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Journal of Applied Physics

Exploiting positive work and efficiency of quantum Otto engine based on two coupled two-level atomic systems: Local vs global approach

Hao Wang

Published Sep 17, 2025• 0 citations
Publisher

Abstract

We developed a model of a quantum Otto engine using two dipole-coupled two-level atoms. Based on the platform, we focus on fundamental thermodynamic quantities, including heat absorption, release to heat baths, work done, and efficiency. The characteristic of the engine either for the case of identical as well as non-identical two two-level atoms is investigated under the influence of average frequency, frequency detuning, and coupling strength. The conditions for the efficiency to be higher than in the noninteracting case are found. A tighter upper bound for the efficiency is found, which is lower than the Carnot limit. The second law of thermodynamics holds all the while. Our findings represent a step forward in the design of quantum thermodynamic devices, which take advantage of quantum resources.

DOI
10.1063/5.0287732

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We developed a model of a quantum Otto engine using two dipole-coupled two-level atoms. Based on the platform, we focus on fundamental thermodynamic quantities, including heat absorption, release to heat baths, work done, and efficiency. The characteristic of the engine either for the case of identical as well as non-identical two two-level atoms is investigated under the influence of average frequency, frequency detuning, and coupling strength. The conditions for the efficiency to be higher than in the noninteracting case are found. A tighter upper bound for the efficiency is found, which is lower than the Carnot limit. The second law of thermodynamics holds all the while. Our findings represent a step forward in the design of quantum thermodynamic devices, which take advantage of quantum resources.
Abstract We developed a model of a quantum Otto engine using two coupled two-level atoms. Based on the platform, we show that frequency detuning and the coupling strength induced by dipole-dipole interactions can lead to decoherence by disrupting coherent energy exchange. We focus on fundamental thermodynamic quantities, including heat absorption, release to heat baths, work done and efficiency. It is noteworthy that the interatomic coupling strength and frequency detuning do not merely affect the shape of the work and the efficiency but ultimately govern its quantitative magnitude. In the field of quantum thermodynamics, we have established an upper bound efficiency that is stricter than the Carnot limit. Moreover, our analysis confirms that quantum coherence enables the system to exceed the efficiency threshold of a classical Otto heat engine. The second law of thermodynamics holds all the while. Our results constitute a step forward in the design of conceptually new quantum thermodynamic devices which take advantage of uniquely quantum resources of quantum coherence.
The simple system of two two-level identical atoms couple to single-mode optical cavity in the resonance case is studied for investigating the thermal entanglement. It is interesting to see that the critical temperature is only dependent on the coefficient of atom-atom dipole-dipole interaction. Based on the mode, we construct and investigate a entangled quantum Otto engine (QOE). Expressions for several important performance parameters such as the heat transferred, the work done in a cycle, and the efficiency of the entangled QOE in zero G are derived in terms of thermal concurrence. Some intriguing features and their qualitative explanations are given. Furthermore, the validity of the second law of thermodynamics is confirmed in the entangled QOE. The results obtained here have general significance and will be helpful to understand deeply the performance of an entangled QOE.
Abstract A scheme is theoretically proposed to investigate a quantum Otto engine (QOE) based on cavity quantum electrodynamics (QED) systems, where the working substance consists of a single‐mode optical cavity coupled to either one or two identical two‐level atoms, corresponding to the Jaynes–Cummings (JC) and Tavis–Cummings (TC) models, respectively. These results show that quantum coherence can enhance the efficiency of the quantum Otto heat engine (QOHE) and that the QOE can operate in various thermodynamic modes, such as a heat engine, refrigerator, or heater. Building on these two cavity QED models, it is further demonstrated that increasing the number of atoms leads to an exponential enhancement in the work output of the QOHE. Finally, a localized quantum engine is analyzed by tracing out one of the atoms in the TC model and show that the local system can achieve an efficiency comparable to that of the global system. This work establishes a novel theoretical framework for understanding and optimizing the performance of quantum heat engines in cavity QED platforms.
The second law of thermodynamics holds that the efficiency of heat engines, classical or quantum, cannot be greater than the universal Carnot efficiency. We discover another bound for the efficiency of a quantum Otto heat engine consisting of a harmonic oscillator. Dynamics of the engine is governed by the Lindblad equation for the density matrix, which is mapped to the Fokker-Planck equation for the quasiprobability distribution. Applying stochastic thermodynamics to the Fokker-Planck equation system, we obtain the ℏ-dependent quantum mechanical bound for the efficiency. It turns out that the bound is tighter than the Carnot efficiency. The engine achieves the bound in the low-temperature limit where quantum effects dominate. Our work demonstrates that quantum nature could suppress the performance of heat engines in terms of efficiency bound, work, and power output.
This paper establishes an entangled otto quantum heat engine(EQHE) working with the two-qubit anisotropic Heisenberg XXZ model.Based on the first law of quantum thermodynamics,we derive the expressions for the net work and the efficiency of EQHE.By numerical calculation we plot three dimensional graphics between the efficiency and the concurrence.It is found that the efficiency of the EQHE is smaller than the Carnot efficiency and the validity of the second law of thermodynamics is confirmed;The region of non-zero efficiency is mainly distributed in C1C2 and the value of efficiency and region of non-zero efficiency increase with the increase of the ratio of the temperature γ.The efficiency of the EQHE is discussed in two special cases Δ=0 and Δ=1.
The quantum heat engines have drawn much attention due to miniaturization of devices recently. We study the dynamics of the quantum Otto heat engine using the driven-dissipative Schrödinger equation. Starting from different initial states, we simulate the time evolutions of the internal energy, power and heat-work conversion efficiency. The initial state impacts on these thermodynamic quantities before the Otto cycle reaches stable. In the transition period, the efficiency and power may be higher or lower than the corresponding values in the cyclostationary state. Remarkably, the efficiency could surpass the Otto limit and even the Carnot limit and the power could be much higher than the rated power. The efficiency anomaly is due to the energy in the initial state. Thus, we suggest that periodically pumping could take the similar role of a hot bath but could be manipulated flexibly. Furthermore, we propose a new quantum engine working in a single reservoir to convert the pump energy into mechanical work. This manipulative engine could potentially be applied to working in the microenvironments without a large temperature difference, such as the biological tissues in vivo. Our protocol is expected to model a new quantum engine with the advantage of applicability and controllability.