# Quantum Heat Machines Equivalence, Work Extraction beyond Markovianity, and Strong Coupling via Heat Exchangers

@article{Uzdin2016QuantumHM, title={Quantum Heat Machines Equivalence, Work Extraction beyond Markovianity, and Strong Coupling via Heat Exchangers}, author={Raam Uzdin and Amikam Levy and Ronnie Kosloff}, journal={Entropy}, year={2016}, volume={18}, pages={124} }

Various engine types are thermodynamically equivalent in the quantum limit of small “engine action”. Our previous derivation of the equivalence is restricted to Markovian heat baths and to implicit classical work repository (e.g., laser light in the semi-classical approximation). In this paper, all the components, baths, batteries, and engines, are explicitly taken into account. To neatly treat non-Markovian dynamics, we use mediating particles that function as a heat exchanger. We find that…

## 58 Citations

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## References

SHOWING 1-10 OF 168 REFERENCES

Irreversible performance of a quantum harmonic heat engine

- Physics
- 2006

The unavoidable irreversible loss of power in a heat engine is found to be of quantum origin. Following thermodynamic tradition, a model quantum heat engine operating in an Otto cycle is analysed,…

Strongly Coupled Quantum Heat Machines.

- PhysicsThe journal of physical chemistry letters
- 2015

It is shown that strongly coupled QHMs may be as efficient as their weakly coupled counterparts, and a novel turnover behavior is found where their output saturates and disappears in the limit of ultrastrong coupling.

Quantum heat engines and refrigerators: continuous devices.

- Physics, EngineeringAnnual review of physical chemistry
- 2014

The quantum tricycle, a device connected by three external leads to three heat reservoirs, is used as a template for engines and refrigerators, and all refrigerators as Tc→0 show universal behavior.

The quantum heat engine and heat pump: An irreversible thermodynamic analysis of the three-level amplifier

- Physics
- 1996

The manifestations of the three laws of thermodynamics are explored in a model of an irreversible quantum heat engine. The engine is composed of a three‐level system simultaneously coupled to hot and…

Quantum Equivalence and Quantum Signatures in Heat Engines

- Physics
- 2015

Quantum heat engines (QHE) are thermal machines where the working substance is quantum. In the extreme case the working medium can be a single particle or a few level quantum system. The study of QHE…

Coherence recycling, collective operation, and coherence induced reversibility in quantum heat engines

- Physics
- 2015

Abstract When quantum heat engines or refrigerators operate in the over-thermalization regime, quantum effects are not expected as the thermal baths eliminates all coherences. In this work we show…

Thermal machines beyond the weak coupling regime

- Physics
- 2013

How much work can be extracted from a heat bath using a thermal machine? The study of this question has a very long history in statistical physics in the weak-coupling limit, when applied to…

Three-level quantum amplifier as a heat engine: A study in finite-time thermodynamics.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1994

The finite-rate performance of a quantum heat engine, constructed from a three-level amplifier, is analyzed and it is shown that the standard assumption of field-independent dissipation is inconcistent with thermodynamics.

The maximum efficiency of nano heat engines depends on more than temperature

- PhysicsQuantum
- 2019

Sadi Carnot's theorem regarding the maximum efficiency of heat engines is considered to be of fundamental importance in thermodynamics. This theorem famously states that the maximum efficiency…

Quantum-enhanced absorption refrigerators

- PhysicsScientific reports
- 2014

This work establishes thermodynamic performance bounds for quantum absorption refrigerators and investigates their quantum origin, and shows how those bounds may be pushed beyond what is classically achievable, by suitably tailoring the environmental fluctuations via quantum reservoir engineering techniques.