Non-Markovian effect on quantum Otto engine: Role of system-reservoir interaction

Shirai, Yuji; Hashimoto, Kazunari; Tezuka, Ryuta; Uchiyama, Chikako; Hatano, Naomichi

doi:10.1103/physrevresearch.3.023078

Cited by 35 publications

(19 citation statements)

References 123 publications

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“…Klatzow and co-workers proved that a coherent superposition enables an engine to produce more power than the equivalent classical counterpart by using an ensemble of nitrogen vacancy centers in diamond as the working substance [15]. Considering the non-Markovian effect, Shirai et al identified a new definition of work including the energy cost of detaching the spin from the reservoir [16,17].…”

Section: Introductionmentioning

confidence: 99%

Thermal divergences of quantum measurement engine

Su¹,

Lin²,

Chen³

2021

Preprint

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A quantum engine fueled by quantum measurement is proposed. Under the finite-time adiabatic driving regime, the conversion of heat to work is realized without the compression and expansion of the resonance frequency. The work output, quantum heat, and efficiency are derived, highlighting the important role of the thermal divergence recently reappearing in open quantum systems. The key problem of how the measurement basis can be optimized to enhance the performance is solved by connecting the thermal divergence to the nonequilibrium free energy and entropy. The spinengine architecture offers a comprehensive platform for future investigations of extracting work from quantum measurement.

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Section: Introductionmentioning

confidence: 99%

Thermal divergences of quantum measurement engine

Su¹,

Lin²,

Chen³

2021

Preprint

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“…Among the various routes towards this vision, devising periodically-driven quantum thermal machines (PD-QTMs) in which work can be extracted through externally driving a quantum working substance represents a paradigmatic one. This field has attracted much attention in recent years with intriguing theoretical proposals [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] together with delicate experimental realizations in various platforms [27][28][29][30][31][32][33][34][35][36].…”

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confidence: 99%

“…Here, λ v (t) is a time-dependent coefficient describing the contact switching of the v reservoir, used to implement thermodynamic strokes (see, e.g., Refs. [24,25,43]). We assume periodic protocols H S,I (t) = H S,I (t + T ) such that H(t) = H(t + T ) with T the period of the driving.…”

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confidence: 99%

“…( 4), we emphasize that no approximations were invoked. The A term reflects the change to Tr {H SI ρ tot } after a cycle, highlighting the nontrivial role of the system-bath coupling in quantum engines [25,41]. In the warming-up phase where even the system density matrix ρ S does not inherit the periodicity of the driving protocol, one naturally expects a nonzero A(m).…”

mentioning

confidence: 99%

“…2 (c) shows that η 0 decreases as Γ increases, until it becomes invalid for very large coupling strength. This suggests that interactions with the baths are in fact helpful in the heat-work conversion process [25]. The dramatic qualitative difference between the conventional definition η 0 and the correct expression η demonstrates why it is crucial to adopt the complete expressions, including the A term.…”

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confidence: 99%

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Periodically-driven quantum thermal machines from warming up to limit cycle

Liu,

Jung,

Segal

2021

Preprint

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Theoretical treatments of periodically-driven quantum thermal machines (PD-QTMs) are largely focused on the limit-cycle stage of operation characterized by a periodic state of the system. Yet, this regime is not immediately accessible for experimental verification. Here, we present a general thermodynamic framework that can handle the performance of PD-QTMs both before and during the limit-cycle stage of operation. It is achieved by observing that periodicity may break down at the ensemble average level, even in the limit-cycle phase. With this observation, and using conventional thermodynamic expressions for work and heat, we find that a complete description of the first law of thermodynamics for PD-QTMs requires a new contribution, which vanishes only in the limit-cycle phase under rather weak system-bath couplings. Significantly, this contribution is substantial at strong couplings even at limit cycle, thus largely affecting the behavior of the thermodynamic efficiency. We demonstrate our framework by simulating a quantum Otto engine building upon a driven resonant level model. Our results provide new insights towards a complete description of PD-QTMs, from turn-on to the limit-cycle stage and, particularly, shed light on the development of quantum thermodynamics at strong coupling.

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