1
|
Yang YJ, Liu YQ, Liu Z, Yu CS. Magnetically controlled quantum thermal devices via three nearest-neighbor coupled spin-1/2 systems. Phys Rev E 2024; 109:014142. [PMID: 38366441 DOI: 10.1103/physreve.109.014142] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/25/2023] [Accepted: 01/08/2024] [Indexed: 02/18/2024]
Abstract
A quantum thermal device based on three nearest-neighbor coupled spin-1/2 systems controlled by the magnetic field is proposed. We systematically study the steady-state thermal behaviors of the system. When the two terminals of our system are in contact with two thermal reservoirs, respectively, the system behaves as a perfect thermal modulator that can manipulate heat current from zero to specific values by adjusting magnetic-field direction over different parameter ranges, since the longitudinal magnetic field can completely block the heat transport. Significantly, the modulator can also be achieved when a third thermal reservoir perturbs the middle spin. We also find that the transverse field can induce the system to separate into two subspaces in which neither steady-state heat current vanishes, thus providing an extra level of control over the heat current through the manipulation of the initial state. In addition, the performance of this device as a transistor can be enhanced by controlling the magnetic field, achieving versatile amplification behaviors, in particular substantial amplification factors.
Collapse
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
| | - Zheng Liu
- School of Physics, Dalian University of Technology, Dalian 116024, China
| | - Chang-Shui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, China
| |
Collapse
|
2
|
Liu YQ, Yang YJ, Ma TT, Liu Z, Yu CS. Quantum heat valve and diode of strongly coupled defects in amorphous material. Phys Rev E 2024; 109:014137. [PMID: 38366475 DOI: 10.1103/physreve.109.014137] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2023] [Accepted: 12/20/2023] [Indexed: 02/18/2024]
Abstract
The mechanical strain can control the frequency of two-level atoms in amorphous material. In this work, we would like to employ two coupled two-level atoms to manipulate the magnitude and direction of heat transport by controlling mechanical strain to realize the function of a thermal switch and valve. It is found that a high-performance heat diode can be realized in the wide piezo voltage range at different temperatures. We also discuss the dependence of the rectification factor on temperatures and couplings of heat reservoirs. We find that the higher temperature differences correspond to the larger rectification effect. The asymmetry system-reservoir coupling strength can enhance the magnitude of heat transfer, and the impact of asymmetric and symmetric coupling strength on the performance of the heat diode is complementary. It may provide an efficient way to modulate and control heat transport's magnitude and flow preference. This work may give insight into designing and tuning quantum heat machines.
Collapse
Affiliation(s)
- Yu-Qiang Liu
- School of Physics, Dalian University of Technology, Dalian 116024, People's Republic of China
| | - Yi-Jia Yang
- School of Physics, Dalian University of Technology, Dalian 116024, People's Republic of China
| | - Ting-Ting Ma
- School of Physics, Dalian University of Technology, Dalian 116024, People's Republic of China
| | - Zheng Liu
- School of Physics, Dalian University of Technology, Dalian 116024, People's Republic of China
| | - Chang-Shui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, People's Republic of China
| |
Collapse
|
3
|
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: 0] [Impact Index Per Article: 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.
Collapse
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
| |
Collapse
|
4
|
Arrachea L. Energy dynamics, heat production and heat-work conversion with qubits: toward the development of quantum machines. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2023; 86:036501. [PMID: 36603220 DOI: 10.1088/1361-6633/acb06b] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/27/2022] [Accepted: 01/05/2023] [Indexed: 06/17/2023]
Abstract
We present an overview of recent advances in the study of energy dynamics and mechanisms for energy conversion in qubit systems with special focus on realizations in superconducting quantum circuits. We briefly introduce the relevant theoretical framework to analyze heat generation, energy transport and energy conversion in these systems with and without time-dependent driving considering the effect of equilibrium and non-equilibrium environments. We analyze specific problems and mechanisms under current investigation in the context of qubit systems. These include the problem of energy dissipation and possible routes for its control, energy pumping between driving sources and heat pumping between reservoirs, implementation of thermal machines and mechanisms for energy storage. We highlight the underlying fundamental phenomena related to geometrical and topological properties, as well as many-body correlations. We also present an overview of recent experimental activity in this field.
Collapse
Affiliation(s)
- Liliana Arrachea
- Escuela de Ciencia y Tecnología and ICIFI, Universidad de San Martín, Av. 25 de Mayo y Francia, 1650 Buenos Aires, Argentina
| |
Collapse
|
5
|
Poulsen K, Zinner NT. Dark-state-induced heat rectification. Phys Rev E 2022; 106:034116. [PMID: 36266799 DOI: 10.1103/physreve.106.034116] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/14/2022] [Accepted: 08/15/2022] [Indexed: 06/16/2023]
Abstract
Heat and noise control is essential for the continued development of quantum technologies. For this purpose, a particularly powerful tool is the heat rectifier, which allows for heat transport in one configuration of two baths but not the reverse. Here we propose a class of rectifiers that exploits the unidirectionality of a low temperature bath to force the system into a dark state, thus blocking heat transport in one configuration of the two baths. However, if the two baths are switched around, a heat current is observed. An implementation using a qutrit coupled to two harmonic oscillators is proposed and rectification values beyond 10^{3} are achieved for realistic parameter values. Furthermore, we show that the heat current can be amplified by an order of magnitude through external driving without diminishing the diode functionality. The heat rectification effect is seen for a large range of parameters and it is robust towards both decay and dephasing.
Collapse
Affiliation(s)
- Kasper Poulsen
- Department of Physics and Astronomy, Aarhus University, Ny munkegade 120, 8000 Aarhus C, Denmark
| | - Nikolaj T Zinner
- Department of Physics and Astronomy, Aarhus University, Ny munkegade 120, 8000 Aarhus C, Denmark
| |
Collapse
|
6
|
Dugar P, Chien CC. Geometry-based circulation of local thermal current in quantum harmonic and Bose-Hubbard systems. Phys Rev E 2022; 105:064111. [PMID: 35854609 DOI: 10.1103/physreve.105.064111] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/20/2021] [Accepted: 05/20/2022] [Indexed: 06/15/2023]
Abstract
A geometry-based mechanism for generating steady-state internal circulation of local thermal currents is demonstrated by harmonically coupled quantum oscillators formulated by the Redfield quantum master equation (RQME) and the Bose-Hubbard model (BHM) of phonons formulated by the Lindblad quantum master equation (LQME) using the simple multipath geometry of a triangle. Driven by two reservoirs at different temperatures, both systems can exhibit an atypical local thermal current flowing against the total current. However, the total thermal current behaves normally. While the RQME of harmonically coupled quantum oscillators allows an analytical solution, the LQME of the interacting BHM can be solved numerically. The emergence of the geometry-based circulation in both systems demonstrates the ubiquity and robustness of the mechanism. In the high-temperature limit, the results agree with the classical results, confirming the generality of the geometric-based circulation across the quantum and classical boundary. The geometry-based circulation also emerges from a quantum Langevin equation calculation. Possible experimental implications and applications are briefly discussed.
Collapse
Affiliation(s)
- Palak Dugar
- Department of physics, University of California, Merced, California 95343, USA
| | - Chih-Chun Chien
- Department of physics, University of California, Merced, California 95343, USA
| |
Collapse
|
7
|
Lee KH, Balachandran V, Guo C, Poletti D. Transport and spectral properties of the XX+XXZ diode and stability to dephasing. Phys Rev E 2022; 105:024120. [PMID: 35291148 DOI: 10.1103/physreve.105.024120] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/22/2021] [Accepted: 01/26/2022] [Indexed: 06/14/2023]
Abstract
We study the transport and spectral property of a segmented diode formed by an XX+XXZ spin chain. This system has been shown to become an ideal rectifier for spin current for large enough anisotropy. Here we show numerical evidence that the system in reverse bias has signatures pointing toward the existence of three different transport regimes depending on the value of the anisotropy: ballistic, diffusive, and insulating. In forward bias we observe two regimes, ballistic and diffusive. The system in forward and reverse bias shows significantly different spectral properties, with distribution of rapidities converging toward different functions. In the presence of dephasing the system becomes diffusive, rectification is significantly reduced, the relaxation gap increases, and the spectral properties in forward and reverse bias tend to converge. For large dephasing the relaxation gap decreases again as a result of quantum Zeno physics.
Collapse
Affiliation(s)
- Kang Hao Lee
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Vinitha Balachandran
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Chu Guo
- Henan Key Laboratory of Quantum Information and Cryptography, Zhengzhou, Henan 450000, China
- Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China
| | - Dario Poletti
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
- Engineering Product Development Pillar, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| |
Collapse
|
8
|
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: 8] [Impact Index Per Article: 2.7] [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.
Collapse
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
| | | |
Collapse
|
9
|
Liu YQ, Yu DH, Yu CS. Common Environmental Effects on Quantum Thermal Transistor. ENTROPY (BASEL, SWITZERLAND) 2021; 24:32. [PMID: 35052057 PMCID: PMC8775262 DOI: 10.3390/e24010032] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/23/2021] [Revised: 12/16/2021] [Accepted: 12/22/2021] [Indexed: 11/16/2022]
Abstract
Quantum thermal transistor is a microscopic thermodynamical device that can modulate and amplify heat current through two terminals by the weak heat current at the third terminal. Here we study the common environmental effects on a quantum thermal transistor made up of three strong-coupling qubits. It is shown that the functions of the thermal transistor can be maintained and the amplification rate can be modestly enhanced by the skillfully designed common environments. In particular, the presence of a dark state in the case of the completely correlated transitions can provide an additional external channel to control the heat currents without any disturbance of the amplification rate. These results show that common environmental effects can offer new insights into improving the performance of quantum thermal devices.
Collapse
Affiliation(s)
- Yu-Qiang Liu
- School of Physics, Dalian University of Technology, Dalian 116024, China; (Y.-Q.L.); (D.-H.Y.)
| | - Deng-Hui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, China; (Y.-Q.L.); (D.-H.Y.)
| | - Chang-Shui Yu
- School of Physics, Dalian University of Technology, Dalian 116024, China; (Y.-Q.L.); (D.-H.Y.)
- DUT-BSU Joint Institute, Dalian University of Technology, Dalian 116024, China
| |
Collapse
|
10
|
Lee KH, Balachandran V, Poletti D. Giant rectification in segmented, strongly interacting spin chains despite the presence of perturbations. Phys Rev E 2021; 103:052143. [PMID: 34134308 DOI: 10.1103/physreve.103.052143] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/18/2021] [Accepted: 05/06/2021] [Indexed: 11/07/2022]
Abstract
Balachandran et al. [Phys. Rev. Lett. 120, 200603 (2018)PRLTAO0031-900710.1103/PhysRevLett.120.200603] presented a segmented XXZ spin chain with zero anisotropy in one half and a large anisotropy on the other half that gave rise to a spin current rectification which is perfect in the thermodynamic limit. Here we extend the previous study to segmented chains with interacting integrable as well as nonintegrable halves, considering even cases in which no ballistic transport can emerge in either half. We demonstrate that, also in this more general case, it is possible to obtain giant rectification when the two interacting half chains are sufficiently different. We also show that the mechanism causing this effect is the emergence of an energy gap in the excitation spectrum of the out-of-equilibrium insulating steady state in one of the two biases. Finally, we demonstrate that in the thermodynamic limit there is no perfect rectification when each of the two half chains is interacting.
Collapse
Affiliation(s)
- Kang Hao Lee
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Vinitha Balachandran
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Dario Poletti
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore.,Engineering Product Development Pillar, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| |
Collapse
|
11
|
Kalantar N, Agarwalla BK, Segal D. Harmonic chains and the thermal diode effect. Phys Rev E 2021; 103:052130. [PMID: 34134267 DOI: 10.1103/physreve.103.052130] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2021] [Accepted: 05/05/2021] [Indexed: 06/12/2023]
Abstract
Harmonic oscillator chains connecting two harmonic reservoirs at different constant temperatures cannot act as thermal diodes, irrespective of structural asymmetry. However, here we prove that perfectly harmonic junctions can rectify heat once the reservoirs (described by white Langevin noise) are placed under temperature gradients, which are asymmetric at the two sides, an effect that we term "temperature-gradient harmonic oscillator diodes." This nonlinear diode effect results from the additional constraint-the imposed thermal gradient at the boundaries. We demonstrate the rectification behavior based on the exact analytical formulation of steady-state heat transport in harmonic systems coupled to Langevin baths, which can describe quantum and classical transport, both regimes realizing the diode effect under the involved boundary conditions. Our study shows that asymmetric harmonic systems, such as room-temperature hydrocarbon molecules with varying side groups and end groups, or a linear lattice of trapped ions may rectify heat by going beyond simple boundary conditions.
Collapse
Affiliation(s)
- Na'im Kalantar
- Department of Chemistry, University of Toronto, 80 Saint George Street, Toronto, Ontario, Canada M5S 3H6
| | - Bijay Kumar Agarwalla
- Department of Physics, Doctor Homi Bhabha Road, Indian Institute of Science Education and Research, Pune 411008, India
| | - Dvira Segal
- Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George Street, Toronto, Ontario, Canada M5S 3H6 and Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7
| |
Collapse
|
12
|
Lee KH, Balachandran V, Tan R, Guo C, Poletti D. Giant Spin Current Rectification Due to the Interplay of Negative Differential Conductance and a Non-Uniform Magnetic Field. ENTROPY 2020; 22:e22111311. [PMID: 33287076 PMCID: PMC7711849 DOI: 10.3390/e22111311] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/08/2020] [Revised: 11/06/2020] [Accepted: 11/15/2020] [Indexed: 11/16/2022]
Abstract
In XXZ chains with large enough interactions, spin transport can be significantly suppressed when the bias of the dissipative driving becomes large enough. This phenomenon of negative differential conductance is caused by the formation of two oppositely polarized ferromagnetic domains at the edges of the chain. Here, we show that this many-body effect, combined with a non-uniform magnetic field, can allow for a high degree of control of the spin current. In particular, by studying all of the possible shapes of local magnetic fields potentials, we find that a configuration in which the magnetic field points up for half of the chain and down for the other half, can result in giant spin-current rectification, for example, up to 108 for a system with only 8 spins. Our results show clear indications that the rectification can increase with the system size.
Collapse
Affiliation(s)
- Kang Hao Lee
- Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore;
| | - Vinitha Balachandran
- Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore;
- Correspondence: (V.B.); (D.P.)
| | - Ryan Tan
- Engineering Product Development Pillar, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore;
| | - Chu Guo
- Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China;
| | - Dario Poletti
- Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore;
- Engineering Product Development Pillar, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore;
- Correspondence: (V.B.); (D.P.)
| |
Collapse
|
13
|
Chen T, Balachandran V, Guo C, Poletti D. Steady-state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs. Phys Rev E 2020; 102:012155. [PMID: 32794992 DOI: 10.1103/physreve.102.012155] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/23/2020] [Accepted: 07/02/2020] [Indexed: 11/07/2022]
Abstract
We investigate the transport properties of an anharmonic oscillator, modeled by a single-site Bose-Hubbard model, coupled to two different thermal baths using the numerically exact thermofield based chain-mapping matrix product states (TCMPS) approach. We compare the effectiveness of TCMPS to probe the nonequilibrium dynamics of strongly interacting system irrespective of the system-bath coupling against the global master equation approach in Gorini-Kossakowski-Sudarshan-Lindblad form. We discuss the effect of on-site interactions, temperature bias as well as the system-bath couplings on the steady-state transport properties. Last, we also show evidence of non-Markovian dynamics by studying the nonmonotonicity of the time evolution of the trace distance between two different initial states.
Collapse
Affiliation(s)
- Tianqi Chen
- Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Vinitha Balachandran
- Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Chu Guo
- Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China
| | - Dario Poletti
- Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| |
Collapse
|
14
|
You S, Xiong D, Wang J. Thermal rectification in the thermodynamic limit. Phys Rev E 2020; 101:012125. [PMID: 32069615 DOI: 10.1103/physreve.101.012125] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2019] [Indexed: 11/07/2022]
Abstract
We show that an increasingly strong thermal rectification effect occurs in the thermodynamic limit in a one-dimensional, graded rotor lattice with nearest-neighboring interactions only. The underlying mechanism is related to the transition from normal to abnormal heat conduction behavior observed in the corresponding homogeneous lattices as the temperature decreases. In contrast and in addition to that by invoking long-range interactions, this finding provides a distinct scenario to make the thermal rectification effect robust.
Collapse
Affiliation(s)
- Shunjiang You
- Department of Physics, Key Laboratory of Low Dimensional Condensed Matter Physics (Department of Education of Fujian Province), and Jiujiang Research Institute, Xiamen University, Xiamen 361005, Fujian, China
| | - Daxing Xiong
- School of Science, Jimei University, Xiamen 361021, China and Department of Physics, Fuzhou University, Fuzhou 350108, Fujian, China
| | - Jiao Wang
- Department of Physics, Key Laboratory of Low Dimensional Condensed Matter Physics (Department of Education of Fujian Province), and Jiujiang Research Institute, Xiamen University, Xiamen 361005, Fujian, China
| |
Collapse
|
15
|
Palmero M, Xu X, Guo C, Poletti D. Thermalization with detailed-balanced two-site Lindblad dissipators. Phys Rev E 2019; 100:022111. [PMID: 31574662 DOI: 10.1103/physreve.100.022111] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2019] [Indexed: 06/10/2023]
Abstract
The use of two-site Lindblad dissipators to generate thermal states and study heat transport was raised to prominence by Prosen and Žnidarič [J. Stat. Mech. (2009) P020351742-546810.1088/1742-5468/2009/02/P02035]. Here we propose a variant of this method based on detailed balance of internal levels of the two-site Hamiltonian and characterize its performance. We study the thermalization profile in the chain, the effective temperatures achieved by different single- and two-site observables, and we also investigate the decay of two-time correlations. We find that at a large enough temperature, the steady state approaches closely a thermal state, with a relative error below 1% for the inverse temperature estimated from different observables.
Collapse
Affiliation(s)
- Mikel Palmero
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Xiansong Xu
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Chu Guo
- Zhengzhou Information Science and Technology Institute, Zhengzhou 450004, China
| | - Dario Poletti
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
- Engineering Product Development, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| |
Collapse
|
16
|
Balachandran V, Clark SR, Goold J, Poletti D. Energy Current Rectification and Mobility Edges. PHYSICAL REVIEW LETTERS 2019; 123:020603. [PMID: 31386549 DOI: 10.1103/physrevlett.123.020603] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/03/2018] [Revised: 03/04/2019] [Indexed: 06/10/2023]
Abstract
We investigate how the presence of a single-particle mobility edge in a system can generate strong energy current rectification. Specifically, we study a quadratic bosonic chain subject to a quasiperiodic potential and coupled at its boundaries to spin baths of differing temperature. We find that rectification increases by orders of magnitude depending on the spatial position in the chain of localized eigenstates above the mobility edge. The largest enhancements occur when the coupling of one bath to the system is dominated by a localized eigenstate, while the other bath couples to numerous delocalized eigenstates. By tuning the parameters of the quasiperiodic potential it is thus possible to vary the amplitude, and even invert the direction, of the rectification.
Collapse
Affiliation(s)
- Vinitha Balachandran
- Science and Math Cluster and EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| | - Stephen R Clark
- H.H. Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, United Kingdom
- Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom
- Max Planck Institute for the Structure and Dynamics of Matter, University of Hamburg CFEL, Hamburg 22761, Germany
| | - John Goold
- School of Physics, Trinity College Dublin, Dublin 2, Ireland
| | - Dario Poletti
- Science and Math Cluster and EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
| |
Collapse
|
17
|
Pereira E. Thermal rectification in classical and quantum systems: Searching for efficient thermal diodes. ACTA ACUST UNITED AC 2019. [DOI: 10.1209/0295-5075/126/14001] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
|
18
|
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: 22] [Impact Index Per Article: 4.4] [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.
Collapse
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
| |
Collapse
|
19
|
Xu X, Choo K, Balachandran V, Poletti D. Transport and Energetic Properties of a Ring of Interacting Spins Coupled to Heat Baths. ENTROPY (BASEL, SWITZERLAND) 2019; 21:E228. [PMID: 33266943 PMCID: PMC7514709 DOI: 10.3390/e21030228] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/29/2018] [Revised: 02/01/2019] [Accepted: 02/26/2019] [Indexed: 01/17/2023]
Abstract
We study the heat and spin transport properties in a ring of interacting spins coupled to heat baths at different temperatures. We show that interactions, by inducing avoided crossings, can be a means to tune both the total heat current flowing between the ring and the baths, and the way it flows through the system. In particular, we recognize three regimes in which the heat current flows clockwise, counterclockwise, and in parallel. The temperature bias between the baths also induces a spin current within the ring, whose direction and magnitude can be tuned by the interaction. Lastly, we show how the ergotropy of the nonequilibrium steady state can increase significantly near the avoided crossings.
Collapse
Affiliation(s)
- Xiansong Xu
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore
| | - Kenny Choo
- Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
| | - Vinitha Balachandran
- EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore
| | - Dario Poletti
- Science and Math Cluster, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore
- EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore
- MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, Singapore 117543, Singapore
| |
Collapse
|