Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations

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

doi:10.5488/cmp.16.34001

Cited by 14 publications

(31 citation statements)

References 17 publications

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“…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%

“…Following Ref. [18], if the whole system is initially prepared in the mentioned initial condition the non-equilibrium energy of the bosonic bath is…”

Section: The Energy Of the Bosonic Bathmentioning

confidence: 99%

“…For a discrete distribution of frequency modes the initial bath energy is given by the expression [18] ǫ…”

Section: The Energy Of the Bosonic Bathmentioning

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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“…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%

“…Following Ref. [18], if the whole system is initially prepared in the mentioned initial condition the non-equilibrium energy of the bosonic bath is…”

Section: The Energy Of the Bosonic Bathmentioning

confidence: 99%

“…For a discrete distribution of frequency modes the initial bath energy is given by the expression [18] ǫ…”

Section: The Energy Of the Bosonic Bathmentioning

confidence: 99%

See 2 more Smart Citations

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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“…Different paths have been followed in order to tackle the issue of initially correlated states between system and environment in special systems of physical interest2021222324. In particular great attention has been devoted to study the conditions under which a completely positive map can in some sense be introduced.…”

mentioning

confidence: 99%

Reduced dynamical maps in the presence of initial correlations

Vacchini

Amato

2016

Sci Rep

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We introduce a framework for the construction of completely positive dynamical evolutions in the presence of system-environment initial correlations. The construction relies upon commutativity of the compatibility domain obtained by considering the marginals with respect to the environmental degrees of freedom of the considered class of correlated states, as well as basic properties of completely positive maps. Our approach allows to consider states that can have finite discord, though it does not include entangled states, and it explicitly shows the non-uniqueness of the completely positive extensions of the obtained dynamical map outside the compatibility domain. The possible relevance of such maps for the treatment of open quantum system dynamics is critically discussed, together with the connection to previous literature.

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Time evolution of quantum correlations in presence of state dependent bath

Mehboob¹,

Lone²,

Ganai³

2022

Phys. Scr.

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The emerging quantum technologies heavily rely on the understanding of dynamics in open quantum systems. In the Born approximation, the initial system-bath correlations are often neglected which can be violated in the strong coupling regimes and quantum state preparation. In order to understand the inﬂuence of initial system-bath correlations, we study the extent to which these initial correlations and the distance of separation between qubits inﬂuence the dynamics of quantum entanglement and coherence. It is shown that at low temperatures, the initial correlations have no role to play while at high temperatures, these correlations strongly inﬂuence the dynamics. Furthermore, we have shown that distance of separation between the qubits in presence of collective bath helps to maintain entanglement and coherence at long times.

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Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations

Cited by 14 publications

References 17 publications

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

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

Reduced dynamical maps in the presence of initial correlations

Time evolution of quantum correlations in presence of state dependent bath

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