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We study how dephasing affects the distribution of the dc current pumped through a chaotic quantum dot. We introduce dephasing by the addition of a voltage probe to the quantum dot, treating both the case of controlled dephasing (when the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. N. H. J. Cremers , P. W. Brouwer

Voltage and dephasing probes introduce incoherent inelastic and incoherent quasi-elastic scattering into a coherent mesoscopic conductor. We discuss in detail the concepts of voltage and dephasing probes and develop a full counting…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Heidi Forster , Peter Samuelsson , Sebastian Pilgram , Markus Buttiker

We consider the distribution of conductance fluctuations in disordered quantum dots with single channel leads. Using a perturbative diagrammatic approach, valid for continuous level spectra, we describe dephasing due to processes within the…

Condensed Matter · Physics 2009-10-30 Edward McCann , Igor V. Lerner

As an alternative to Buttiker's dephasing lead model, we examine a dephasing stub. Both models are phenomenological ways to introduce decoherence in chaotic scattering by a quantum dot. The difference is that the dephasing lead opens up the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. W. J. Beenakker , B. Michaelis

The voltage probe model is a model of incoherent scattering in quantum transport. Here we use this model to study the effect of spin-flip scattering on electrical conduction through a quantum dot with chaotic dynamics. The spin decay rate…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Michaelis , C. W. J. Beenakker

Random matrix theory can be used to describe the transport properties of a chaotic quantum dot coupled to leads. In such a description, two approaches have been taken in the literature, considering either the Hamiltonian of the dot or its…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M L Polianski , P W Brouwer

A dephasing model in the spirit of Buttiker's fictitious probe model where infinite probes are distributed uniformly over the conductor is proposed. The dephasing rate enters into the model as an adjustable parameter and to compute the…

Mesoscale and Nanoscale Physics · Physics 2008-12-31 S. Senozan , S. Turgut , M. Tomak

We study the quantum capacity of continuous variable dephasing channel, which is a notable example of non-Gaussian quantum channel. We prove that a single letter formula applies. We then consider input energy restriction and show that by…

Quantum Physics · Physics 2021-03-24 Amir Arqand , Laleh Memarzadeh , Stefano Mancini

We calculate the cumulants of the charge transmitted through a chaotic cavity in the limit that the two openings have a large number of scattering channels. The shot noise, which is the second cumulant, is known to be insensitive to…

Condensed Matter · Physics 2007-05-23 Ya. M. Blanter , H. Schomerus , C. W. J. Beenakker

In mesoscopic systems to study the role of inelastic scattering on the phase coherent motion of electrons two phenomenological models have been proposed. In the first one, due to B\"uttiker, one adds a voltage probe into the system (or in…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 T. P. Pareek , Sandeep K. Joshi , A. M. Jayannavar

We analyze dephasing in single and double quantum dot systems. The decoherence is introduced by the B\"{u}ttiker model with current conserving fictitious voltage leads connected to the dots. By using the non-equilibrium Green function…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Junren Shi , Zhongshui Ma , X. C. Xie

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf

We consider the dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect. Using perturbation theory, we show that this rate has an anomalous dependence on the bias…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thi Kim Thanh Nguyen , Adeline Crepieux , Thibaut Jonckheere , Ai Viet Nguyen , Yeoshua Levinson , Thierry Martin

Using the theory of diffusion in graphs, we propose a model to study mesoscopic transport through a diffusive quantum dot. The graph consists of three quasi-1D regions: a central region describing the dot, and two identical left- and right-…

Mesoscale and Nanoscale Physics · Physics 2012-04-03 Maximilian Treiber , Oleg Yevtushenko , Jan von Delft

We investigate the effect of dephasing/decoherence on quantum transport through open chaotic ballistic conductors in the semiclassical limit of small Fermi wavelength to system size ratio, $\lambda_F/L << 1$. We use the trajectory-based…

Mesoscale and Nanoscale Physics · Physics 2008-02-17 Robert S. Whitney , Philippe Jacquod , Cyril Petitjean

We have computed the probability distribution of the conductance of a ballistic and chaotic cavity which is connected to two electron reservoirs by leads with a single propagating mode, for arbitrary values of the transmission probability…

Condensed Matter · Physics 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

We compare two phenomenological models of dephasing that are in use recently. We show that the stochastic absorption model leads to reasonable dephasing in series (double barrier) and parallel (ring) quantum resistors in presence and…

Mesoscale and Nanoscale Physics · Physics 2010-05-28 Swarnali Bandopadhyay , Debasish Chaudhuri , Arun M. Jayannavar

We study the conductance statistical features of ballistic electrons flowing through a chaotic quantum dot. We show how the temperature affects the universal conductance fluctuations by analyzing the influence of dephasing and thermal…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. R. P. Alves , C. H. Lewenkopf

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hans-Juergen Sommers , Dmitry V. Savin , Valentin V. Sokolov
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