Enhancement of coherence in qubits due to interaction with the environment

Ignatyuk, V. V.; Morozov, V. G.

doi:10.1103/physreva.91.052102

Cited by 12 publications

(53 citation statements)

References 25 publications

(72 reference statements)

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“…Consequently the coefficient c 0,n 0 > 0 must be positive, c 0,n 0 > 0. The lowfrequency behavior (19) provides dominant power laws for n 0 = 0, and the integrable inversepower-law divergences, appearing for 0 > α 0 > −1, are integrable. In case α 0 = 0, the logarithmic power n 0 must vanish due to the constraint of summability.…”

Section: First Class Of Spectral Densitiesmentioning

confidence: 99%

“…Consequently, in such initial configuration the qubit and thermal bath are correlated. Refer to [17,18,19,24,25,26,27,28,29] for details.…”

Section: Special Correlated Initial Conditionsmentioning

confidence: 99%

“…The non-equilibrium energy of the bosonic bath is evaluated as the sum over the bosonic modes of the expectation values of the number of excitations [17,18,19],…”

Section: The Energy Of the Bosonic Bathmentioning

confidence: 99%

“…If the power α 0 takes odd natural values and the logarithmic power n 0 , for the first class of SDs, and β 0 , for the second class, vanishes, the limit ψ (∞) depends on the power α k 2 appearing in Eq. (19). The number k 2 is the least non-vanishing index such that either α k 2 is not an odd natural number or it is and the power n k 2 , for the first class of SDs, or β k 2 , for the second class, is non-vanishing.…”

Section: Short-and Long-time Behaviorsmentioning

confidence: 99%

“…Consequently, no energy flows between the open system and the external environment. Still, the non-equilibrium energy of the bosonic bath varies and can be estimated via the SD for special correlated initial conditions [17,18,19]. In such cases the bath energy exhibits a straightforward connection with the information flow over long times [20].…”

Section: Introductionmentioning

confidence: 99%

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Damped Oscillations of the Energy of a Bosonic Bath due to Spectral Gaps and Special Initial Correlations

Giraldi

2018

Open Syst. Inf. Dyn.

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The energy of the bosonic bath and the flow of quantum information are analyzed over short and long times in local dephasing channels for special correlated or factorized initial conditions, respectively, which involve thermal states. The continuous distribution of frequency modes of the bosonic bath exhibits a spectral gap over low frequencies. The bath energy shows oscillatory behaviors around the asymptotic value and information is alternatively lost and gained by the open system. Due to the low-frequency gap, the damped oscillations become regular over long times and the frequency of the oscillations coincides with the upper cut-off frequency of the spectral gap. Sequences of long-time intervals are obtained over which the bath energy increases (decreases), for the correlated initial conditions, and information is lost (gained) by the open system, for the factorized initial configurations, even at different temperatures. Such long-time correspondence between the variations of the bath energy and of the information is reversed if compared to the one obtained without the low-frequency gap. The correspondence fails if the spectral density is tailored according to power laws with odd natural powers near the upper cut-off frequency of the spectral gap.

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Section: First Class Of Spectral Densitiesmentioning

confidence: 99%

“…Consequently, in such initial configuration the qubit and thermal bath are correlated. Refer to [17,18,19,24,25,26,27,28,29] for details.…”

Section: Special Correlated Initial Conditionsmentioning

confidence: 99%

“…The non-equilibrium energy of the bosonic bath is evaluated as the sum over the bosonic modes of the expectation values of the number of excitations [17,18,19],…”

Section: The Energy Of the Bosonic Bathmentioning

confidence: 99%

Section: Short-and Long-time Behaviorsmentioning

confidence: 99%