Strong Coupling Corrections in Quantum Thermodynamics

Perarnau-Llobet, Martí; Wilming, Henrik; Riera, Arnau; Gallego, Rodrigo; Eisert, Jens

doi:10.1103/physrevlett.120.120602

Cited by 127 publications

(113 citation statements)

References 76 publications

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“…Nonetheless, as it was the case here, these results were focused on particular models, and the general question of whether strong coupling and non-Markovian effects are (un)favorable for the performance of quantum thermal machines is still open. Strong coupling corrections to the second law due to the interaction strength were derived in [44], also showing a lower performance, but restricted to thermodynamic protocols where the system is adiabatically driven and never simultaneously coupled to more than one thermal bath.…”

Section: Discussionmentioning

confidence: 99%

From quantum heat engines to laser cooling: Floquet theory beyond the Born–Markov approximation

et al. 2018

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We combine the formalisms of Floquet theory and full counting statistics with a Markovian embedding strategy to access the dynamics and thermodynamics of a periodically driven thermal machine beyond the conventional Born-Markov approximation. The working medium is a two-level system and we drive the tunneling as well as the coupling to one bath with the same period. We identify four different operating regimes of our machine which include a heat engine and a refrigerator. As the coupling strength with one bath is increased, the refrigerator regime disappears, the heat engine regime narrows and their efficiency and coefficient of performance decrease. Furthermore, our model can reproduce the setup of laser cooling of trapped ions in a specific parameter limit. [35,36], redefined system-reservoir partitions (collective coordinate (CC) mappings) [37-41], a quantum absorption refrigerator [42], quenched thermodynamic protocols [43,44] and the derivation of an exact expression for the entropy production of a finite arbitrary system in contact with one or several thermal reservoirs [45], but none of which were applied to periodically driven machines so far. Exceptions are [46] and [47]. In [46] a polaron transformation and Floquet theory were used to include arbitrary strong coupling effects but only as long as the rotating wave approximation for the system Hamiltonian and the Markovian approximation for the reservoir hold. In [47] a periodically driven three-level heat engine was studied using the numerical method of hierarchy of equations of motion, an approach that is based in a decomposition of the bath correlation function rather than an explicit representation of the bath. For this reason, access to more general, thermodynamically relevant thermal transport properties requires a tailored solution [48].However, none of the aforementioned methods was successfully applied to the combinations of problems we want to tackle: a driven system coupled to multiple heat reservoirs with a possibly strong, driven and non-Markovian coupling. To achieve this we combine three methods: a CC mapping [49,50], Floquet theory for open systems [14,21] and full counting statistics [51]. This novel and unique combination provides access to steady state thermodynamics lifting the restriction of common assumptions such as a very fast driving, Markovian and weakly coupled reservoirs, and the secular approximation. First, in the CC mapping, we identify a collective degree of freedom in the reservoir, sometimes referred to as reaction coordinate [52] that is responsible for the strong coupling and non-Markovian effects. Second, using Floquet theory, we derive a master equation for the original system plus CC and apply full counting statistics methods to obtain the change in energy of the reservoirs unambiguously. This strategy allows us to perform a consistent thermodynamic analysis of periodically driven thermal machines. Furthermore, it also allows us to accurately treat periodic time dependencies in the interaction between system and res...

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Section: Discussionmentioning

confidence: 99%

From quantum heat engines to laser cooling: Floquet theory beyond the Born–Markov approximation

et al. 2018

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“…Ruling out the possibility of using non-Markovian effects to improve the efficiency in the model [56][57][58], the power boost we reported above for the Carnot and Otto cycle can only be seen as a consequence of the latter in the reduction of thermalization timescales. We show here an argument to explain why it happens and how it is related to the non-Markovian building of correlations between the engine S and the j-th bath.…”

Section: Free-energy Analysismentioning

confidence: 97%

Non-Markov enhancement of maximum power for quantum thermal machines

Abiuso

Giovannetti

2019

Phys. Rev. A

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In this work we study how the non-Markovian character of the dynamics can affect the thermodynamic performance of a quantum thermal engine, by analysing the maximum power output of Carnot and Otto cycles departing from the quasi-static and infinite-time-thermalization regime respectively, introducing techniques for their control optimization in general dynamical models. In our model, non-Markovianity is introduced by allowing some degrees of freedom of the reservoirs to be taken into account explicitly and share correlations with the engine by Hamiltonian coupling. It is found that the non-Markovian effects can fasten the control and improve the power output.

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“…Out of the weak coupling regime, several attempts have been performed to formulate a thermodynamic framework, e.g. [34][35][36][37][38][39][40][41][42][43][44][45]. A possible approach [34,38,39] is suggested by fact that in the weak coupling regimė Q (w) (t) = −Tr[H R (t)ρ R (t)], as it can be easily proven from the von Neumann equation and the approximation H(t) ≃ H S (t) + H R in Eqs.…”

Section: Weak Coupling Considerationsmentioning

confidence: 99%

Strong Coupling Thermodynamics of Open Quantum Systems

Rivas¹

2020

Phys. Rev. Lett.

102

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A general thermodynamic framework is presented for open quantum systems in contact with a thermal reservoir. The first and second law are obtained for arbitrary system-reservoir coupling strengths, and including both factorized and correlated initial conditions. The thermodynamic properties are adapted to the generally strong coupling regime, approaching the ones defined for equilibrium, and their standard weak-coupling counterparts as appropriate limits. Moreover, they can be inferred from measurements involving only system observables. Finally, a thermodynamic signature of non-Markovianity is presented in the form of a positive entropy production rate.

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Strong Coupling Corrections in Quantum Thermodynamics

Cited by 127 publications

References 76 publications

From quantum heat engines to laser cooling: Floquet theory beyond the Born–Markov approximation

From quantum heat engines to laser cooling: Floquet theory beyond the Born–Markov approximation

Non-Markov enhancement of maximum power for quantum thermal machines

Strong Coupling Thermodynamics of Open Quantum Systems

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