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We study the optimal performance of a three-level quantum refrigerator using two different objective functions: cooling power and $\chi$-function. For both cases, we obtain general expressions for the coefficient of performance (COP) and…

Statistical Mechanics · Physics 2020-07-01 Varinder Singh , Tanmoy Pandit , Ramandeep S. Johal

This paper focuses on the coefficient of performance (COP) at maximum figure of merit $\chi$ for a Brownian Carnot-like refrigerator, within the context of symmetric Low-Dissipation approach. Our proposal is based on the Langevin equation…

Statistical Mechanics · Physics 2024-02-09 O. Contreras-Vergara , G. Valencia-Ortega , N. Sánchez-Salas , J. I. Jiménez-Aquino

We study the coefficient of performance (COP) and its bounds of the Canot-like refrigerator working between two heat reservoirs at constant temperatures $T_h$ and $T_c$, under two optimization criteria $\chi$ and $\Omega$. In view of the…

Statistical Mechanics · Physics 2015-06-16 Yong Hu , Feifei Wu , Yongli Ma , Jizhou He , Jianhui Wang , A. Calvo Hernandez , J. M. M. Roco

The figure of merit for refrigerators performing finite-time Carnot-like cycles between two reservoirs at temperature $T_h$ and $T_c$ ($<T_h$) is optimized. It is found that the coefficient of performance at maximum figure of merit is…

Statistical Mechanics · Physics 2012-07-26 Yang Wang , Mingxing Li , Z. C. Tu , A. Calvo Hernández , J. M. M. Roco

The present work investigates the generalized extreme bounds of the coefficient of performance (COP) for the power law dissipative Carnot-like refrigerator in the presence of non-adiabatic dissipation under $\chi$ and $\dot{\Omega}$…

Statistical Mechanics · Physics 2021-11-03 K. Nilavarasi , M. Ponmurugan

The \chi-criterion is defined as the product of the energy conversion efficiency and the heat absorbed per-unit-time by the working substance [de Tom\'as et al., Phys. Rev. E, 85 (2012) 010104(R)]. The \chi-criterion for Feynman ratchet as…

Statistical Mechanics · Physics 2015-06-18 Shiqi Sheng , Pan Yang , Z. C. Tu

A unified $\chi$-criterion for heat devices (including heat engines and refrigerators) which is defined as the product of the energy conversion efficiency and the heat absorbed per unit time by the working substance [de Tom\'{a}s \emph{et…

Statistical Mechanics · Physics 2015-03-13 Shiqi Sheng , Z. C. Tu

We study the optimal performance of a three-level quantum refrigerator using a trade-off objective function, $\Omega$ function, which represents a compromise between the energy benefits and the energy losses of a thermal device. First, we…

We study a refrigerator model which consists of two $n$-level systems interacting via a pulsed external field. Each system couples to its own thermal bath at temperatures $T_h$ and $T_c$, respectively ($\theta\equiv T_c/T_h<1$). The…

Statistical Mechanics · Physics 2015-05-19 Armen E. Allahverdyan , Karen Hovhannisyan , Guenter Mahler

We study a refrigerator model which consists of two $n$-level systems interacting via a pulsed external field. Each system couples to its own thermal bath at temperatures $T_h$ and $T_c$, respectively ($\theta\equiv T_c/T_h<1$). The…

Statistical Mechanics · Physics 2009-06-16 Armen E. Allahverdyan , Karen Hovhannisyan , Guenter Mahler

We consider a quantum Otto cycle operating between two squeezed thermal reservoirs. The influences of the squeezing degree on the optimization performance of quantum Otto heat engines and refrigerators are investigated. We demonstrate that…

Quantum Physics · Physics 2019-04-01 Yanchao Zhang

Indefinite causal order (ICO) is playing a key role in recent quantum technologies. Here, we experimentally study quantum thermodynamics driven by ICO on nuclear spins using the nuclear magnetic resonance system. We realize the ICO of two…

We derive cooling rate and coefficient of performance as well as their variances for a quantum Otto engine proceeding in finite-time cycle period. This machine consists of two driven strokes, where the system isolated from the heat…

Statistical Mechanics · Physics 2021-08-11 Guangqian Jiao , Shoubao Zhu , Jizhou He , Yongli Ma , Jianhui Wang

The derivation of general performance benchmarks is important in the design of highly optimized heat engines and refrigerators. To obtain them, one may model phenomenologically the leading sources of irreversibility ending up with results…

Quantum Physics · Physics 2015-01-06 Luis A. Correa , José P. Palao , Gerardo Adesso , Daniel Alonso

An implementation of quantum absorption chillers with three qubits has been recently proposed, that is ideally able to reach the Carnot performance regime. Here we study the working efficiency of such self-contained refrigerators, adopting…

Quantum Physics · Physics 2013-04-30 Luis A. Correa , José P. Palao , Gerardo Adesso , Daniel Alonso

A simplified analytical model of single-level quantum dot (QD) refrigerator was studied without considering the electron spin and Coulomb interaction. Based on the ballistic transport of electrons between two reservoirs across the QD, the…

Mesoscale and Nanoscale Physics · Physics 2021-10-18 Xiaolong Liu , Xiaoguang Luo , Chengyun Hong , Zhen Bao , Yong Ding , Jianxi Yao , Songyuan Dai

We have studied the single particle heat engine and refrigerator driven by time asymmetric protocol of finite duration. Our system consists of a particle in a harmonic trap with time-periodic strength that drives the particle cyclically…

Statistical Mechanics · Physics 2016-12-21 P. S. Pal , Arnab Saha , A. M. Jayannavar

We analyze the steady-state formalism for optimizing the cooling power of a thermoelectric refrigerator (TER), unifying the endoreversible and exoreversible approximations within one framework. Although the cooling power is non-optimizable…

Statistical Mechanics · Physics 2026-04-14 Rajeshree Chakraborty , Ramandeep S. Johal

We analytically derive maximum efficiency at given cooling power for Carnot-type low-dissipation refrigerators. The corresponding optimal cycle duration depends on a single parameter, which is a specific combination of irreversibility…

Statistical Mechanics · Physics 2020-05-27 Viktor Holubec , Zhuolin Ye

We study a quantum absorption refrigerator, in which a target qubit is cooled by two machine qubits in a nonequilibrium steady state. It is realized by a strong internal coupling in the two-qubit fridge and a vanishing tripartite…

Quantum Physics · Physics 2018-06-06 Jian-Ying Du , Fu-Lin Zhang
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