Finite-frequency noise of interacting single-electron emitters: Spectroscopy with higher noise harmonics

Dittmann, Niklas; Splettstoesser, Janine

doi:10.1103/physrevb.98.115414

Cited by 9 publications

(5 citation statements)

References 49 publications

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“…This could establish connections between deviations from finite-frequency FRR due to strong interactions, discovered in Ref. [36] and first connections between finite frequency noise and energy currents established for noninteracting systems in Ref. [21].…”

Section: Discussionmentioning

confidence: 70%

“…Secondly, the additional step to derive the explicit FRR for specific cumulants has been omitted. For this reason, the mechanism underlying recently discovered deviations of the FRR in the presence of time-dependent driving compared to known stationary FRR in systems with strong many-body correlations [35,36], remained unclear so far. Furthermore, we believe that this lack of specificity resulted in an incomplete understanding of the importance of many-body interactions in driven systems, first hinted at in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Transport fluctuation relations in interacting quantum pumps

Riwar,

Splettstoesser

2020

Preprint

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The understanding of out-of-equilibrium fluctuation relations in small open quantum systems has been a focal point of research in recent years. In particular, for systems with adiabatic timedependent driving, it was shown that the fluctuation relations known from stationary systems do no longer apply due the geometric nature of the pumping current response. However, the precise physical interpretation of the corrected pumping fluctuation relations as well as the role of many-body interactions remained unexplored. Here, we study quantum systems with many-body interactions subject to slow time-dependent driving, and show that fluctuation relations of the charge current can in general not be formulated without taking into account the total energy current put into the system through the pumping process. Moreover, we show that this correction due to the input energy is nonzero only when Coulomb-interactions are present. Thus, fluctuation response relations offer an until now unrevealed opportunity to probe many-body correlations in quantum systems. We demonstrate our general findings at the concrete example of a single-level quantum dot model, and propose a scheme to measure the interaction-induced discrepancies from the stationary case.

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Section: Discussionmentioning

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Transport fluctuation relations in interacting quantum pumps

Riwar,

Splettstoesser

2020

Preprint

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“…Since the measurement of a time-resolved noise is challenging, below I focus on a frequency-resolved noise [45][46][47][48][49][50][51] , which was measured more than once, see, e.g., Refs. 52-54 and also Ref.…”

Section: IIImentioning

confidence: 99%

Single-electron second-order correlation function G(2) at nonzero temperatures

Moskalets

2018

Phys. Rev. B

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The single-particle state is not expected to demonstrate second-order coherence. This proposition, correct in the case of a pure quantum state, is not verified in the case of a mixed state. Here I analyze the consequences of this fact for the second-order correlation function, G (2) , of electrons injected on top of the Fermi sea with nonzero temperature. At zero temperature, the function G (2) unambiguously demonstrates whether the injected state is a single-or a multi-particle state: G (2) vanishes in the former case, while it does not vanish in the latter case. However, at nonzero temperatures, when the quantum state of injected electrons is a mixed state, the purely single-particle contribution makes the function G (2) to be non vanishing even in the case of a single-electron injection. The single-particle contribution puts the lower limit to the second-order correlation function of electrons injected into conductors at nonzero temperatures. The existence of a single-particle contribution to G (2) can be verified experimentally by measuring the cross-correlation electrical noise.

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“…Here, in contrast to previous works [ 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 ]—for a review, see in [ 33 ]—I will focus on comparing auto- and cross-correlation noise. I will show that, in the case of a periodic train of non-overlapping single-electron wave packets scattered off the wave splitter with reflection probability R , there are two contributions to noise.…”

Section: Introductionmentioning

confidence: 99%

Auto- versus Cross-Correlation Noise in Periodically Driven Quantum Coherent Conductors

Moskalets¹

2021

Entropy

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Expressing currents and their fluctuations at the terminals of a multi-probe conductor in terms of the wave functions of carriers injected into the Fermi sea provides new insight into the physics of electric currents. This approach helps us to identify two physically different contributions to shot noise. In the quantum coherent regime, when current is carried by non-overlapping wave packets, the product of current fluctuations in different leads, the cross-correlation noise, is determined solely by the duration of the wave packet. In contrast, the square of the current fluctuations in one lead, the autocorrelation noise, is additionally determined by the coherence of the wave packet, which is associated with the spread of the wave packet in energy. The two contributions can be addressed separately in the weak back-scattering regime, when the autocorrelation noise depends only on the coherence. Analysis of shot noise in terms of these contributions allows us, in particular, to predict that no individual traveling particles with a real wave function, such as Majorana fermions, can be created in the Fermi sea in a clean manner, that is, without accompanying electron–hole pairs.

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Finite-frequency noise of interacting single-electron emitters: Spectroscopy with higher noise harmonics

Cited by 9 publications

References 49 publications

Transport fluctuation relations in interacting quantum pumps

Transport fluctuation relations in interacting quantum pumps

Single-electron second-order correlation function G(2) at nonzero temperatures

Auto- versus Cross-Correlation Noise in Periodically Driven Quantum Coherent Conductors

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