Dephasing by a Zero-Temperature Detector and the Friedel Sum Rule

Rosenow, Bernd; Gefen, Yuval

doi:10.1103/physrevlett.108.256805

Cited by 12 publications

(14 citation statements)

References 34 publications

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“…In that case the transition rates at the impurity satisfy the detailed balance equation, and therefore the dot occupation probability P = 1/(1 + e βε0 ) is Boltzmannian. This yields the result for the visibility V e i∆φAB = (e i2πηD + e βε0 )/(1 + e βε0 ) [12]. In the limit of strong Coulomb interaction and symmetric coupling η D = η U = 0.5 (see Fig.…”

Section: The Experimental Setupsupporting

confidence: 56%

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Fermi-edge singularity in chiral one-dimensional systems far from equilibrium

2014

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We study the effects of strong coupling of a localized state charge to one-dimensional electronic channels out of equilibrium. While the state of this charge and the coupling strengths determine the scattering phase shifts in the channels, the nonequilibrium partitioning noise induces the tunneling transitions to the localized state. The strong coupling leads to a nonperturbative backaction effect which is manifested in the orthogonality catastrophe and the Fermi-edge singularity in the transition rates. We predict an unusually pronounced manifestation of the non-Gaussian component of noise that breaks the charge symmetry, resulting in a nontrivial shape, and a shift of the position of the tunneling resonance.

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Section: The Experimental Setupsupporting

confidence: 56%

“…An equivalent system at zero temperature has been considered in the previous initiative by Rosenow and Gefen [12]. However, we must clearly indicate that in the specific regime defined above, our results are in sharp contradiction.…”

Section: Introductionmentioning

confidence: 55%

Fermi-edge singularity in chiral one-dimensional systems far from equilibrium

2014

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“…This off-phase character is analogous to the phenomenon described by the Friedel sum rule [130][131][132]. The sum rule relates the phase shift of a scattering electron to the number of states in the energy interval due to scattering [133][134][135][136][137][138][139]. However, the electron number accumulated in the impurity, which is described by the general Friedel sum rule, is replaced by the phonon number involved in the electron transfer in our present system.…”

Section: Coherent Phase Shiftmentioning

confidence: 57%

Single molecular shuttle-junction: Shot noise and decoherence

Lai

Zhang

2015

Front. Phys.

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Single molecular shuttle-junction is one kind of nanoscale electromechanical tunneling system. In this junction, a molecular island oscillates depending on its charge occupation, and this charge dependent oscillation leads to modulation of electron tunneling through the molecular island. This paper reviews recent development on the study of current, shot noise and decoherence of electrons in the single molecular shuttle-junction. We will give detailed discussion on this topic using the typical system model, the theory of fully quantum master equation and the Aharonov-Bohm interferometer.

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“…The QD is weakly tunnel-coupled to a channel that supports fractional charge. This is to be contrasted with previous studies [7][8][9][10] , which examined a QD that was tunnel-coupled to regular electron reservoirs. We find that: (i) When the gate voltage applied on the QD is varied smoothly, a sharp jump in the phase of the transmission amplitude through the upper arm of the MZI occurs (cf.…”

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confidence: 63%

Suppression of dephasing and phase lapses in the fractional quantum Hall regime

2014

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A charge fluctuator which is electrostatically coupled to a conducting channel may fully dephase quantum transport through the latter. Here, we address the case where a quantum dot (QD), playing the role of a charge fluctuator, is tunnel-coupled to an additional channel. In the case where the latter may support fractional charge, distinct differences from the integer case arise: Abrupt phase lapses of the transmission through the conducting channel occur (which may or may not be equal to π). This is accompanied by a cusp-like suppression of the interferometer's visibility, yet no full dephasing. We interpret our findings in terms of the entanglement between the fluctuator and the conducting channels.PACS numbers: 71.10.Pm, 72.10.Fk, 73.63.Kv Interference between possible paths is a fundamental quantum mechanical phenomenon. Its realization via an electronic Mach-Zehnder interferometer (MZI) 1 and an electronic Fabry-Pérot interferometer 2 plays an important role in investigating basic physics phenomena such as the Aharonov-Bohm effect, action-free measurement, correlations among particles, and fractional statistics of Abelian and non-Abelian anyons. Understanding the degradation of quantum interference (dephasing) is crucial for nanoelectronic technologies, and is of profound importance for clarifying the elusive transition from a quantum behavior to a classical one. Dephasing of interferometry signal due to the interaction with a detector is intimately related to the entanglement between them. It is often associated with acquiring information about which path the interfering particle has taken. 3-6It is common practice to model the effect of an environment on a system through a bath of harmonic oscillators or a puddle of Fermi liquid coupled to the latter. However, recent developments in experimental techniques have made it possible to perform controlleddephasing experiments, where the dephasor consists of only few degrees of freedom, and can be controlled with high precision. This has introduced the need for models of dephasors that are non-Gaussian and fully quantum mechanical. An out-of-equilibrium detector capable of determining the path taken by the electron, and thereby destroying the interference signal, is a standard paradigm in mesoscopic physics. Recently it has been shown that the Friedel sum rule is a useful tool for analyzing dephasing induced by charge fluctuations 7 . Here we study a paradigmatic controlled-dephasing setup of a MZI interacting with a fluctuator, but with a twist: the fluctuator operates in the fractional quantum Hall regime. The fluctuator is realized by a quantum dot (QD) (cf. Fig. 1), which is electrostatically coupled to the upper arm of the MZI. Since the QD has two charging states ("empty" and "occupied"), the fluctuation pattern of the charge on it defines quantum telegraph noise. Consequently, the phase accumulated along the upper arm of the MZI fluctuates between two val-Schematics of the setup. A quantum dot (QD) (red solid puddle) is capacitively coupled (black wi...

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Dephasing by a Zero-Temperature Detector and the Friedel Sum Rule

Cited by 12 publications

References 34 publications

Fermi-edge singularity in chiral one-dimensional systems far from equilibrium

Fermi-edge singularity in chiral one-dimensional systems far from equilibrium

Single molecular shuttle-junction: Shot noise and decoherence

Suppression of dephasing and phase lapses in the fractional quantum Hall regime

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