dorsal/arxiv
View SchemaDecoherence Sturdy Memories in the Presence of Quantum Dissipation
| Authors | K. M. Fonseca Romero, S. G. Mokarzel, M. C. Nemes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202031 |
| URL | https://arxiv.org/abs/quant-ph/0202031 |
Abstract
We consider N identical oscillators coupled to a single environment and show that the conditions for the existence of decoherence free subspaces are degeneracy of the oscillator frequencies and separability of the coupling with the environment. A formal exact equation for the evolution in the case of two oscillators is found and the decoherence free subspace is explicitly determined. A full analytical solution for any initial condition and general parameters (frequencies and dissipation constants) is given in the markovian approximation and zero temperature. We find that slight relaxation of degeneracy and separability conditions leads to the appearence of two components in the dynamical evolution with very different decoherence times. The ratio between the characteristic time of the weak and strong decoherent components is given by $\tau_{WD}/\tau_{SD}\approx k/\delta k$, where $\delta k$ is a measure of the nonseparability of the coupling to the environment and $k$ is the mean decay constant of the oscillators.
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"abstract": "We consider N identical oscillators coupled to a single environment and show\nthat the conditions for the existence of decoherence free subspaces are\ndegeneracy of the oscillator frequencies and separability of the coupling with\nthe environment. A formal exact equation for the evolution in the case of two\noscillators is found and the decoherence free subspace is explicitly\ndetermined. A full analytical solution for any initial condition and general\nparameters (frequencies and dissipation constants) is given in the markovian\napproximation and zero temperature. We find that slight relaxation of\ndegeneracy and separability conditions leads to the appearence of two\ncomponents in the dynamical evolution with very different decoherence times.\nThe ratio between the characteristic time of the weak and strong decoherent\ncomponents is given by $\\tau_{WD}/\\tau_{SD}\\approx k/\\delta k$, where $\\delta\nk$ is a measure of the nonseparability of the coupling to the environment and\n$k$ is the mean decay constant of the oscillators.",
"arxiv_id": "quant-ph/0202031",
"authors": [
"K. M. Fonseca Romero",
"S. G. Mokarzel",
"M. C. Nemes"
],
"categories": [
"quant-ph"
],
"title": "Decoherence Sturdy Memories in the Presence of Quantum Dissipation",
"url": "https://arxiv.org/abs/quant-ph/0202031"
},
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