Energy transmutation in nonequilibrium quantum systems

Mintchev, Mihail; Santoni, Luca; Sorba, P.

doi:10.1088/1751-8113/48/5/055003

Cited by 14 publications

(29 citation statements)

References 45 publications

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“…These symmetries imply the existence of a conserved particle current

j (t, x, i)

and energy current

ϑ (t, x, i)

. The heat current is the linear combination

q false(t, x, i false) = ϑ false(t, x, i false) - μ_{i} j false(t, x, i false)

Under this very general assumption about the symmetry content, one can prove that the junction in Figure operates as energy converter . To be more explicit, let us consider the operator

0true \overset{Q}{true} = - \sum_{i = 1}^{2} q (t, 0, i)

and let Φ be any state of the system.…”

Section: General Framework and Strategymentioning

confidence: 93%

Microscopic Features of Bosonic Quantum Transport and Entropy Production

2018

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The microscopic features of bosonic quantum transport in a nonequilibrium steady state, which breaks time reversal invariance spontaneously, are investigated. The analysis is based on the probability distributions, generated by the correlation functions of the particle current and the entropy production operator. The general approach is applied to an exactly solvable model with a point-like interaction driving the system away from equilibrium. The quantum fluctuations of the particle current and the entropy production are explicitly evaluated in the zero frequency limit. It is shown that all moments of the entropy production distribution are non-negative, which provides a microscopic version of the second law of thermodynamics. On this basis a concept of efficiency, taking into account all quantum fluctuations, is proposed and analyzed. The role of the quantum statistics in this context is also discussed.

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“…These symmetries imply the existence of a conserved particle current

j (t, x, i)

and energy current

ϑ (t, x, i)

. The heat current is the linear combination

q false(t, x, i false) = ϑ false(t, x, i false) - μ_{i} j false(t, x, i false)

Under this very general assumption about the symmetry content, one can prove that the junction in Figure operates as energy converter . To be more explicit, let us consider the operator

0true \overset{Q}{true} = - \sum_{i = 1}^{2} q (t, 0, i)

and let Φ be any state of the system.…”

Section: General Framework and Strategymentioning

confidence: 93%

Microscopic Features of Bosonic Quantum Transport and Entropy Production

2018

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“…Therefore, for µ 1 = µ 2 the junction in Fig. 1 operates as energy converter without dissipation [53]. The two possible regimes are controlled by the expectation value of the operatorQ…”

Section: A Conserved Currents and Entropy Productionmentioning

confidence: 99%

“…The opposite process takes place if instead Q > 0. A detailed study of this phenomenon of energy transmutation in the LB sate Ω LB has been performed in [53]. The above general considerations apply to the system in Fig.…”

Section: A Conserved Currents and Entropy Productionmentioning

confidence: 99%

Quantum fluctuations of entropy production for fermionic systems in the Landauer-Büttiker state

Mintchev¹,

Santoni²,

Sorba³

2017

Phys. Rev. E

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The quantum fluctuations of the entropy production for fermionic systems in the LandauerBüttiker non-equilibrium steady state are investigated. The probability distribution, governing these fluctuations, is explicitly derived by means of quantum field theory methods and analysed in the zero frequency limit. It turns out that microscopic processes with positive, vanishing and negative entropy production occur in the system with non-vanishing probability. In spite of this fact, we show that all odd moments (in particular, the mean value of the entropy production) of the above distribution are non-negative. This result extends the second principle of thermodynamics to the quantum fluctuations of the entropy production in the Landauer-Büttiker state. The effect of the time reversal is also discussed.

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“…Experimentally similar systems [7] have been already produced and implemented in electronic refrigerators [8], proved to be successful in cooling in the mK temperature range and recently shown to be efficient heat harvesters [9][10][11]. Thermoelectric nano-engines with quantum dots tunnel-coupled to external electrodes in two-and three-terminal geometry have been proposed as effective heat to electricity converters [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Note that besides quantum dots also molecules [27] and nano-wires [28] are useful elements for efficient energy harvesting at the nano-scale.…”

Section: Introductionmentioning

confidence: 99%

Optimisation of a three-terminal nonlinear heat nano-engine

2016

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Charge and heat transport in nano-structures is dominated by non-equilibrium effects which strongly influence their behaviour. These effects are studied in a setup consisting of three external leads, one of which is considered as a heat reservoir and is tunnel-coupled to two cold electrodes via two independently controlled quantum dots. The energy flow from the hot electrode together with energy filtering provided by quantum dots leads to a voltage bias between the cold electrodes. The heat and charge currents in the device effectively flow in mutually perpendicular directions, allowing for their independent control. The non-equilibrium screening changes the values of the system parameters needed for its optimal performance but leaves the maximal output power and efficiency unchanged. Our results are important from the theoretical point of view as well as for the practical implementation and the control of the proposed heat engine.

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Energy transmutation in nonequilibrium quantum systems

Cited by 14 publications

References 45 publications

Microscopic Features of Bosonic Quantum Transport and Entropy Production

Microscopic Features of Bosonic Quantum Transport and Entropy Production

Quantum fluctuations of entropy production for fermionic systems in the Landauer-Büttiker state

Optimisation of a three-terminal nonlinear heat nano-engine

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