Revealing attractive electron–electron interaction in a quantum dot by full counting statistics

Kleinherbers, Eric; Stegmann, Philipp; König, Jürgen

doi:10.1088/1367-2630/aad14a

Cited by 23 publications

(21 citation statements)

References 49 publications

(72 reference statements)

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“…The shorttime physics can be characterized by the distribution of photon waiting times, [28][29][30][31][32][33] which contains information about few-photon processes which cannot easily be ex- tracted from standard correlation measurements. The factorial cumulants of the counting statistics [34][35][36][37][38][39][40] are positive at all times, and we conjecture that this behavior is linked with the bosonic quantum nature of the photons. At long times, we find a simple expression for the rare fluctuations of the photon current which may explain earlier results on heat transport statistics 41 and measurements of work distributions.…”

Section: Introductionmentioning

confidence: 72%

Photon counting statistics of a microwave cavity

2019

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The development of microwave photon detectors is paving the way for a wide range of quantum technologies and fundamental discoveries involving single photons. Here, we investigate the photon emission from a microwave cavity and find that distribution of photon waiting times contains information about few-photon processes, which cannot easily be extracted from standard correlation measurements. The factorial cumulants of the photon counting statistics are positive at all times, which may be intimately linked with the bosonic quantum nature of the photons. We obtain a simple expression for the rare fluctuations of the photon current, which is helpful in understanding earlier results on heat transport statistics and measurements of work distributions. Under non-equilibrium conditions, where a small temperature gradient drives a heat current through the cavity, we formulate a fluctuation-dissipation relation for the heat noise spectra. Our work suggests a number of experiments for the near future, and it offers theoretical questions for further investigation. arXiv:1808.02716v3 [cond-mat.mes-hall]

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Section: Introductionmentioning

confidence: 72%

Photon counting statistics of a microwave cavity

2019

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“…(20). For example, FCS of the interacting Anderson dot model [62][63][64][65][66] or the spin-fermion model can be similarly implemented using an iterative algorithm.…”

Section: Discussionmentioning

confidence: 99%

Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach

Kilgour

Agarwalla

Segal

2019

The Journal of Chemical Physics

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We develop and test a computational framework to study heat exchange in interacting, nonequilibrium open quantum systems. Our iterative full counting statistics path integral (iFCSPI) approach extends a previously well-established influence functional path integral method, by going beyond reduced system dynamics to provide the cumulant generating function of heat exchange. The method is straightforward; we implement it for the nonequilibrium spin boson model to calculate transient and long-time observables, focusing on the steady-state heat current flowing through the system under a temperature difference. Results are compared to perturbative treatments and demonstrate good agreement in the appropriate limits. The challenge of converging nonequilibrium quantities, currents and high order cumulants, is discussed in detail. The iFCSPI, a numerically exact technique, naturally captures strong system-bath coupling and non-Markovian effects of the environment. As such, it is a promising tool for probing fundamental questions in quantum transport and quantum thermodynamics.arXiv:1812.03044v1 [cond-mat.stat-mech]

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“…Electron waiting times have been investigated for a wide range of physical systems including quantum dots, [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] coherent conductors, 36,37 molecular junctions, 38,39 and superconducting systems. [40][41][42][43][44][45][46] Distributions of waiting times contain complementary information on charge transport properties which is not necessarily encoded in the full counting statistics (FCS) and vice versa.…”

Section: Introductionmentioning

confidence: 99%

Waiting time distributions in a two-level fluctuator coupled to a superconducting charge detector

Jenei

Potaņina

Zhao

et al. 2019

Phys. Rev. Research

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We analyze charge fluctuations in a parasitic state strongly coupled to a superconducting Josephson-junction-based charge detector. The charge dynamics of the state resembles that of electron transport in a quantum dot with two charge states, and hence we refer to it as a two-level fluctuator. By constructing the distribution of waiting times from the measured detector signal and comparing it with a waiting time theory, we extract the electron in-and out-tunneling rates for the two-level fluctuator, which are severely asymmetric. arXiv:1909.02866v2 [cond-mat.mes-hall]

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Revealing attractive electron–electron interaction in a quantum dot by full counting statistics

Cited by 23 publications

References 49 publications

Photon counting statistics of a microwave cavity

Photon counting statistics of a microwave cavity

Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach

Waiting time distributions in a two-level fluctuator coupled to a superconducting charge detector

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