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In the framework of semiclassical theory the universal properties of quantum systems with classically chaotic dynamics can be accounted for through correlations between partner periodic orbits with small action differences. So far, however,…

混沌动力学 · 物理学 2016-02-17 Boris Gutkin , Vladimir Osipov

We show that Anderson localization in quasi-one dimensional conductors with ballistic electron dynamics, such as an array of ballistic chaotic cavities connected via ballistic contacts, can be understood in terms of classical electron…

介观与纳米尺度物理 · 物理学 2009-11-13 Piet W. Brouwer , Alexander Altland

Electronic transport through chaotic quantum dots exhibits universal, system independent, properties, consistent with random matrix theory. The quantum transport can also be rooted, via the semiclassical approximation, in sums over the…

混沌动力学 · 物理学 2013-03-06 Gregory Berkolaiko , Jack Kuipers

We study the magneto-transport in Aharonov-Bohm (AB) billiards forming doubly connected structures. In these systems, non-averaged conductance oscillates as a function of magnetic flux with period h/e. We derive formulas of the correlation…

chao-dyn · 物理学 2007-05-23 Shiro Kawabata

We propose a matrix model which embodies the semiclassical approach to the problem of quantum transport in chaotic systems. Specifically, a matrix integral is presented whose perturbative expansion satisfies precisely the semiclassical…

混沌动力学 · 物理学 2013-12-04 Marcel Novaes

An initial coherent state is propagated exactly by a kicked quantum Hamiltonian and its associated classical stroboscopic map. The classical trajectories within the initial state are regular for low kicking strengths, then bifurcate and…

混沌动力学 · 物理学 2019-07-16 Gabriel M. Lando , Alfredo M. Ozorio de Almeida

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

介观与纳米尺度物理 · 物理学 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

We study spin effects in the magneto-conductance of ballistic mesoscopic systems subject to inhomogeneous magnetic fields. We present a numerical approach to the spin-dependent Landauer conductance which generalizes recursive Green function…

介观与纳米尺度物理 · 物理学 2009-11-10 Diego Frustaglia , Martina Hentschel , Klaus Richter

A semiclassical theory of spin dynamics and transport is formulated using the Dirac electron model. This is done by constructing a wavepacket from the positive-energy electron band, and studying its structure and center of mass motion. The…

介观与纳米尺度物理 · 物理学 2013-12-10 Chih-Piao Chuu , Ming-Che Chang , Qian Niu

Scattering theory is employed to derive a Landauer-type formula for the spin and the charge currents, through a finite region where spin-orbit interactions are effective. It is shown that the transmission matrix yields the spatial direction…

介观与纳米尺度物理 · 物理学 2015-05-14 O. Entin-Wohlman , A. Aharony , Y. Tokura , Y. Avishai

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…

混沌动力学 · 物理学 2017-04-26 Maram Akila , Daniel Waltner , Boris Gutkin , Petr Braun , Thomas Guhr

In a recent letter [Phys. Rev. Lett. {\bf 100}, 164101 (2008)] and within the context of quantized chaotic billiards, random plane wave and semiclassical theoretical approaches were applied to an example of a relatively new class of…

介观与纳米尺度物理 · 物理学 2013-05-29 Denis Ullmo , Steven Tomsovic , Arnd Baecker

We discuss the quasiclassical Green function method for a two-dimensional electron gas in the presence of spin-orbit coupling, with emphasis on the meaning of the $\xi$-integration procedure. As an application of our approach, we…

介观与纳米尺度物理 · 物理学 2009-11-13 Cosimo Gorini , Peter Schwab , Michael Dzierzawa , Roberto Raimondi

We present a semiclassical theory for the scattering matrix ${\cal S}$ of a chaotic ballistic cavity at finite Ehrenfest time. Using a phase-space representation coupled with a multi-bounce expansion, we show how the Liouville conservation…

介观与纳米尺度物理 · 物理学 2007-05-23 Robert S. Whitney , Ph. Jacquod

The Kubo formula for the conductance of a mesoscopic system is analyzed semiclassically, yielding simple expressions for both weak localization and universal conductance fluctuations. In contrast to earlier work which dealt with times…

凝聚态物理 · 物理学 2009-10-28 Nathan Argaman

For chaotic cavities with scattering leads attached, transport properties can be approximated in terms of the classical trajectories which enter and exit the system. With a semiclassical treatment involving fine correlations between such…

混沌动力学 · 物理学 2015-05-20 Gregory Berkolaiko , Jack Kuipers

We demonstrate the existence of an interference contribution to the average magnetoconductance, G(B), of ballistic cavities and use it to test the semiclassical theory of quantum billiards. G(B) is qualitatively different for chaotic and…

凝聚态物理 · 物理学 2009-01-23 H. U. Baranger , R. A. Jalabert , A. D. Stone

Quantized systems whose underlying classical dynamics possess an elaborate mixture of regular and chaotic motion can exhibit rather subtle long-time quantum transport phenomena. In a short wavelength regime where semiclassical theories are…

混沌动力学 · 物理学 2013-05-29 Christoph-Marian Goletz , Frank Grossmann , Steven Tomsovic

We study a general bipartite quantum system consisting of a spin interacting with a bosonic field, with the initial state prepared as the product of a spin coherent state and a canonical coherent state. Our goal is to develop a…

量子物理 · 物理学 2026-01-23 Matheus V. Scherer , Lea F. Santos , Alexandre D. Ribeiro

We develop a semiclassical theory of superconducting quasiparticles for proximity-induced superconducting systems, where spin-orbit coupling plays a critical role in shaping the quasiparticle dynamics. We reveal the structure of…

超导电性 · 物理学 2026-01-01 Zhen-Cheng Liao , Cong Xiao , Zhi Wang , Qian Niu