1
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Souza LDS, Manzano G, Fazio R, Iemini F. Collective effects on the performance and stability of quantum heat engines. Phys Rev E 2022; 106:014143. [PMID: 35974546 DOI: 10.1103/physreve.106.014143] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/12/2022] [Accepted: 06/07/2022] [Indexed: 06/15/2023]
Abstract
Recent predictions for quantum-mechanical enhancements in the operation of small heat engines have raised renewed interest in their study both from a fundamental perspective and in view of applications. One essential question is whether collective effects may help to carry enhancements over larger scales, when increasing the number of systems composing the working substance of the engine. Such enhancements may consider not only power and efficiency, that is, its performance, but, additionally, its constancy, that is, the stability of the engine with respect to unavoidable environmental fluctuations. We explore this issue by introducing a many-body quantum heat engine model composed by spin pairs working in continuous operation. We study how power, efficiency, and constancy scale with the number of spins composing the engine and introduce a well-defined macroscopic limit where analytical expressions are obtained. Our results predict power enhancements, in both finite-size and macroscopic cases, for a broad range of system parameters and temperatures, without compromising the engine efficiency, accompanied by coherence-enhanced constancy for finite sizes. We discuss these quantities in connection to thermodynamic uncertainty relations.
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Affiliation(s)
- Leonardo da Silva Souza
- Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, Brazil
- Departamento de Física, ICEx, Universidade Federal de Minas Gerais, Av. Pres. Antônio Carlos 6627, Belo Horizonte Minas Gerais 31270-901, Brazil
| | - Gonzalo Manzano
- Institute for Cross-Disciplinary Physics and Complex Systems (IFISC) UIB-CSIC, Campus Universitat Illes Balears, E-07122 Palma de Mallorca, Spain
- Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria
| | - Rosario Fazio
- International Centre for Theoretical Physics (ICTP), Strada Costiera 11, I-34151, Trieste, Italy
- Dipartimento di Fisica, Università di Napoli "Federico II," Monte S. Angelo, I-80126 Naples, Italy
| | - Fernando Iemini
- Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, Brazil
- International Centre for Theoretical Physics (ICTP), Strada Costiera 11, I-34151, Trieste, Italy
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2
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Li L, Man ZX, Xia YJ. Steady-State Thermodynamics of a Cascaded Collision Model. ENTROPY (BASEL, SWITZERLAND) 2022; 24:644. [PMID: 35626529 PMCID: PMC9140471 DOI: 10.3390/e24050644] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/27/2022] [Revised: 04/30/2022] [Accepted: 05/01/2022] [Indexed: 02/06/2023]
Abstract
We study the steady-state thermodynamics of a cascaded collision model where two subsystems S1 and S2 collide successively with an environment R in the cascaded fashion. We first formulate general expressions of thermodynamics quantities and identify the nonlocal forms of work and heat that result from cascaded interactions of the system with the common environment. Focusing on a concrete system of two qubits, we then show that, to be able to unidirectionally influence the thermodynamics of S2, the former interaction of S1-R should not be energy conserving. We finally demonstrate that the steady-state coherence generated in the cascaded model is a kind of useful resource in extracting work, quantified by ergotropy, from the system. Our results provide a comprehensive understanding on the thermodynamics of the cascaded model and a possible way to achieve the unidirectional control on the thermodynamics process in the steady-state regime.
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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; (L.L.); (Y.-J.X.)
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3
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Ivander F, Anto-Sztrikacs N, Segal D. Strong system-bath coupling effects in quantum absorption refrigerators. Phys Rev E 2022; 105:034112. [PMID: 35428056 DOI: 10.1103/physreve.105.034112] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/09/2021] [Accepted: 02/16/2022] [Indexed: 06/14/2023]
Abstract
We study the performance of three-level quantum absorption refrigerators, paradigmatic autonomous quantum thermal machines, and reveal central impacts of strong couplings between the working system and the thermal baths. Using the reaction coordinate quantum master equation method, which treats system-bath interactions beyond weak coupling, we demonstrate that in a broad range of parameters the cooling window at strong coupling can be captured by a weak-coupling theory, albeit with parameters renormalized by the system-bath coupling energy. As a result, at strong system-bath couplings the window of cooling is significantly reshaped compared to predictions of weak-coupling treatments. We further show that strong coupling admits direct transport pathways between the thermal reservoirs. Such beyond-second-order transport mechanisms are typically detrimental to the performance of quantum thermal machines. Our study reveals that it is inadequate to claim for either a suppression or an enhancement of the cooling performance as one increases system-bath coupling-when analyzed against a single parameter and in a limited domain. Rather, a comprehensive approach should be adopted so as to uncover the reshaping of the operational window.
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Affiliation(s)
- Felix Ivander
- Chemical Physics Theory Group, Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George St., Toronto, Ontario, Canada M5S 3H6
| | - Nicholas Anto-Sztrikacs
- Department of Physics, 60 Saint George St., University of Toronto, Toronto, Ontario, Canada M5S 1A7
| | - Dvira Segal
- Chemical Physics Theory Group, Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George St., Toronto, Ontario, Canada M5S 3H6
- Department of Physics, 60 Saint George St., University of Toronto, Toronto, Ontario, Canada M5S 1A7
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4
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Saryal S, Gerry M, Khait I, Segal D, Agarwalla BK. Universal Bounds on Fluctuations in Continuous Thermal Machines. PHYSICAL REVIEW LETTERS 2021; 127:190603. [PMID: 34797144 DOI: 10.1103/physrevlett.127.190603] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2021] [Revised: 06/07/2021] [Accepted: 09/27/2021] [Indexed: 06/13/2023]
Abstract
We study bounds on ratios of fluctuations in steady-state time-reversal energy conversion devices. In the linear response regime, we prove that the relative fluctuations (precision) of the output current (power) is always lower bounded by the relative fluctuations of the input current (heat current absorbed from the hot bath). As a consequence, the ratio between the fluctuations of the output and input currents are bounded both from above and below, where the lower (upper) bound is determined by the square of the averaged efficiency (square of the Carnot efficiency) of the engine. The saturation of the lower bound is achieved in the tight-coupling limit when the determinant of the Onsager response matrix vanishes. Our analysis can be applied to different operational regimes, including engines, refrigerators, and heat pumps. We illustrate our findings in two types of continuous engines: two-terminal coherent thermoelectric junctions and three-terminal quantum absorption refrigerators. Numerical simulations in the far-from-equilibrium regime suggest that these bounds apply more broadly, beyond linear response.
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Affiliation(s)
- Sushant Saryal
- Department of Physics, Indian Institute of Science Education and Research, Pune 411008, India
| | - Matthew Gerry
- Department of Physics, University of Toronto, 60 Saint George Street, Toronto, Ontario M5S 1A7, Canada
| | - Ilia Khait
- Department of Physics, University of Toronto, 60 Saint George Street, Toronto, Ontario M5S 1A7, Canada
| | - Dvira Segal
- Department of Physics, University of Toronto, 60 Saint George Street, Toronto, Ontario M5S 1A7, Canada
- Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George Street, Toronto, Ontario M5S 3H6, Canada
| | - Bijay Kumar Agarwalla
- Department of Physics, Indian Institute of Science Education and Research, Pune 411008, India
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5
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Jiao G, Zhu S, He J, Ma Y, Wang J. Fluctuations in irreversible quantum Otto engines. Phys Rev E 2021; 103:032130. [PMID: 33862833 DOI: 10.1103/physreve.103.032130] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2020] [Accepted: 03/01/2021] [Indexed: 11/07/2022]
Abstract
We derive the general probability distribution function of stochastic work for quantum Otto engines in which both the isochoric and driving processes are irreversible due to finite time duration. The time-dependent work fluctuations, average work, and thermodynamic efficiency are explicitly obtained for a complete cycle operating with an analytically solvable two-level system. The effects of the irreversibility originating from finite-time cycle operation on the thermodynamic efficiency, work fluctuations, and relative power fluctuations are discussed.
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Affiliation(s)
- Guangqian Jiao
- Department of Physics, Nanchang University, Nanchang 330031, China
| | - Shoubao Zhu
- Department of Physics, Nanchang University, Nanchang 330031, China
| | - Jizhou He
- Department of Physics, Nanchang University, Nanchang 330031, China
| | - Yongli Ma
- State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China
| | - Jianhui Wang
- Department of Physics, Nanchang University, Nanchang 330031, China.,State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China
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6
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Liu J, Segal D. Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators. Phys Rev E 2021; 103:032138. [PMID: 33862758 DOI: 10.1103/physreve.103.032138] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2020] [Accepted: 03/04/2021] [Indexed: 11/07/2022]
Abstract
The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a tradeoff relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines. Here, we examine the interplay of quantum system coherences and heat current fluctuations on the validity of the thermodynamics uncertainty relation in the quantum regime. To achieve the current statistics, we perform a full counting statistics simulation of the Redfield quantum master equation. We focus on steady-state quantum absorption refrigerators where nonzero coherence between eigenstates can either suppress or enhance the cooling power, compared with the incoherent limit. In either scenario, we find enhanced relative noise of the cooling power (standard deviation of the power over the mean) in the presence of system coherence, thereby corroborating the thermodynamic uncertainty relation. Our results indicate that fluctuations necessitate consideration when assessing the performance of quantum coherent thermal machines.
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Affiliation(s)
- Junjie Liu
- Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George Street, Toronto, Ontario, M5S 3H6, Canada
| | - Dvira Segal
- Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George Street, Toronto, Ontario, M5S 3H6, Canada.,Department of Physics, 60 Saint George Street, University of Toronto, Toronto, Ontario, Canada M5S 1A7
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7
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Chand S, Dasgupta S, Biswas A. Finite-time performance of a single-ion quantum Otto engine. Phys Rev E 2021; 103:032144. [PMID: 33862721 DOI: 10.1103/physreve.103.032144] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2020] [Accepted: 03/02/2021] [Indexed: 06/12/2023]
Abstract
We study how a quantum heat engine based on a single trapped ion performs in finite time. The always-on thermal environment acts like the hot bath, while the motional degree of freedom of the ion plays the role of the effective cold bath. The hot isochoric stroke is implemented via the interaction of the ion with its hot environment, while a projective measurement of the internal state of the ion is performed as an equivalent to the cold isochoric stroke. The expansion and compression strokes are implemented via suitable change in applied magnetic field. We study in detail how the finite duration of each stroke affects the engine performance. We show that partial thermalization can in fact enhance the efficiency of the engine, due to the residual coherence, whereas faster expansion and compression strokes increase the inner friction and therefore reduce the efficiency.
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Affiliation(s)
- Suman Chand
- Department of Physics, Indian Institute of Technology Ropar, Rupnagar, Punjab 140001, India
| | - Shubhrangshu Dasgupta
- Department of Physics, Indian Institute of Technology Ropar, Rupnagar, Punjab 140001, India
| | - Asoka Biswas
- Department of Physics, Indian Institute of Technology Ropar, Rupnagar, Punjab 140001, India
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8
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Dann R, Kosloff R, Salamon P. Quantum Finite-Time Thermodynamics: Insight from a Single Qubit Engine. ENTROPY (BASEL, SWITZERLAND) 2020; 22:E1255. [PMID: 33287023 PMCID: PMC7712823 DOI: 10.3390/e22111255] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 09/06/2020] [Revised: 10/29/2020] [Accepted: 11/01/2020] [Indexed: 02/01/2023]
Abstract
Incorporating time into thermodynamics allows for addressing the tradeoff between efficiency and power. A qubit engine serves as a toy model in order to study this tradeoff from first principles, based on the quantum theory of open systems. We study the quantum origin of irreversibility, originating from heat transport, quantum friction, and thermalization in the presence of external driving. We construct various finite-time engine cycles that are based on the Otto and Carnot templates. Our analysis highlights the role of coherence and the quantum origin of entropy production.
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Affiliation(s)
- Roie Dann
- The Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel;
| | - Ronnie Kosloff
- The Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel;
| | - Peter Salamon
- Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182-7720, USA;
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9
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Hewgill A, González JO, Palao JP, Alonso D, Ferraro A, De Chiara G. Three-qubit refrigerator with two-body interactions. Phys Rev E 2020; 101:012109. [PMID: 32069534 DOI: 10.1103/physreve.101.012109] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/09/2019] [Indexed: 06/10/2023]
Abstract
We propose a three-qubit setup for the implementation of a variety of quantum thermal machines where all heat fluxes and work production can be controlled. An important configuration that can be designed is that of an absorption refrigerator, extracting heat from the coldest reservoir without the need of external work supply. Remarkably, we achieve this regime by using only two-body interactions instead of the widely employed three-body interactions. This configuration could be more easily realized in current experimental setups. We model the open-system dynamics with both a global and a local master equation thermodynamic-consistent approach. Finally, we show how this model can be employed as a heat valve, in which by varying the local field of one of the two qubits allows one to control and amplify the heat current between the other qubits.
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Affiliation(s)
- Adam Hewgill
- Centre for Theoretical Atomic, Molecular and Optical Physics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom
| | - J Onam González
- Dpto. de Física and IUdEA: Instituto Universitario de Estudios Avanzados, Universidad de La Laguna, 38203 Spain
| | - José P Palao
- Dpto. de Física and IUdEA: Instituto Universitario de Estudios Avanzados, Universidad de La Laguna, 38203 Spain
| | - Daniel Alonso
- Dpto. de Física and IUdEA: Instituto Universitario de Estudios Avanzados, Universidad de La Laguna, 38203 Spain
| | - Alessandro Ferraro
- Centre for Theoretical Atomic, Molecular and Optical Physics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom
| | - Gabriele De Chiara
- Centre for Theoretical Atomic, Molecular and Optical Physics, Queen's University Belfast, Belfast BT7 1NN, United Kingdom
- Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université de Montpellier, F-34095 Montpellier, France
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10
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Friedman HM, Segal D. Cooling condition for multilevel quantum absorption refrigerators. Phys Rev E 2019; 100:062112. [PMID: 31962400 DOI: 10.1103/physreve.100.062112] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2019] [Indexed: 06/10/2023]
Abstract
Models for quantum absorption refrigerators serve as test beds for exploring concepts and developing methods in quantum thermodynamics. Here we depart from the minimal, ideal design and consider a generic multilevel model for a quantum absorption refrigerator, which potentially suffers from lossy processes. Based on a full-counting statistics approach, we derive a formal cooling condition for the refrigerator, which can be feasibly evaluated analytically and numerically. We exemplify our approach on a three-level model for a quantum absorption refrigerator that suffers from different forms of nonideality (heat leakage, competition between different cooling pathways) and examine the cooling current with different designs. This study assists in identifying the cooling window of imperfect thermal machines.
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Affiliation(s)
- Hava Meira Friedman
- Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6
| | - Dvira Segal
- Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6
- Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7
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11
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González JO, Palao JP, Alonso D, Correa LA. Classical emulation of quantum-coherent thermal machines. Phys Rev E 2019; 99:062102. [PMID: 31330638 DOI: 10.1103/physreve.99.062102] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2018] [Indexed: 06/10/2023]
Abstract
The performance enhancements observed in various models of continuous quantum thermal machines have been linked to the buildup of coherences in a preferred basis. But is this connection always an evidence of "quantum-thermodynamic supremacy"? By force of example, we show that this is not the case. In particular, we compare a power-driven three-level continuous quantum refrigerator with a four-level combined cycle, partly driven by power and partly by heat. We focus on the weak driving regime and find the four-level model to be superior since it can operate in parameter regimes in which the three-level model cannot and it may exhibit a larger cooling rate and, simultaneously, a better coefficient of performance. Furthermore, we find that the improvement in the cooling rate matches the increase in the stationary quantum coherences exactly. Crucially, though, we also show that the thermodynamic variables for both models follow from a classical representation based on graph theory. This implies that we can build incoherent stochastic-thermodynamic models with the same steady-state operation or, equivalently, that both coherent refrigerators can be emulated classically. More generally, we prove this for any N-level weakly driven device with a "cyclic" pattern of transitions. Therefore, even if coherence is present in a specific quantum thermal machine, it is often not essential to replicate the underlying energy conversion process.
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Affiliation(s)
- J Onam González
- Departamento de Física, Universidad de La Laguna, La Laguna 38204, Spain
- IUdEA, Universidad de La Laguna, La Laguna 38204, Spain
| | - José P Palao
- Departamento de Física, Universidad de La Laguna, La Laguna 38204, Spain
- IUdEA, Universidad de La Laguna, La Laguna 38204, Spain
| | - Daniel Alonso
- Departamento de Física, Universidad de La Laguna, La Laguna 38204, Spain
- IUdEA, Universidad de La Laguna, La Laguna 38204, Spain
| | - Luis A Correa
- School of Mathematical Sciences and CQNE, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
- Kavli Institute for Theoretical Physics University of California, Santa Barbara, CA 93106, USA
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12
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Manzano G, Silva R, Parrondo JMR. Autonomous thermal machine for amplification and control of energetic coherence. Phys Rev E 2019; 99:042135. [PMID: 31108722 DOI: 10.1103/physreve.99.042135] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2017] [Indexed: 06/09/2023]
Abstract
We present a model for an autonomous quantum thermal machine composed of two qubits capable of manipulating and even amplifying the local coherence in a nondegenerate external system. The machine uses only thermal resources, namely, contact with two heat baths at different temperatures, and the external system has a nonzero initial amount of coherence. The method we propose allows for an interconversion between energy, both work and heat, and coherence in an autonomous configuration working in out-of-equilibrium conditions. This model raises interesting questions about the role of fundamental limitations on transformations involving coherence and opens up new possibilities in the manipulation of coherence by autonomous thermal machines.
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Affiliation(s)
- Gonzalo Manzano
- Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy
- International Center for Theoretical Physics ICTP, Strada Costiera 11, I-34151 Trieste, Italy
| | - Ralph Silva
- Group Département de Physique Appliqueè, Université de Genève, 1211 Genève, Switzerland
- Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland
| | - Juan M R Parrondo
- Departamento de Física Atómica, Molecular y Nuclear and GISC, Universidad Complutense Madrid, 28040 Madrid, Spain
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13
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Kilgour M, Segal D. Coherence and decoherence in quantum absorption refrigerators. Phys Rev E 2018; 98:012117. [PMID: 30110858 DOI: 10.1103/physreve.98.012117] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/27/2018] [Indexed: 06/08/2023]
Abstract
Absorption refrigerators transfer thermal energy from a cold reservoir to a hot reservoir using input energy from a third, so-called work reservoir. We examine the operation of quantum absorption refrigerators when coherences between eigenstates survive in the steady state limit. In our model, the working medium comprises a discrete, four-level system. Several studies on related setups have demonstrated the performance-enhancing potential of steady-state eigenbasis quantum coherences. By contrast, in our model such coherences generally quench the cooling current in the refrigerator, while minimally affecting the coefficient of performance (cooling efficiency). We rationalize the behavior of the four-level refrigerator by studying three-level model systems for energy transport and refrigeration. Our calculations further illuminate the shortcomings of secular quantum master equations and the necessity of employing dynamical equations of motion that retain couplings between population and coherences.
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Affiliation(s)
- Michael Kilgour
- Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto, 80 Saint George Street, Toronto, Ontario, Canada M5S 3H6
| | - 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
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14
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Abstract
Absorption refrigerators transfer thermal energy from a cold bath to a hot bath without input power by utilizing heat from an additional "work" reservoir. Particularly interesting is a three-level design for a quantum absorption refrigerator, which can be optimized to reach the maximal (Carnot) cooling efficiency. Previous studies of three-level chillers focused on the behavior of the averaged cooling current. Here, we go beyond that and study the full counting statistics of heat exchange in a three-level chiller model. We explain how to obtain the complete cumulant generating function of the refrigerator in a steady state, then derive a partial cumulant generating function, which yields closed-form expressions for both the averaged cooling current and its noise. Our analytical results and simulations are beneficial for the design of nanoscale engines and cooling systems far from equilibrium, with their performance optimized according to different criteria, efficiency, power, fluctuations, and dissipation.
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Affiliation(s)
- 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
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15
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Gonzalez-Ayala J, Medina A, Roco JMM, Hernández AC. Entropy generation and unified optimization of Carnot-like and low-dissipation refrigerators. Phys Rev E 2018; 97:022139. [PMID: 29548120 DOI: 10.1103/physreve.97.022139] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2017] [Indexed: 06/08/2023]
Abstract
The connection between Carnot-like and low-dissipation refrigerators is proposed by means of their entropy generation and the optimization of two unified, compromise-based figures of merit. Their optimization shows that only a limited set of heat transfer laws in the Carnot-like model are compatible with the results stemming from the low-dissipation approximation, even though there is an agreement of the related physical spaces of variables. A comparison between two operation regimes and relations among entropy generation, efficiency, cooling power. and power input are obtained, with emphasis on the role of dissipation symmetries. The results extend previous findings for heat engines at maximum power conditions.
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Affiliation(s)
| | - A Medina
- Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain
| | - J M M Roco
- Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain
- Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM) Universidad de Salamanca, 37008 Salamanca, Spain
| | - A Calvo Hernández
- Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain
- Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM) Universidad de Salamanca, 37008 Salamanca, Spain
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18
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Gonzalez-Ayala J, Calvo Hernández A, Roco JMM. From maximum power to a trade-off optimization of low-dissipation heat engines: Influence of control parameters and the role of entropy generation. Phys Rev E 2017; 95:022131. [PMID: 28297927 DOI: 10.1103/physreve.95.022131] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2016] [Indexed: 06/06/2023]
Abstract
For a low-dissipation heat engine model we present the role of the partial contact times and the total operational time as control parameters to switch from maximum power state to maximum Ω trade-off state. The symmetry of the dissipation coefficients may be used in the design of the heat engine to offer, in such switching, a suitable compromise between efficiency gain, power losses, and entropy change. Bounds for entropy production, efficiency, and power output are presented for transitions between both regimes. In the maximum power and maximum Ω trade-off cases the relevant space of parameters are analyzed together with the configuration of minimum entropy production. A detailed analysis of the parameter's space shows physically prohibited regions in which there is no longer a heat engine and another region that is physically well behaved but is not suitable for possible optimization criteria.
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Affiliation(s)
| | - A Calvo Hernández
- Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain
| | - J M M Roco
- Departamento de Física Aplicada and Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca, 37008 Salamanca, Spain
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19
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Quantum Thermodynamics in Strong Coupling: Heat Transport and Refrigeration. ENTROPY 2016. [DOI: 10.3390/e18050186] [Citation(s) in RCA: 48] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
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20
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Performance of Continuous Quantum Thermal Devices Indirectly Connected to Environments. ENTROPY 2016. [DOI: 10.3390/e18050166] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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22
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