Heat and charge transport measurements to access single‐electron quantum characteristics

Moskalets, Michael; Haack, Géraldine

doi:10.1002/pssb.201600616

Cited by 21 publications

(27 citation statements)

References 77 publications

(148 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We start by considering the regime where thermal and quantum fluctuations are comparable. As a beginning, we focus on the relevant case of q = 1, where states formed by a single leviton are injected from both sources [91]. The collision of identical single-leviton states is very interesting because previous work on fluctuations of charge current proved that in this case the ratio of HOM charge noise is independent of filling factors and temperatures, acquiring an universal analytical expression [15,39].…”

Section: Resultsmentioning

confidence: 99%

Hong-Ou-Mandel heat noise in the quantum Hall regime

et al. 2019

View full text Add to dashboard Cite

We investigate heat current fluctuations induced by a periodic train of Lorentzian-shaped pulses, carrying an integer number of electronic charges, in a Hong-Ou-Mandel interferometer implemented in a quantum Hall bar in the Laughlin sequence. We demonstrate that the noise in this collisional experiment cannot be reproduced in a setup with a single drive, in contrast to what is observed in the charge noise case. Nevertheless, the simultaneous collision of two identical levitons always leads to a total suppression even for the Hong-Ou-Mandel heat noise at all filling factors, despite the presence of emergent anyonic quasi-particle excitations in the fractional regime. Interestingly, the strong correlations characterizing the fractional phase are responsible for a remarkable oscillating pattern in the HOM heat noise, which is completely absent in the integer case. These oscillations can be related to the recently predicted crystallization of levitons in the fractional quantum Hall regime.

show abstract

Section: Resultsmentioning

confidence: 99%

Hong-Ou-Mandel heat noise in the quantum Hall regime

et al. 2019

View full text Add to dashboard Cite

show abstract

“…(24). Finally, E = /(2Γ τ ) is the energy of the injected particle relative to the Fermi level [63]. The wave function of the injected particle reads Ψ (t) = e − i µt ψ(t) with [35]…”

Section: Non-adiabatic Injectionmentioning

confidence: 99%

Composite two-particle sources

Moskalets

Kotilahti

Burset

et al. 2020

Eur. Phys. J. Spec. Top.

Self Cite

View full text Add to dashboard Cite

Multi-particle sources constitute an interesting new paradigm following the recent development of on-demand single-electron sources. Versatile devices can be designed using several single-electron sources, possibly of different types, coupled to the same quantum circuit. However, if combined non-locally to avoid cross-talk, the resulting architecture becomes very sensitive to electronic decoherence. To circumvent this problem, we here analyse two-particle sources that operate with several single-electron (or hole) emitters attached in series to the same electronic waveguide. We demonstrate how such a device can emit exactly two electrons without exciting unwanted electron-hole pairs if the driving is adiabatic. Going beyond the adiabatic regime, perfect two-electron emission can be achieved by driving two quantum dot levels across the Fermi level of the external reservoir. If a single-electron source is combined with a source of holes, the emitted particles can annihilate each other in a process which is governed by the overlap of their wave functions. Importantly, the degree of annihilation can be controlled by tuning the emission times, and the overlap can be determined by measuring the shot noise after a beam splitter. In contrast to a Hong-Ou-Mandel experiment, the wave functions overlap close to the emitters and not after propagating to the beam splitter, making the shot noise reduction less susceptible to electronic decoherence. a

show abstract

“…The first-order correlation function at coincident times defines an electrical current generated by the source, I(t) = ev µ G (1) (t; t). 75 The outgoing currents are expressed in terms of the incoming current I(t), as follows, I 3 (t) = RI(t) and I 4 (t) = T I(t). The currents are periodic in time, I(t) = I(t+T 0 ).…”

Section: Appendix A: Electron Versus Electrical Correlation Functionsmentioning

confidence: 99%

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

Moskalets

2018

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Heat and charge transport measurements to access single‐electron quantum characteristics

Cited by 21 publications

References 77 publications

Hong-Ou-Mandel heat noise in the quantum Hall regime

Hong-Ou-Mandel heat noise in the quantum Hall regime

Composite two-particle sources

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

Contact Info

Product

Resources

About