Abstract
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.
Highlights
The recent experimental advances in control of systems in the quantum regime [1,2,3,4] have in part led to the current extensive interest in theoretical [5,6] and experimental [7,8,9,10,11] studies of quantum technologies
A question arises: Can quantum effects boost the performance of these quantum machines [40]? Recent studies have shown the possibility of harnessing quantum effects to achieve quantum enhancement in quantum devices, for example, in the context of quantum computing [41], in quantum thermal machines over many cycles [42], in interacting many-body quantum thermal machines in the presence of nonadiabatic dynamics [43], and through collective coherent coupling to baths [44,45], as well as experimentally, in the presence of coherence [10]
This fast coupling/decoupling of the working medium (WM) and the baths lead to antiZeno dynamics (AZD), such that the WM may thermalize with the jth bath at a finite rate, even for the corresponding bath spectral function peaking at a frequency ω j + δ = ω j, and G j (ω j ) ≈ 0, due to significant enhancement in values of the integrals in Eq (13)
Summary
The recent experimental advances in control of systems in the quantum regime [1,2,3,4] have in part led to the current extensive interest in theoretical [5,6] and experimental [7,8,9,10,11] studies of quantum technologies. We show the possibility of achieving quantum advantage in quantum machines undergoing non-Markovian dynamics; we consider an Otto cycle, in the presence of a working medium (WM) subjected to fast periodic modulations, in the form of rapid coupling/decoupling of the WM with the thermal baths during the thermalizing strokes. Modulations of the WM-bath interaction Hamiltonian at a timescale faster than the bath-correlation time result in non-Markovian antiZeno dynamics (AZD) [60,61,62,63,64], which allows the WM to exchange energy with a bath even out of resonance, thereby enhancing the heat currents significantly Such periodic modulation has been realized experimentally [65] and previously been shown to enhance power in continuous thermal machines [47].
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