2005
DOI: 10.1209/epl/i2004-10448-2
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Decoherence from an antiferromagnetic environment

Abstract: The decoherence of a central spin in an antiferromagnetic environment is investigated theoretically in terms of the spin wave approximation. It is analytically shown that the decoherence factor which displays a Gaussian decay strongly depends on the quantum correlations and the structure of the environment. The relation between the decoherence factor and the environmental temperature is also given explicitly.

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Cited by 17 publications
(23 citation statements)
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“…Based on these results Wilkie has speculated [35] that some sort of transition occurs with increasing temperature; a chaotic bath could cause less decoherence at low temperature and greater decoherence at high temperature. This conjecture would be consistent with the spin-bath results [4,6,[8][9][10][11][12][13][14] and would not be in direct conflict with the oscillator calculation [5]. However, the existence of such a transition is difficult to verify in exact spin-bath or oscillator-bath calculations.…”
Section: Introductionsupporting
confidence: 76%
“…Based on these results Wilkie has speculated [35] that some sort of transition occurs with increasing temperature; a chaotic bath could cause less decoherence at low temperature and greater decoherence at high temperature. This conjecture would be consistent with the spin-bath results [4,6,[8][9][10][11][12][13][14] and would not be in direct conflict with the oscillator calculation [5]. However, the existence of such a transition is difficult to verify in exact spin-bath or oscillator-bath calculations.…”
Section: Introductionsupporting
confidence: 76%
“…where H S , H B are the Hamiltonians of the central spin and the environment respectively, and H SB is the coupling term [17,18,33,45]. They can be written as…”
Section: Model and Spin Wave Approximationmentioning
confidence: 99%
“…This decoherence problem of a central spin in an antiferromagnetic environment has been investigated in Ref. [33]. A similar problem of a spin-1/2 impurity embedded in an antiferromagnetic environment has been studied in the context of quantum frustration of decoherence in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…Recent work suggests that the internal dynamics of the environment can be crucial to the decoherence of the central system. [3][4][5][6][7][8][9][10][11][12][13][14][15] In this paper, we present results of extensive simulation work of a two-spin system interacting with a spin-bath environment and show that the decoherence of the two-spin system can exhibit different behaviors, depending on the characteristics of the coupling with the environment, the internal dynamics, and the initial state of the latter. We also provide a simple physical picture to understand this behavior.…”
Section: Introductionmentioning
confidence: 99%