1
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Yang YJ, Liu YQ, Yu CS. Quantum thermal diode dominated by pure classical correlation via three triangular-coupled qubits. Phys Rev E 2023; 107:064125. [PMID: 37464716 DOI: 10.1103/physreve.107.064125] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2023] [Accepted: 05/30/2023] [Indexed: 07/20/2023]
Abstract
A quantum thermal diode is designed based on three pairwise coupled qubits, two connected to a common reservoir and the other to an independent reservoir. It is found that the internal couplings between qubits can enhance heat currents. If the two identical qubits uniformly couple with the common reservoir, the crossing dissipation will occur, leading to the initial-state-dependent steady state, which can be decomposed into the mixture of two particular steady states: the heat-conducting state generating maximum heat current and the heat-resisting state not transporting heat. However, the rectification factor doesn't depend on the initial state. In particular, we find that neither quantum entanglement nor quantum discord is present in the steady state, but the pure classical correlation shows a remarkably consistent behavior as the heat rectification factor, which reveals the vital role of classical correlation in the system.
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Affiliation(s)
- Yi-Jia Yang
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Yu-Qiang Liu
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Chang-Shui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, China
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2
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Liu YQ, Yang YJ, Yu CS. Quantum heat diode versus light emission in circuit quantum electrodynamical system. Phys Rev E 2023; 107:044121. [PMID: 37198796 DOI: 10.1103/physreve.107.044121] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/25/2022] [Accepted: 04/03/2023] [Indexed: 05/19/2023]
Abstract
Precisely controlling heat transfer in a quantum mechanical system is particularly significant for designing quantum thermodynamical devices. With the technology of experiment advances, circuit quantum electrodynamics (circuit QED) has become a promising system due to controllable light-matter interactions as well as flexible coupling strengths. In this paper, we design a thermal diode in terms of the two-photon Rabi model of the circuit QED system. We find that the thermal diode can not only be realized in the resonant coupling but also achieve better performance, especially for the detuned qubit-photon ultrastrong coupling. We also study the photonic detection rates and their nonreciprocity, which indicate similar behaviors with the nonreciprocal heat transport. This provides the potential to understand thermal diode behavior from the quantum optical perspective and could shed new insight into the relevant research on thermodynamical devices.
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Affiliation(s)
- Yu-Qiang Liu
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Yi-Jia Yang
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Chang-Shui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, China
- DUT-BSU Joint Institute, Dalian University of Technology, Dalian 116024, China
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3
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Yan WB, Man ZX, Zhang YJ, Fan H, Xia YJ. All-optical control of thermal conduction in waveguide quantum electrodynamics. OPTICS LETTERS 2023; 48:823-826. [PMID: 36723598 DOI: 10.1364/ol.481259] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/16/2022] [Accepted: 01/03/2023] [Indexed: 06/18/2023]
Abstract
We investigate the heat conduction between two one-dimensional waveguides intermediated by a laser-driving atom. The laser provides the optical control of the heat conduction. The tunable asymmetric conduction of the heat against the temperature gradient is realized. Assisted by the modulated laser, the heat conduction from either waveguide to the other waveguide can be suppressed. The heat currents can be significantly amplified by the energy flow of the laser.
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4
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Upadhyay V, Naseem MT, Marathe R, Müstecaplıoğlu ÖE. Heat rectification by two qubits coupled with Dzyaloshinskii-Moriya interaction. Phys Rev E 2021; 104:054137. [PMID: 34942835 DOI: 10.1103/physreve.104.054137] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2021] [Accepted: 11/08/2021] [Indexed: 11/07/2022]
Abstract
We investigate heat rectification in a two-qubit system coupled via the Dzyaloshinskii-Moriya (DM) interaction. We derive analytical expressions for heat currents and thermal rectification and provide possible physical mechanisms behind the observed results. We show that the anisotropy of DM interaction in itself is insufficient for heat rectification, and some other form of asymmetry is needed. We employ off-resonant qubits as the source of this asymmetry. We find the regime of parameters for higher rectification factors by examining the analytical expressions of rectification obtained from a global master equation solution. In addition, it is shown that the direction and quality of rectification can be controlled via various system parameters. Furthermore, we compare the influence of different orientations of the DM field anisotropy on the performance of heat rectification. Finally, we investigate the possible interplay between quantum correlations and the performance of the quantum thermal rectifier. We find that asymmetry in the coherences is a fundamental resource for the performance of the quantum thermal rectifier.
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Affiliation(s)
- Vipul Upadhyay
- Department of Physics, Indian Institute of Technology Delhi, Hauz Khas 110 016, India
| | - M Tahir Naseem
- Department of Physics, Koç University, 34450 Sariyer, Istanbul, Turkey
| | - Rahul Marathe
- Department of Physics, Indian Institute of Technology Delhi, Hauz Khas 110 016, India
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5
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Tian F, Zou J, Li L, Li H, Shao B. Effect of Inter-System Coupling on Heat Transport in a Microscopic Collision Model. ENTROPY 2021; 23:e23040471. [PMID: 33923510 PMCID: PMC8073798 DOI: 10.3390/e23040471] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/15/2021] [Revised: 04/07/2021] [Accepted: 04/12/2021] [Indexed: 11/26/2022]
Abstract
In this paper we consider a bipartite system composed of two subsystems each coupled to its own thermal environment. Based on a collision model, we mainly study whether the approximation (i.e., the inter-system coupling is ignored when modeling the system–environment interaction) is valid or not. We also address the problem of heat transport unitedly for both excitation-conserving system–environment interactions and non-excitation-conserving system–environment interactions. For the former interaction, as the inter-system interaction strength increases, at first this approximation gets worse as expected, but then counter-intuitively gets better even for a stronger inter-system coupling. For the latter interaction with asymmetry, this approximation gets progressively worse. In this case we realize a perfect thermal rectification, and we cannot find an apparent rectification effect for the former interaction. Finally and more importantly, our results show that whether this approximation is valid or not is closely related to the quantum correlations between the subsystems, i.e., the weaker the quantum correlations, the more justified the approximation and vice versa.
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Affiliation(s)
- Feng Tian
- School of Physics, Beijing Institute of Technology, Beijing 100081, China; (F.T.); (B.S.)
| | - Jian Zou
- School of Physics, Beijing Institute of Technology, Beijing 100081, China; (F.T.); (B.S.)
- Correspondence:
| | - Lei Li
- School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China;
| | - Hai Li
- School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai 264005, China;
| | - Bin Shao
- School of Physics, Beijing Institute of Technology, Beijing 100081, China; (F.T.); (B.S.)
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6
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Kargı C, Naseem MT, Opatrný T, Müstecaplıoğlu ÖE, Kurizki G. Quantum optical two-atom thermal diode. Phys Rev E 2019; 99:042121. [PMID: 31108591 DOI: 10.1103/physreve.99.042121] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/30/2018] [Indexed: 11/07/2022]
Abstract
We put forward a quantum-optical model for a thermal diode based on heat transfer between two thermal baths through a pair of interacting qubits. We find that if the qubits are coupled by a Raman field that induces an anisotropic interaction, heat flow can become nonreciprocal and undergoes rectification even if the baths produce equal dissipation rates of the qubits, and these qubits can be identical, i.e., mutually resonant. The heat flow rectification is explained by four-wave mixing and Raman transitions between dressed states of the interacting qubits and is governed by a global master equation. The anisotropic two-qubit interaction is the key to the operation of this simple quantum thermal diode, whose resonant operation allows for high-efficiency rectification of large heat currents. Effects of spatial overlap of the baths are addressed. We discuss the possible realizations of the model in various platforms, including optomechanical setups, systems of trapped ions, and circuit QED.
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Affiliation(s)
- Cahit Kargı
- Department of Physics, Koç University, 34450 Sariyer, Istanbul, Turkey
| | - M Tahir Naseem
- Department of Physics, Koç University, 34450 Sariyer, Istanbul, Turkey
| | - Tomáš Opatrný
- Department of Optics, Palacký University, 17. listopadu 50, 77146 Olomouc, Czech Republic
| | | | - Gershon Kurizki
- Department of Chemical and Biological Physics, Weizmann Institute of Science, Rehovot 7610001, Israel
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7
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Wang C, Xu D, Liu H, Gao X. Thermal rectification and heat amplification in a nonequilibrium V-type three-level system. Phys Rev E 2019; 99:042102. [PMID: 31108708 DOI: 10.1103/physreve.99.042102] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/13/2019] [Indexed: 06/09/2023]
Abstract
Thermal rectification and heat amplification are investigated in a nonequilibrium V-type three-level system with quantum interference. By applying the Redfield master equation combined with full counting statistics, we analyze the steady-state heat transport. The noise-induced interference is found to be able to rectify the heat current, which paves a new way to design quantum thermal rectifier. Within the three-reservoir setup, the heat amplification is clearly identified far from equilibrium, which is in absence of the negative differential thermal conductance.
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Affiliation(s)
- Chen Wang
- Department of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang, People's Republic of China
| | - Dazhi Xu
- Department of Physics and Center for Quantum Technology Research, Beijing Institute of Technology, 5 South Zhongguancun Street, Beijing 100081, China
| | - Huan Liu
- Department of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang, People's Republic of China
| | - Xianlong Gao
- Department of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang, People's Republic of China
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8
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Guo BQ, Liu T, Yu CS. Multifunctional quantum thermal device utilizing three qubits. Phys Rev E 2019; 99:032112. [PMID: 30999448 DOI: 10.1103/physreve.99.032112] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/10/2018] [Indexed: 06/09/2023]
Abstract
Quantum thermal devices which can manage heat as their electronic analogs for the electronic currents have attracted increasing attention. Here a three-terminal quantum thermal device is designed by three coupling qubits interacting with three heat baths with different temperatures. Based on the steady-state behavior solved from the dynamics of this system, it is demonstrated that such a device integrates multiple interesting thermodynamic functions. It can serve as a heat current transistor to use the weak heat current at one terminal to effectively amplify the currents through the other two terminals, to continuously modulate them ranging in a large amplitude, and even to switch on or off the heat currents. It is also found that the three currents are not sensitive to the fluctuation of the temperature at the low-temperature terminal, so it can behave as a thermal stabilizer. In addition, we can utilize one terminal temperature to ideally turn off the heat current at any one terminal and to allow the heat currents through the other two terminals, so it can be used as a thermal valve. Finally, we illustrate that this thermal device can control the heat currents to flow unidirectionally, so it has the function of a thermal rectifier.
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Affiliation(s)
- Bao-Qing Guo
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Tong Liu
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Chang-Shui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, China
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9
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Liu H, Wang C, Wang LQ, Ren J. Strong system-bath coupling induces negative differential thermal conductance and heat amplification in nonequilibrium two-qubit systems. Phys Rev E 2019; 99:032114. [PMID: 30999465 DOI: 10.1103/physreve.99.032114] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/21/2018] [Indexed: 06/09/2023]
Abstract
Quantum heat transfer is analyzed in nonequilibrium two-qubits systems by applying the nonequilibrium polaron-transformed Redfield equation combined with full counting statistics. Steady-state heat currents with weak and strong qubit-bath couplings are clearly unified. Within the two-terminal setup, the negative differential thermal conductance is unraveled with strong qubit-bath coupling and finite qubit splitting energy. The partially strong spin-boson interaction is sufficient to show the negative differential thermal conductance. Based on the three-terminal setup, in which two qubits are asymmetrically coupled to three thermal baths, a giant heat amplification factor is observed with strong qubit-bath coupling. Moreover, the strong interaction of either the left or right spin-boson coupling is able to exhibit the apparent heat amplification effect.
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Affiliation(s)
- Huan Liu
- Department of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang, People's Republic of China
| | - Chen Wang
- Department of Physics, Zhejiang Normal University, Jinhua 321004, Zhejiang, People's Republic of China
| | - Lu-Qing Wang
- Center for Phononics and Thermal Energy Science, China-EU Joint Center for Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Sciences and Engineering, Tongji University, Shanghai 200092, China
| | - Jie Ren
- Center for Phononics and Thermal Energy Science, China-EU Joint Center for Nanophononics, Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology, School of Physics Sciences and Engineering, Tongji University, Shanghai 200092, China
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10
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Guo BQ, Liu T, Yu CS. Quantum thermal transistor based on qubit-qutrit coupling. Phys Rev E 2018; 98:022118. [PMID: 30253594 DOI: 10.1103/physreve.98.022118] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2018] [Indexed: 11/07/2022]
Abstract
A quantum thermal transistor is designed by the strong coupling between one qubit and one qutrit which are in contact with three heat baths with different temperatures. The thermal behavior is analyzed based on the master equation by both the numerical and the approximately analytic methods. It is shown that the thermal transistor, as a three-terminal device, allows a weak modulation heat current (at the modulation terminal) to switch on and off and effectively modulate the heat current between the other two terminals. In particular, the weak modulation heat current can induce the strong heat current between the other two terminals with the multiple-region amplification of heat current. Furthermore, the heat currents are quite robust to the temperature (current) fluctuation at the lower-temperature terminal within a certain range of temperature, and so it can behave as a heat current stabilizer.
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Affiliation(s)
- Bao-Qing Guo
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Tong Liu
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Chang-Shui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, China
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11
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Man ZX, Xia YJ. Smallest quantum thermal machine: The effect of strong coupling and distributed thermal tasks. Phys Rev E 2017; 96:012122. [PMID: 29347063 DOI: 10.1103/physreve.96.012122] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/20/2017] [Indexed: 06/07/2023]
Abstract
The functions of the smallest self-contained thermal machine consisting of a single qutrit are studied when the weak internal coupling assumption is relaxed. It is shown that in the presence of one target to be cooled the strong coupling is not beneficial to the refrigeration. The reason is explained by examining the effect of the strong coupling on the contributions of all eigenstates transitions to the heat current of the related thermal reservoir. When acting simultaneously on two targets, the machine can be manipulated to implement distributed tasks on them, such as cooling one target and meanwhile heating another one, by adjusting the coupling strengths between the machine with the two targets. In particular, we show that the machine can realize temperature reversal for the two qubits, namely, the qubit that is coupled to the high temperature reservoir is refrigerated to a temperature below that of the qubit contacting with the low temperature reservoir.
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Affiliation(s)
- Zhong-Xiao Man
- Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China
| | - Yun-Jie Xia
- Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China
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12
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Ordonez-Miranda J, Ezzahri Y, Joulain K. Quantum thermal diode based on two interacting spinlike systems under different excitations. Phys Rev E 2017; 95:022128. [PMID: 28297864 DOI: 10.1103/physreve.95.022128] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/16/2016] [Indexed: 06/06/2023]
Abstract
We demonstrate that two interacting spinlike systems characterized by different excitation frequencies and coupled to a thermal bath each, can be used as a quantum thermal diode capable of efficiently rectifying the heat current. This is done by deriving analytical expressions for both the heat current and rectification factor of the diode, based on the solution of a master equation for the density matrix. Higher rectification factors are obtained for lower heat currents, whose magnitude takes their maximum values for a given interaction coupling proportional to the temperature of the hotter thermal bath. It is shown that the rectification ability of the diode increases with the excitation frequencies difference, which drives the asymmetry of the heat current, when the temperatures of the thermal baths are inverted. Furthermore, explicit conditions for the optimization of the rectification factor and heat current are explicitly found.
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Affiliation(s)
- Jose Ordonez-Miranda
- Institut Pprime, CNRS, Université de Poitiers, ISAE-ENSMA, Futuroscope Chasseneuil F-86962, France
| | - Younès Ezzahri
- Institut Pprime, CNRS, Université de Poitiers, ISAE-ENSMA, Futuroscope Chasseneuil F-86962, France
| | - Karl Joulain
- Institut Pprime, CNRS, Université de Poitiers, ISAE-ENSMA, Futuroscope Chasseneuil F-86962, France
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