking\nperiod also, though this behavior is theoretically more difficult to analyze.\nFinally, we generalize the discussion to the case of a non-uniform initial\ncondition.",
"arxiv_id": "quant-ph/0606124",
"authors": [
"Dario Poletti",
"Gabriel G. Carlo",
"Baowen Li"
],
"categories": [
"quant-ph",
"cond-mat.soft"
],
"doi": "10.1103/PhysRevE.75.011102",
"title": "Current behavior of a quantum Hamiltonian ratchet in resonance",
"url": "https://arxiv.org/abs/quant-ph/0606124"
},
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