Quantum state transmission through a spin chain in finite-temperature heat baths

Wang, Zhaoming; Fu-tian, Ren; Luo, Dawei; Zhang, Yan; Wu, Lian-Ao

doi:10.1088/1751-8121/abe751

Cited by 12 publications

(16 citation statements)

References 73 publications

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“…It contains the information about spectrum of the bath. For simplicity we assume the weak system-bath coupling, high temperature or low frequency approximations [27]. Here we use spectrum density…”

Section: Model and Hamiltonianmentioning

confidence: 99%

“…Γ represents the strength of the system-bath coupling and γ is the characteristic frequency of the bath. Using such approximations, we have [27]…”

Section: Model and Hamiltonianmentioning

confidence: 99%

“…The quantum state diffusion (QSD) equation method has been proved to be a promising approach to this problem [20][21][22][23][24], and it can give analytical or exact solutions for many interesting systems [25,26]. Recently, by using QSD approach, QST through a spin chain in two zero-temperature non-Markovian baths [20] or in finitetemperature non-Markovian heat baths [27] is investigated. The transmission fidelity is found to decrease with increasing system-bath coupling strength, bath temperature, and bath Markovianity.…”

Section: Introductionmentioning

confidence: 99%

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Control cost and quantum speed limit time in controlled almost exact state transmission in open systems

Nie,

Ren,

et al. 2021

Preprint

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We investigate the influence of the environment noise on the control cost and quantum speed limit time (QSLT) in the process of quantum state transmission through a spin chain under pulse control. The chain is immersed in its surrounding non-Markovian, finite temperature heat baths. We find that almost exact state transmission (AEST) can be realized in weak system-bath coupling, low temperature, and strong non-Markovian baths under effective external control. Correspondingly, the control cost decreases with decreasing bath temperature, system-bath coupling strength. Non-Markovianity from the baths can also help to reduce the cost. There exists a trade-off between the control cost and transmission fidelity. Higher fidelity requires higher cost. In addition, the minimum cost has been found to obtain AEST. Furthermore, we discuss the QSLT during the process of AEST. It is noticeable that non-Markovianity from the baths plays a very important role. More non-Markvoian baths correspond to shorter QSLT for weak system-bath coupling and low temperature. However, in the strong coupling and high temperature regime, more Markovian baths correspond to shorter QSLT.

show abstract

Section: Model and Hamiltonianmentioning

confidence: 99%

“…Γ represents the strength of the system-bath coupling and γ is the characteristic frequency of the bath. Using such approximations, we have [27]…”

Section: Model and Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Control cost and quantum speed limit time in controlled almost exact state transmission in open systems

Nie,

Ren,

et al. 2021

Preprint

Self Cite

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“…It controls the correlation time of the bath and decays as 1/γ j . The larger γ j , the smoother the spectral function, the shorter time the bath takes to relax to equilibrium, and the more Markovian the bath is [33].…”

mentioning

confidence: 99%

“…If we use a Lorentz-Drude spectrum under high temperature or low frequency approximation, closed equations for the operator O j z,(w) [33,38] have been derived to numerically calculate the non-Markovian master equation in Eq. ( 4)…”

mentioning

confidence: 99%

Nonequilibrium Quantum Thermodynamics in Non-Markovian Adiabatic Speedup

Wang,

Ren,

Sarandy

et al. 2021

Preprint

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Understanding heat transfer between a quantum system and its environment is of grave importance if reliable quantum devices are to be constructed. Here, the heat transfer between the system and bath in non-Markovian open quantum systems in the process of adiabatic speedup is investigated. Using the quantum state diffusion equation method, the heat current, energy current and the power are calculated during the free evolution and under external control of the system. While the heat current increases with increasing system-bath coupling strength and bath temperature, the non-Markovian nature of the bath can restrict the heat current. Without pulse control, the heat current is nearly equal to energy current. However, with pulse control, the energy current is nearly equal to the power. We show that more non-Markovian baths can be used to better approximate an adiabatic evolution and have a smaller heat current. Our results reveal that the non-Markovian nature of the bath significantly contributes to both the heat transfer rate as well as the effective adiabatic speedup.

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Control cost and quantum speed limit time in controlled almost-exact state transmission in open systems

Nie

Fu-tian

et al. 2021

Phys. Rev. A

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Quantum state transmission through a spin chain in finite-temperature heat baths

Cited by 12 publications

References 73 publications

Control cost and quantum speed limit time in controlled almost exact state transmission in open systems

Control cost and quantum speed limit time in controlled almost exact state transmission in open systems

Nonequilibrium Quantum Thermodynamics in Non-Markovian Adiabatic Speedup

Control cost and quantum speed limit time in controlled almost-exact state transmission in open systems

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