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We propose a simple semiclassical method for calculating higher-order cumulants of current in multichannel mesoscopic conductors. To demonstrate its efficiency, we calculate the third and fourth cumulants of current for a chaotic cavity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. E. Nagaev , P. Samuelsson , S. Pilgram

We consider the steady-state nonequilibrium behavior of mesoscopic superconducting wires connected to normal-metal reservoirs. Going beyond the diffusive limit, we utilize the quasiclassical theory and perform a self-consistent calculation…

Superconductivity · Physics 2021-11-22 Kevin Marc Seja , Tomas Löfwander

The standard semiclassical calculation of transmission correlation functions for chaotic systems is severely influenced by unitarity problems. We show that unitarity alone imposes a set of relationships between cross sections correlation…

Chaotic Dynamics · Physics 2009-11-07 Raul O. Vallejos , Caio H. Lewenkopf

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

In order to simulate observational and experimental situations, we consider a leak in the phase space of a chaotic dynamical system. We obtain an expression for the escape rate of the survival probability applying the theory of transient…

Chaotic Dynamics · Physics 2009-02-02 Eduardo G. Altmann , Tamas Tel

We consider the nonlinear Schr{\"o}dinger equation with a short-range external potential, in a semi-classical scaling. We show that for fixed Planck constant, a com-plete scattering theory is available, showing that both the potential and…

Analysis of PDEs · Mathematics 2020-12-16 Rémi Carles

Classically integrable approximants are here constructed for a family of predominantly chaotic periodic systems by means of the Baker-Hausdorff-Campbell formula. We compare the evolving wave density for the corresponding exact quantum…

Chaotic Dynamics · Physics 2020-05-26 Gabriel M. Lando , Alfredo M. Ozorio de Almeida

The time dependent density matrix of a system with potential barrier is studied using path integrals. The characterization of the initial state, which is assumed to be restricted to one side of the barrier, and the time evolution of the…

Statistical Mechanics · Physics 2009-10-31 Joachim Ankerhold , Hermann Grabert

We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of the quantum time delay to properties of the…

chao-dyn · Physics 2009-10-30 R. O. Vallejos , A. M. Ozorio de Almeida , C. H. Lewenkopf

We analyze the dynamical generation of entanglement in systems of two interacting spins initially prepared in a product of spin coherent states. For arbitrary time-independent Hamiltonians, we derive a semiclassical expression for the…

Quantum Physics · Physics 2012-05-29 A. D. Ribeiro , R. M. Angelo

A method to derive the charge current density and its quantum mechanical correlation from the scattering matrix is discussed for quantum scattering systems described by a time-dependent Hamiltonian operator. The current density and charge…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Tooru Taniguchi

We investigate electron transport through clean open quantum dots (quantum billiards). We present a semiclassical theory that allows to accurately reproduce quantum transport calculations. Quantitative agreement is reached for individual…

Mesoscale and Nanoscale Physics · Physics 2010-04-30 Iva Brezinova , Ludger Wirtz , Stefan Rotter , Christoph Stampfer , Joachim Burgdorfer

Semiclassical methods can now explain many mesoscopic effects (shot-noise, conductance fluctuations, etc) in clean chaotic systems, such as chaotic quantum dots. In the deep classical limit (wavelength much less than system size) the…

Mesoscale and Nanoscale Physics · Physics 2020-12-21 Robert S. Whitney

Conductance and shot noise of an open cavity with diffusive boundary scattering are calculated within the Boltzmann-Langevin approach. In particular, conductance contains a non-universal geometric contribution, originating from the presence…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , E. V. Sukhorukov

We use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd

Employing the path integral approach, we calculate the semiclassical equilibrium density matrix of a particle moving in a nonlinear potential field for coordinates near the top of a potential barrier. As the temperature is decreased, near a…

Quantum Physics · Physics 2015-06-26 F. J. Weiper , J. Ankerhold , H. Grabert

The Kubo formula for the conductance of classically chaotic systems is analyzed semiclassically, yielding simple expressions for the mean and the variance of the quantum interference terms. In contrast to earlier work, here times longer…

Condensed Matter · Physics 2016-08-31 Nathan Argaman

The dynamical generation of entanglement in closed bipartite systems is investigated in the semiclassical regime. We consider a model of two particles, initially prepared in a product of coherent states, evolving in time according to a…

Quantum Physics · Physics 2015-05-19 A. D. Ribeiro , R. M. Angelo

We consider the quantum evolution of classically chaotic systems in contact with surroundings. Based on $\hbar$-scaling of an equation for time evolution of the Wigner's quasi-probability distribution function in presence of dissipation and…

chao-dyn · Physics 2015-06-24 B. C. Bag , S. Chaudhuri , J. Ray Chaudhuri , D. S. Ray

While a wealth of results has been obtained for chaos in single-particle quantum systems, much less is known about chaos in quantum many-body systems. We contribute to recent efforts to make a semiclassical analysis of such systems…

Chaotic Dynamics · Physics 2017-04-26 Maram Akila , Daniel Waltner , Boris Gutkin , Petr Braun , Thomas Guhr