Erratum: Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems [Rev. Mod. Phys.<b>81</b>, 1665 (2009)]

Esposito, Massimiliano; Harbola, Upendra; Mukamel, Shaul

doi:10.1103/revmodphys.86.1125

Cited by 151 publications

(312 citation statements)

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“…The GF (3) can be written [13] as an average of the evolution operator over the Keldysh contour, shown in Fig. 1…”

Section: Keldysh Contour Integrationmentioning

confidence: 99%

“…In Refs. [13,16] it has been shown by path-integral methods that in the non-interacting case Z(χ, t) can be expressed as the following Fredholm determinant, defined on the Keldysh contour…”

Section: Keldysh Contour Integrationmentioning

confidence: 99%

“…The system we consider is a spinless quantum dot (which will be referred to simply as dot in what follows) coherently coupled to metallic electrodes. In order to study this system, we make use of Green function techniques, which are in principle the most appropriate tool to study the time-dependent properties for coherently coupled conductors both in the noninteracting [13][14][15] and the interacting [12] cases. We will compare two different parameter regimes corresponding to the incoherent (accessible by setting temperature much bigger than the tunneling rates coupling the dot and the metallic electrodes) and the coherent (zero temperature) situations.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of universality in transient dynamics of coherent electronic transport

Souto

Martín‐Rodero

Yeyati

2016

Fortschritte der Physik

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We analyze the time-dependent full-counting statistics of charges transmitted through a quantum dot in the coherent regime. The generating function for the time-dependent charge transfer statistics is evaluated numerically by discretizing the Keldysh time contour, which allows us to compute the higher order charge and current cumulants. We also develop an analytic expression for all order cumulants at any time given as a function of the zeros of the generating function, finding that the short time universality is due to the presence of a dominant single zero. The robustness of the universal features at short times is studied in both the sequential and coherent regimes.

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“…The GF (3) can be written [13] as an average of the evolution operator over the Keldysh contour, shown in Fig. 1…”

Section: Keldysh Contour Integrationmentioning

confidence: 99%

Section: Keldysh Contour Integrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of universality in transient dynamics of coherent electronic transport

Souto

Martín‐Rodero

Yeyati

2016

Fortschritte der Physik

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“…In a small system, one has to consider fluctuations of macroscopic quantities, such as electric current. The fluctuation theorem (FT) [1,4,5] dominates such fluctuating quantities. The FT is a result of the microreversibility of the underlying equation of motion, and is valid far from equilibrium regime.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation theorem of a mesoscopic engine and spin switching

Utsumi

Taniguchi

2016

Fortschritte der Physik

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Based on the fluctuation theorem of a small engine, we present a description of the stochastic dynamics of a mesoscopic system. We apply it to the problem of the escape of a particle from a metastable state subjected to a fluctuating nonconservative force, which is beyond the description of the fluctuation‐dissipation theorem. As an example, we consider a reversal of a small magnetic moment by fluctuating spin‐torque. The joint probability distribution of input heat and output work is derived from the full‐counting statistics under adiabatic pumping. We predict a threshold voltage above which the spin‐torque shot noise induces probabilistic switching events, and below which such events are blocked.

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“…Apart from the standard current-voltage characteristics [1,12,13], it is also important to obtain insight into the fluctuations that accompany the corresponding transport processes. For example, by use of the full counting statistics [14][15][16][17] it is possible to extract information about the fluctuations of the electric current flowing across a molecular wire [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Power spectrum of electronic heat current fluctuations

Zhan

Денисов

Hänggi

2013

Physica Status Solidi (b)

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We analyze the fluctuations of an electronic thermal current across an idealized molecular junction. The focus here will be on the spectral features of the resulting heat fluctuations. By use of the Green functionmethod we derive an explicit expression for the frequency-dependent power spectral density of the emerging energy fluctuations. The complex expression simplifies considerably in the limit of zero frequency, yielding the noise intensity of the heat current. The spectral density for the electronic heat fluctuations still depends on the frequency in the zero-temperature limit, assuming different asymptotic behaviours in the low- and high-frequency regions. We further address subtleties and open problems from an experimental viewpoint for measurements of frequency-dependent power spectral densities.Comment: 11 pages, 6 figures, accepted in physica status solidi (b), special issue 'Quantum transport at the molecular scale'. arXiv admin note: text overlap with arXiv:1107.343

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Erratum: Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems [Rev. Mod. Phys.81, 1665 (2009)]

Cited by 151 publications

References 0 publications

Analysis of universality in transient dynamics of coherent electronic transport

Analysis of universality in transient dynamics of coherent electronic transport

Fluctuation theorem of a mesoscopic engine and spin switching

Power spectrum of electronic heat current fluctuations

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