dorsal/arxiv
View SchemaDecoherence of Two-Level Systems Can Be Very Different From Brownian Particles
| Authors | B. L. Hu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203001 |
| URL | https://arxiv.org/abs/quant-ph/0203001 |
| DOI | 10.1016/S0960-0779(02)00299-0 |
Abstract
In quantum computation, it is of paramount importance to locate the parameter space where maximal coherence can be preserved in the qubit system. In recent years environment-induced decoherence based the quantum Brownian motion (QBM) models have been applied to two level systems (2LS) interacting with an electromagnetic field, leading to the general belief that 2LS are easily decohered. In a recent paper C. Anastopoulos and B. L. Hu [Phys. Rev. A62, (2000) 033821] derived a new exact non-Markovian master equation at zero temperature, from which they showed that this belief is actually misplaced. For a two-level atom (2LA)- electromagnetic field (EMF) system the decoherence time is rather long, comparable to the relaxation time. Theoretically this is because the dominant interaction is the $\hat \sigma_{\pm}$ type of coupling between the two levels (what constitutes the qubit) and the field, not the $\hat \sigma_z$ type, which shows the QBM behavior. Depending on the coupling the field can act as a resonator (in an atom cavity) or as a bath (in QBM) and produce very different decoherent behavior in the system. This is not new to Cavity QED experimentalists: the 2LA-EMF system maintaining its coherence in sufficiently long duration is the reason why they can manipulate them so well to show interesting quantum coherence effects.
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"abstract": "In quantum computation, it is of paramount importance to locate the parameter\nspace where maximal coherence can be preserved in the qubit system. In recent\nyears environment-induced decoherence based the quantum Brownian motion (QBM)\nmodels have been applied to two level systems (2LS) interacting with an\nelectromagnetic field, leading to the general belief that 2LS are easily\ndecohered. In a recent paper C. Anastopoulos and B. L. Hu [Phys. Rev. A62,\n(2000) 033821] derived a new exact non-Markovian master equation at zero\ntemperature, from which they showed that this belief is actually misplaced. For\na two-level atom (2LA)- electromagnetic field (EMF) system the decoherence time\nis rather long, comparable to the relaxation time. Theoretically this is\nbecause the dominant interaction is the $\\hat \\sigma_{\\pm}$ type of coupling\nbetween the two levels (what constitutes the qubit) and the field, not the\n$\\hat \\sigma_z$ type, which shows the QBM behavior. Depending on the coupling\nthe field can act as a resonator (in an atom cavity) or as a bath (in QBM) and\nproduce very different decoherent behavior in the system. This is not new to\nCavity QED experimentalists: the 2LA-EMF system maintaining its coherence in\nsufficiently long duration is the reason why they can manipulate them so well\nto show interesting quantum coherence effects.",
"arxiv_id": "quant-ph/0203001",
"authors": [
"B. L. Hu"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0960-0779(02)00299-0",
"title": "Decoherence of Two-Level Systems Can Be Very Different From Brownian Particles",
"url": "https://arxiv.org/abs/quant-ph/0203001"
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