1
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Leitch H, Hammam K, De Chiara G. Thermodynamics of hybrid quantum rotor devices. Phys Rev E 2024; 109:024108. [PMID: 38491686 DOI: 10.1103/physreve.109.024108] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2023] [Accepted: 01/19/2024] [Indexed: 03/18/2024]
Abstract
We investigate the thermodynamics of a hybrid quantum device consisting of two qubits collectively interacting with a quantum rotor and coupled dissipatively to two equilibrium reservoirs at different temperatures. By modeling the dynamics and the resulting steady state of the system using a collision model, we identify the functioning of the device as a thermal engine, a refrigerator, or an accelerator. In addition, we also look into the device's capacity to operate as a heat rectifier and optimize both the rectification coefficient and the heat flow simultaneously. Drawing an analogy to heat rectification and since we are interested in the conversion of energy into the rotor's kinetic energy, we introduce the concept of angular momentum rectification, which may be employed to control work extraction through an external load.
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Affiliation(s)
- Heather Leitch
- Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom
| | - Kenza Hammam
- Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom
| | - Gabriele De Chiara
- Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom
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2
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Cavaliere F, Razzoli L, Carrega M, Benenti G, Sassetti M. Hybrid quantum thermal machines with dynamical couplings. iScience 2023; 26:106235. [PMID: 36922994 PMCID: PMC10009053 DOI: 10.1016/j.isci.2023.106235] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/29/2022] [Revised: 01/31/2023] [Accepted: 02/15/2023] [Indexed: 02/22/2023] Open
Abstract
Quantum thermal machines can perform useful tasks, such as delivering power, cooling, or heating. In this work, we consider hybrid thermal machines, that can execute more than one task simultaneously. We characterize and find optimal working conditions for a three-terminal quantum thermal machine, where the working medium is a quantum harmonic oscillator, coupled to three heat baths, with two of the couplings driven periodically in time. We show that it is possible to operate the thermal machine efficiently, in both pure and hybrid modes, and to switch between different operational modes simply by changing the driving frequency. Moreover, the proposed setup can also be used as a high-performance transistor, in terms of output-to-input signal and differential gain. Owing to its versatility and tunability, our model may be of interest for engineering thermodynamic tasks and for thermal management in quantum technologies.
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Affiliation(s)
- Fabio Cavaliere
- Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy.,CNR-SPIN, Via Dodecaneso 33, 16146 Genova, Italy
| | - Luca Razzoli
- Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell'Insubria, via Valleggio 11, 22100 Como, Italy.,Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
| | | | - Giuliano Benenti
- Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell'Insubria, via Valleggio 11, 22100 Como, Italy.,Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy.,NEST, Istituto Nanoscienze-CNR, I-56126 Pisa, Italy
| | - Maura Sassetti
- Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy.,CNR-SPIN, Via Dodecaneso 33, 16146 Genova, Italy
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3
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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: 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.
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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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4
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Simón MA, Alaña A, Pons M, Ruiz-García A, Muga JG. Heat rectification with a minimal model of two harmonic oscillators. Phys Rev E 2021; 103:012134. [PMID: 33601578 DOI: 10.1103/physreve.103.012134] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/20/2020] [Accepted: 01/10/2021] [Indexed: 11/07/2022]
Abstract
We study heat rectification in a minimalistic model composed of two unequal atoms subjected to linear forces and in contact with effective Langevin baths induced by Doppler lasers. Analytic expressions of the heat currents in the steady state are spelled out. Asymmetric heat transport is found in this linear system if both the bath temperatures and the temperature-dependent bath-system couplings are exchanged. The model can be realized with two ions in either common or individual traps. This physical setting allows for a natural temperature dependence of the coupling to the baths. We also explore the parameter space of the model to optimize asymmetric heat current and find conditions for maximal rectification. High rectification corresponds to a good match of the power spectra of the ions for forward temperature bias and mismatch for reverse bias, which may be understood by the behavior of dissipative normal modes.
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Affiliation(s)
- M A Simón
- Departamento de Química-Física, Universidad del País Vasco, UPV/EHU, Bilbao, Spain
| | - A Alaña
- Departamento de Química-Física, Universidad del País Vasco, UPV/EHU, Bilbao, Spain
| | - M Pons
- Departamento de Física Aplicada I, Universidad del País Vasco, UPV/EHU, Bilbao, Spain
| | - A Ruiz-García
- Departamento de Física, Universidad de La Laguna, La Laguna 38203, Spain.,Instituto Universitario de Estudios Avanzados (IUdEA), Universidad de La Laguna, La Laguna 38203, Spain
| | - J G Muga
- Departamento de Química-Física, Universidad del País Vasco, UPV/EHU, Bilbao, Spain
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5
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Roy A, Eckardt A. Design and characterization of a quantum heat pump in a driven quantum gas. Phys Rev E 2020; 101:042109. [PMID: 32422762 DOI: 10.1103/physreve.101.042109] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/16/2019] [Accepted: 03/16/2020] [Indexed: 11/07/2022]
Abstract
We propose the implementation of a quantum heat pump with ultracold atoms. It is based on two periodically driven coherently coupled quantum dots using ultracold atoms. Each dot possesses two relevant quantum states and is coupled to a fermionic reservoir. The working principle is based on energy-selective driving-induced resonant tunneling processes, where a particle that tunnels from one dot to the other either absorbs or emits the energy quantum ℏω associated with the driving frequency, depending on its energy. We characterize the device using Floquet theory and compare simple analytical estimates to numerical simulations based on the Floquet-Born-Markov formalism. In particular, we show that driving-induced heating is directly linked to the micromotion of the Floquet states of the system.
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Affiliation(s)
- Arko Roy
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.,INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, 38123 Trento, Italy
| | - André Eckardt
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.,Technische Universität Berlin, Institut für Theoretische Physik, Hardenbergstraße 36, 10623 Berlin, Germany
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6
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Peyrard M. Comment on "Dynamically induced heat rectification in quantum systems". Phys Rev E 2020; 101:016101. [PMID: 32069663 DOI: 10.1103/physreve.101.016101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2019] [Indexed: 06/10/2023]
Abstract
The article by Riera-Campeny, Mehboudi, Pons, and Sanpera [Phys. Rev. E 99, 032126 (2019)2470-004510.1103/PhysRevE.99.032126] studies heat rectification in a network of harmonic oscillators which is periodically driven. Both the title and introduction stress the quantum nature of the system. Here we show that the results are more general and are equally valid for a classical system, which broadens the interest of the paper and may suggest further pathways for a basic understanding of the phenomenon.
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Affiliation(s)
- Michel Peyrard
- Université de Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France
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7
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Simón MA, Martínez-Garaot S, Pons M, Muga JG. Asymmetric heat transport in ion crystals. Phys Rev E 2019; 100:032109. [PMID: 31640036 DOI: 10.1103/physreve.100.032109] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/28/2019] [Indexed: 06/10/2023]
Abstract
We numerically demonstrate heat rectification for linear chains of ions in trap lattices with graded trapping frequencies, in contact with thermal baths implemented by optical molasses. To calculate the local temperatures and heat currents we find the stationary state by solving a system of algebraic equations. This approach is much faster than the usual method that integrates the dynamical equations of the system and averages over noise realizations.
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Affiliation(s)
- M A Simón
- Departamento de Química-Física, Universidad del País Vasco (UPV/EHU), Bilbao, Spain
| | - S Martínez-Garaot
- Departamento de Química-Física, Universidad del País Vasco (UPV/EHU), Bilbao, Spain
| | - M Pons
- Departamento de Física Aplicada I, Universidad del País Vasco (UPV/EHU), Bilbao, Spain
| | - J G Muga
- Departamento de Química-Física, Universidad del País Vasco (UPV/EHU), Bilbao, Spain
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