dorsal/arxiv
View SchemaQuantum Reversibility and Echoes in Interacting Systems
| Authors | Cyril Petitjean, Philippe Jacquod |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604018 |
| URL | https://arxiv.org/abs/quant-ph/0604018 |
| DOI | 10.1103/PhysRevLett.97.124103 |
| Journal | Phys. Rev. Lett. 97, 124103 (2006) |
Abstract
In Echo experiments, imperfect time-reversal operations are performed on a subset of the total number of degrees of freedom. To capture the physics of these experiments, we introduce a partial fidelity, the Boltzmann echo, where only part of the system's degrees of freedom can be time-reversed. We present a semiclassical calculation of the Boltzmann echo. We show that, as the time-reversal operation is performed more and more accurately, the decay rate of the Boltzmann echo saturates at a value given by the decoherence rate of the controlled degrees of freedom due to their coupling to uncontrolled ones. We connect these results with NMR spin echo experiments.
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"abstract": "In Echo experiments, imperfect time-reversal operations are performed on a\nsubset of the total number of degrees of freedom. To capture the physics of\nthese experiments, we introduce a partial fidelity, the Boltzmann echo, where\nonly part of the system\u0027s degrees of freedom can be time-reversed. We present a\nsemiclassical calculation of the Boltzmann echo. We show that, as the\ntime-reversal operation is performed more and more accurately, the decay rate\nof the Boltzmann echo saturates at a value given by the decoherence rate of the\ncontrolled degrees of freedom due to their coupling to uncontrolled ones. We\nconnect these results with NMR spin echo experiments.",
"arxiv_id": "quant-ph/0604018",
"authors": [
"Cyril Petitjean",
"Philippe Jacquod"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"physics.optics"
],
"doi": "10.1103/PhysRevLett.97.124103",
"journal_ref": "Phys. Rev. Lett. 97, 124103 (2006)",
"title": "Quantum Reversibility and Echoes in Interacting Systems",
"url": "https://arxiv.org/abs/quant-ph/0604018"
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