Coupled two-qubit engine and refrigerator in Heisenberg model

Ahadpour, Sodeif; Мирмасоуди, Фороузан

doi:10.1007/s11128-021-03019-x

Cited by 13 publications

(9 citation statements)

References 33 publications

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“…Here we consider a system consisting of two interacting qubits a and b as the working material a four- level quantum Otto engine, which is described by XY Hamiltonian considering the spin-orbit interaction and magnetic field 35 : where denotes the Pauli operators that affect the qubits , and are the strength of the antiferromagnetic couplings, B is the intensity of the magnetic field, and D is the spin-orbit interaction factor. We set and assume that the dynamics of the working matter density operator have the Markovian property, and can be stated by Lindblad master equation as follows 36 : Accordingly, and is the jump operator that describes the operation of the baths, and is the dissipation rate associated with the Lindblad term in the above equation.…”

Section: Model System: the Quantum Otto Enginementioning

confidence: 99%

Quantum correlated heat engine in XY chain with Dzyaloshinskii–Moriya interactions

Asadian

Ahadpour

Мирмасоуди

2022

Sci Rep

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In this paper, we consider a heat engines composed of two interactional qubits with spin-orbit interaction (Dzyaloshinskii–Moriya (DM)) subject to an external magnetic field, so that each qubit is coupled with cold or hot source. One intention of this work is to investigate the following question: is it possible the effects of DM lead to improve basic thermodynamic quantities in this heat engine are coupled to local environments that are not necessarily at equilibrium? Moreover, we study whether or not quantum correlations can be helpful in the performance of quantum work engines. For this end, we investigate the effects of the temperature and the interaction rate of each qubit with its surrounding environment on quantum correlations such as quantum coherence and quantum discord and quantum entanglements, as well as the generated work. Finally we compare three quantum correlations (entanglement, discord, and coherence) with thermodynamic parameters and show that the output work is positive for what values of the magnetic field so that this cycle can be considered as a thermal machine.

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Section: Model System: the Quantum Otto Enginementioning

confidence: 99%

Quantum correlated heat engine in XY chain with Dzyaloshinskii–Moriya interactions

Asadian

Ahadpour

Мирмасоуди

2022

Sci Rep

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Section: Model System: the Quantum Otto Enginementioning

confidence: 99%

Quantum Correlated Heat Engine In XY Chainwith Dzyaloshinskii-Moriya Interactions

Asadian

Ahadpour

Мирмасоуди

2021

Preprint

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In this paper, we consider a heat engines composed of two interactionalqubits with spin-orbit interaction (Dzyaloshinskii–Moriya (DM)) subjectto an external magnetic field, so that each qubit is considered as a cold orhot source. One intention of this work is to investigate the following question: is it possible the effects of DM lead to improve basic thermodynamicquantities in this heat engine are coupled to local environments that arenot necessarily at equilibrium? For this end, we investigate the effects ofthe temperature and the interaction rate of each qubit with its surrounding environment on quantum correlations such as quantum coherence andquantum discord and quantum entanglements, as well as the generatedwork. Finally we compare three quantum correlations (entanglement, discord, and coherence) with thermodynamic parameters and show that theoutput work is positive for what values of the magnetic field so that thiscycle can be considered as a thermal machine.

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“…[50][51][52] when a thermal bath being replaced by a quantum measurement as a new source of heat, in Ref. [53][54][55] the role of Dzyaloshinski-Moriya interaction, in Ref. [56] the authors examine the performance of a two-coupled spins of arbitrary magnitudes (where majorization [57] has been used to find the upper bound of efficiency, which was an open question to be answered), and last but not least, the role of non-adiabaticity (i.e., when the unitary strokes are done in finite time) for one spin and two coupled spin-1/2 particles [58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

“…We show that they shift the advantage in COP to large values of Γ z . When the system is working as a refrigerator, it has been studied in [55,72], but in contrast to them, we explore the role of idel levels as well as the role of increasing the number of interacting spins on the COP, two situations that have not been explored there. Moreover, taking advantage of this model, we point out a flaw in [47], by showing that it is not necessary to change both the external magnetic field and the coupling parameters to break the extensive property of the global extractable work.…”

Section: Introductionmentioning

confidence: 99%

Enhancing the performance of coupled quantum Otto thermal machines without entanglement and quantum correlations

Makouri¹,

Slaoui²,

Daoud³

2022

Preprint

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We start with a revision study of two coupled spin-1/2 under the influence of KSEA interaction and a magnetic field. We first show the role of idel levels, i.e., levels that do not couple to the external magnetic field, when the system is working as a heat engine as well as when it is a refrigerator. Then we point out a flaw in [PRE. 92, (2015) 022142] by showing that it is not necessary to change both the magnetic field as well as the coupling parameters to break the extensive property of the work extracted globally from two coupled spin-1/2 as has been demonstrated there. Then we study the role of increasing the number of coupled spins on efficiency, extractable work, and coefficient of performance (COP). First, we consider two-and three-coupled spin-1/2 Heisenberg XXX-chain. We prove that the latter can outperform the former in terms of efficiency, extractable work, and COP. Then we consider the Ising model, where the number of interacting spins ranges from two to six. We show that only when the number of interacting spins is odd the system can work as a heat engine in the strong coupling regime. The enhancements in efficiency and COP are explored in detail. Finally, this model confirms the idea that entanglement and quantum correlations are not the reasons behind the advantages observed in efficiency, extracatable work, and COP, but only due to the structure of the energy levels of the Hamiltonian of the working substance.

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Coupled two-qubit engine and refrigerator in Heisenberg model

Cited by 13 publications

References 33 publications

Quantum correlated heat engine in XY chain with Dzyaloshinskii–Moriya interactions

Quantum correlated heat engine in XY chain with Dzyaloshinskii–Moriya interactions

Quantum Correlated Heat Engine In XY Chainwith Dzyaloshinskii-Moriya Interactions

Enhancing the performance of coupled quantum Otto thermal machines without entanglement and quantum correlations

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