Irreversibility on the Level of Single-Electron Tunneling

Küng, Bruno; Rössler, C.; Beck, Mattias; Marthaler, Michael; Golubev, Dmitri S.; Utsumi, Yasuhiro; Ihn, Thomas; Ensslin, Klaus

doi:10.1103/physrevx.2.011001

Cited by 112 publications

(145 citation statements)

References 28 publications

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“…Here, and in refs [17,18] it is worth noting that a large number of experiments is possible -up to millions of repetitions -meaning that sufficient statistics can be collected, unlike in typical experiments on molecules [2]. In another experiment, more general fluctuation relations under time-dependent driving conditions were tested with the two islands in the SEB at unequal temperatures [29].…”

Section: Fluctuation Relationsmentioning

confidence: 99%

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Towards quantum thermodynamics in electronic circuits

2015

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Section: Fluctuation Relationsmentioning

confidence: 99%

“…The basic fluctuation theorem (see eq. (1) in Box 1) has been tested in experiments on a double quantum dot (DQD) [17,18]. Although it is a quantum dot structure, the experiment itself is in the classical single-electron tunneling regime and thus probes the classical fluctuation relations.…”

Section: Fluctuation Relationsmentioning

confidence: 99%

Towards quantum thermodynamics in electronic circuits

2015

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“…Their discovery has represented a major progress in our understanding of the second law of thermodynamics and has also accompanied many advances in the observation and manipulation of various experimental nonequilibrium systems, such as biopolymers [4,5], manipulated colloids [6,7], mechanical oscillators or electronic circuits [8] or quantum devices [9].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic inference based on coarse-grained data or noisy measurements

2016

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Fluctuation theorems have become an important tool in single molecule biophysics to measure free energy differences from non-equilibrium experiments. When significant coarse-graining or noise affect the measurements, the determination of the free energies becomes challenging. In order to address this thermodynamic inference problem, we propose improved estimators of free energy differences based on fluctuation theorems, which we test on a number of examples. The effect of the noise can be described by an effective temperature, which only depends on the signal to noise ratio, when the work is Gaussian distributed and uncorrelated with the error made on the work. The notion of effective temperature appears less useful for non-Gaussian work distributions or when the error is correlated with the work, but nevertheless, as we show, improved estimators can still be constructed for such cases. As an example of non-trivial correlations between the error and the work, we also consider measurements with delay, as described by linear Langevin equations.

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“…[15][16][17][18] A similar treatment has been carried out for the stochastic temperature and chemical potential fluctuations in an overheated metallic island. [19][20][21] However, to the best of our knowledge there are no studies of the fluctuation theorem (FT) [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] in systems coupled to thermal probes. This paper is devoted to the exploration of this issue.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation theorem for heat transport probed by a thermal probe electrode

et al. 2014

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We analyze the full-counting statistics of the electric heat current flowing in a two-terminal quantum conductor whose temperature is probed by a third electrode ("probe electrode"). In particular we demonstrate that the cumulant-generating function obeys the fluctuation theorem in the presence of a constant magnetic field. The analysis is based on the scattering matrix of the three-terminal junction (comprising of the two electronic terminals and the probe electrode), and a separation of time scales: it is assumed that the rapid charge transfer across the conductor and the rapid relaxation of the electrons inside the probe electrode give rise to much slower energy fluctuations in the latter. This separation allows for a stochastic treatment of the probe dynamics, and the reduction of the three-terminal setup to an effective two-terminal one. Expressions for the lowest nonlinear transport coefficients, e.g., the linear-response heat-current noise and the second nonlinear thermal conductance, are obtained and explicitly shown to preserve the symmetry of the fluctuation theorem for the two-terminal conductor. The derivation of our expressions which is based on the transport coefficients of the three-terminal system explicitly satisfying the fluctuation theorem, requires the full calculations of vertex corrections.

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Irreversibility on the Level of Single-Electron Tunneling

Cited by 112 publications

References 28 publications

Towards quantum thermodynamics in electronic circuits

Towards quantum thermodynamics in electronic circuits

Thermodynamic inference based on coarse-grained data or noisy measurements

Fluctuation theorem for heat transport probed by a thermal probe electrode

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