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arXiv:2608.15899 · Physical Review A

Anti-Zeno boost in an autonomous quantized-piston thermal machine

M. Tahir Naseem

quant-phSubmitted Aug 16, 2026• Announced Aug 18, 2026• 0 citations
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Abstract

Anti-Zeno enhancement of quantum heat machines has been established for working fluids driven by an external classical field, but whether the same quantum advantage survives when a quantized piston replaces the classical drive has remained open. Here we study an autonomous thermal machine in which a two-level working fluid is coupled to a quantized harmonic piston and to two spectrally separated reservoirs, without external modulation. We derive a finite-time master equation for the resulting carrier and sideband channels, whose rates interpolate between the Zeno, anti-Zeno, and Markovian regimes as the coupling time is varied. For an initially coherent piston, the machine charges the piston and generates more ergotropy than the Markovian reference in the anti-Zeno window. Reversing the same retained channels turns the device into a finite-resource refrigerator with enhanced cooling. The anti-Zeno effect therefore increases the rate of operation while leaving the underlying carrier and sideband energy ratios unchanged. These channel ratios remain consistent with the usual Carnot bounds over the operating regimes considered here. Our results establish finite-time reservoir sampling as a mechanism for enhancing autonomous thermal-machine operation with a quantized piston, without external modulation.

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Anti-Zeno enhancement of quantum heat machines has been established for working fluids driven by an external classical field, but whether the same quantum advantage survives when a quantized piston replaces the classical drive has remained open. Here we study an autonomous thermal machine in which a two-level working fluid is coupled to a quantized harmonic piston and to two spectrally separated reservoirs, without external modulation. We derive a finite-time master equation for the resulting carrier and sideband channels, whose rates interpolate between the Zeno, anti-Zeno, and Markovian regimes as the coupling time is varied. For an initially coherent piston, the machine charges the piston and generates more ergotropy than the Markovian reference in the anti-Zeno window. Reversing the same retained channels turns the device into a finite-resource refrigerator with enhanced cooling. The anti-Zeno effect therefore increases the rate of operation while leaving the underlying carrier and sideband energy ratios unchanged. These channel ratios remain consistent with the usual Carnot bounds over the operating regimes considered here. Our results establish finite-time reservoir sampling as a mechanism for enhancing autonomous thermal-machine operation with a quantized piston, without external modulation.
Abstract A minimal model of a quantum thermal machine is analyzed, where a driven two level working medium (WM) is embedded in an environment (reservoir) whose spectrum possesses bandgaps. The transition frequency of the WM is periodically modulated so as to be in alternating spectral overlap with hot or cold reservoirs whose spectra are separated by a bandgap. Approximate and exact treatments supported by analytical considerations yield a complete characterization of this thermal machine in the deep quantum domain. For slow to moderate modulation, the spectral response of the reservoirs is close to equilibrium, exhibiting sideband (Floquet) resonances in the heat currents and power output. In contrast, for faster modulation, strong-coupling and non-Markovian features give rise to correlations between the WM and the reservoirs and between the two reservoirs. Power boost of strictly quantum origin (‘quantum advantage’) is then found for both continuous and segmental fast modulation that leads to the anti-Zeno effect of enhanced spectral reservoir response. Such features cannot be captured by standard Markovian treatments.
Abstract Developing quantum machines which can outperform their classical counterparts, thereby achieving quantum supremacy or quantum advantage, is a major aim of the current research on quantum thermodynamics and quantum technologies. Here, we show that a fast-modulated cyclic quantum heat machine operating in the non-Markovian regime can lead to significant heat current and power boosts induced by the anti-Zeno effect. Such boosts signify a quantum advantage over almost all heat machines proposed thus far that operate in the conventional Markovian regime, where the quantumness of the system-bath interaction plays no role. The present effect owes its origin to the time-energy uncertainty relation in quantum mechanics, which may result in enhanced system-bath energy exchange for modulation periods shorter than the bath correlation-time.
We use fast periodic control to realize finite-time Otto cycles exhibiting quantum advantage.Such periodic modulation of the working medium-bath interaction Hamiltonian during the thermalization strokes can give rise to non-Markovian anti-Zeno dynamics and corresponding reduction in the thermalization times.Faster thermalization can in turn significantly enhance the power output in engines or, equivalently, the rate of refrigeration in refrigerators.This improvement in performance of dynamically controlled Otto thermal machines arises due to the time-energy uncertainty relation of quantum mechanics.
We present a theoretical investigation of entanglement generation in an external quantum system during its interaction with a quantum autonomous thermal machine (QATM) under non-Markovian dynamics. The QATM, composed of two qubits each coupled to independent thermal reservoirs, interacts with an external system of two additional qubits. By analyzing the Hilbert space structure, energy level configurations, and temperature gradients, we define a common interaction between the QATM qubits and the external system qubits, which allows the definition of two thermodynamic cycles (A and B) governed by virtual temperatures and energy-conserving transitions. We demonstrate that the QATM can act as a structured reservoir able to induce non-Markovian memory effects highlighted by negative entropy production rates. Using mutual information and concurrence, we show that entanglement is generated only using cycle A, which is associated with stronger non-Markovian behavior and higher coherence correlations. Our results demonstrate that temperature differences, Hilbert space structure, and coherence serve as quantum resources for controlling and enhancing entanglement in quantum thermodynamic settings, with parameters consistent with experimental superconducting qubit platforms.
Recent years have enjoyed an overwhelming interest in quantum thermodynamics, a field of research aimed at understanding thermodynamic tasks performed in the quantum regime.Further progress, however, seems to be obstructed by the lack of experimental implementations of thermal machines in which quantum effects play a decisive role.In this work, we introduce a blueprint of quantum field machines, which-once experimentally realized-would fill this gap.Even though the concept of the QFM presented here is very general and can be implemented in any many-body quantum system that can be described by a quantum field theory.We provide here a detailed proposal of how to realize a quantum machine in onedimensional ultracold atomic gases, which consists of a set of modular operations giving rise to a piston.These can then be coupled sequentially to thermal baths, with the innovation that a quantum field takes up the role of the working fluid.In particular, we propose models for compression on the system to use it as a piston, and coupling to a bath that gives rise to a valve controlling heat flow.These models are derived within Bogoliubov theory, which allows us to study the operational primitives numerically in an efficient way.By composing the numerically modeled operational primitives we design complete quantum thermodynamic cycles that are shown to enable cooling and hence giving rise to a quantum field refrigerator.The active cooling achieved in this way can operate in regimes where existing cooling methods become ineffective.We describe the consequences of operating the machine at the quantum level and give an outlook of how this work serves as a road map to explore open questions in quantum information, quantum thermodynamic, and the study of non-Markovian quantum dynamics.