2011
DOI: 10.1103/physrevb.84.245109
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Effect of a gap on the decoherence of a qubit

Abstract: We revisit the problem of the decoherence and relaxation of a central spin coupled to a bath of conduction electrons. We consider both metallic and semiconducting baths to study the effect of a gap in the bath density of states (DOS) on the time evolution of the density matrix of the central spin. We use two weak coupling approximation schemes to study the decoherence. At low temperatures, though the temperature dependence of the decoherence rate in the case of a metallic bath is the same irrespective of the d… Show more

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Cited by 8 publications
(15 citation statements)
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References 24 publications
(44 reference statements)
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“…Moreover, as the kinetic energy is positive, the same argument holds for time-dependent configurations. The particular status in the presented argumentation has the second inequality in formula (8). Let us notice that equality at this position has a special status, it is satisfied only in the case of flat space (F = 1).…”
Section: Bogomolny Analysismentioning
confidence: 89%
See 1 more Smart Citation
“…Moreover, as the kinetic energy is positive, the same argument holds for time-dependent configurations. The particular status in the presented argumentation has the second inequality in formula (8). Let us notice that equality at this position has a special status, it is satisfied only in the case of flat space (F = 1).…”
Section: Bogomolny Analysismentioning
confidence: 89%
“…This paper shows that for slowly varying curvatures,s the appropriate 1+1 dimensional model correctly describes curved Josephson junctions. The studies of the influence of the nontrivial shape of the Josephson junction on the kink motion were also undertaken in papers [7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…In general, methods like the Time Convolutionless (TCL) and the Nakajima-Zwanzig (NZ) approach 14 can deal with both Markovian and non-Markovian dynamics. The accuracy of these schemes depends on the problem studied, making it difficult to assert a priori which one is more appropriate 21,22 . In the present problem, since the qubit has intrinsic dynamics H S = 0, we anticipate a Markovian time evolution of the reduced density matrix at long times 19 .…”
Section: A Born Markov Master Equationmentioning
confidence: 99%
“…The system plus environment is described by the Hamiltonian [1]. To facilitate applying the excitation operator method, we re-express the Hamiltonian of the reservoir in real space in terms of an infinite chain:…”
Section: The Model and The Orthonormal Basis Of The Operator Spacementioning
confidence: 99%
“…The decoherence of a small quantum system coupled to a fermionic bath has recently attracted much attention [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17], due to the fact that the fermionic bath manifests as an important source of decoherence in a wide range of electronic devices designed for solid-state quantum computers. In spite of considerable effort, a thorough understanding of the coherence dynamics of fermionic baths is still lack in the non-Markovian regime.…”
Section: Introductionmentioning
confidence: 99%