Decoherence of a two-level system interacting with a disturbed Ohmic reservoir

Ban, Masashi

doi:10.1007/s11128-019-2337-z

Cited by 2 publications

(2 citation statements)

References 27 publications

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“…In general, the coherence of the firs quantum system A quantify the power of disturbance of the environment. In the sense that if initial state of the quantum system A is maximally coherent then disturbance has its maximum value and and vice versa [34]. We studied the effects of disturbance on the QSL time.…”

Section: Discussionmentioning

confidence: 99%

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Quantum speed limit time in the presence of disturbance

Haseli

Salimi

Dolatkhah

2019

Preprint

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Quantum theory sets a bound on the minimal time evolution between initial and target states. This bound is called as quantum speed limit time. It is used to quantify maximal speed of quantum evolution. The quantum evolution will be faster, if quantum speed limit time decreases. In this work, we study the quantum speed limit time of a quantum state in the presence of disturbance effects in an environment. We use the model which is provided by Masashi Ban in Phys. Rev. A 99, 012116 (2019). In this model two quantum systems A and S interact with environment sequentially. At first, quantum system A interacts with the environment E as an auxiliary system then quantum system S interacts with disturbed environment immediately. In this work, we consider dephasing coupling with two types of environment with different spectral density: Ohmic and Lorentzian. We observe that, non-Markovian effects will be appear in the dynamics of quantum system S by the interaction of quantum system A with the environment. Given the fact that quantum speed limit time reduces due to non-Markovian effects, we show that disturbance effects will reduce the quantum speed limit time.

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Section: Discussionmentioning

confidence: 99%

“…It is worth noting that the amount of disturbance in the environment depends on the state of the first quantum system. We will show that the disturbance is strong when the state of the first quantum system which disturbs the environment has zero coherence and the disturbance is weak when it has maximum value of coherence [34].…”

Section: Introductionmentioning

confidence: 93%

Quantum speed limit time in the presence of disturbance

Haseli

Salimi

Dolatkhah

2019

Preprint

View full text Add to dashboard Cite

show abstract

Quantum speed limit time in the presence of disturbance

2020

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Quantum theory sets a bound on the minimal time it takes for a system to evolve from initial state to target state. This bound is called the quantum speed limit (QSL) time. The quantum speed limit time is used to quantify the maximal speed of the quantum evolution. The quantum evolution will be faster if the quantum speed limit time decreases. In this work, we study the quantum speed limit time for an open quantum system in the presence of disturbance in an environment. We use the model which is provided by Ban [Phys. Rev. A 99, 012116 (2019)]. In this model, two quantum systems [Formula: see text] and [Formula: see text] interact with environment sequentially. At first, quantum system [Formula: see text] interacts with the environment [Formula: see text] as an auxiliary system, then quantum system [Formula: see text] starts its interaction with disturbed environment immediately. In this work, we consider the dephasing coupling with two types of environment that has different spectral density: Ohmic and Lorentzian. We observe that, non-Markovian effects will appear in the dynamics of the second quantum system [Formula: see text] due to the interaction of the first quantum system [Formula: see text] with the environment. Given the fact that the quantum speed limit time reduces due to the non-Markovian feature of quantum evolution, we show that disturbance effects will reduce the quantum speed limit time for the dynamics of the second quantum system [Formula: see text].

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Decoherence of a two-level system interacting with a disturbed Ohmic reservoir

Cited by 2 publications

References 27 publications

Quantum speed limit time in the presence of disturbance

Quantum speed limit time in the presence of disturbance

Quantum speed limit time in the presence of disturbance

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