dorsal/arxiv
View SchemaQuantum Reversibility: Is there an Echo?
| Authors | Moritz Hiller, Tsampikos Kottos, Doron Cohen, Theo Geisel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308112 |
| URL | https://arxiv.org/abs/quant-ph/0308112 |
| DOI | 10.1103/PhysRevLett.92.010402 |
| Journal | Phys. Rev. Lett. 92, 010402 (2004). |
Abstract
We study the possibility to undo the quantum mechanical evolution in a time reversal experiment. The naive expectation, as reflected in the common terminology ("Loschmidt echo"), is that maximum compensation results if the reversed dynamics extends to the same time as the forward evolution. We challenge this belief, and demonstrate that the time $t_r$ for maximum return probability is in general shorter. We find that $t_r$ depends on $lambda = eps_evol/eps_prep$, being the ratio of the error in setting the parameters (fields) for the time reversed evolution to the perturbation which is involved in the preparation process. Our results should be observable in spin-echo experiments where the dynamical irreversibility of quantum phases is measured.
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"abstract": "We study the possibility to undo the quantum mechanical evolution in a time\nreversal experiment. The naive expectation, as reflected in the common\nterminology (\"Loschmidt echo\"), is that maximum compensation results if the\nreversed dynamics extends to the same time as the forward evolution. We\nchallenge this belief, and demonstrate that the time $t_r$ for maximum return\nprobability is in general shorter. We find that $t_r$ depends on $lambda =\neps_evol/eps_prep$, being the ratio of the error in setting the parameters\n(fields) for the time reversed evolution to the perturbation which is involved\nin the preparation process. Our results should be observable in spin-echo\nexperiments where the dynamical irreversibility of quantum phases is measured.",
"arxiv_id": "quant-ph/0308112",
"authors": [
"Moritz Hiller",
"Tsampikos Kottos",
"Doron Cohen",
"Theo Geisel"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.92.010402",
"journal_ref": "Phys. Rev. Lett. 92, 010402 (2004).",
"title": "Quantum Reversibility: Is there an Echo?",
"url": "https://arxiv.org/abs/quant-ph/0308112"
},
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