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We study the Coulomb blockade in a chaotic quantum dot connected to a lead by a single channel at nearly perfect transmission. We take into account quantum fluctuations of the dot charge and a finite level spacing for electron states within…

介观与纳米尺度物理 · 物理学 2009-10-30 I. L. Aleiner , L. I. Glazman

We study the charge transport statistics in coherent two-terminal double junctions within the framework of the circuit theory of mesoscopic transport. We obtain the general solution of the circuit-theory matrix equations for the Green's…

超导电性 · 物理学 2007-05-23 Mihajlo Vanevic , Wolfgang Belzig

We investigate transport properties of quantized chaotic systems in the short wavelength limit. We focus on non-coherent quantities such as the Drude conductance, its sample-to-sample fluctuations, shot-noise and the transmission spectrum,…

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

It is shown that conductance fluctuations due to phase coherent ballistic transport through a chaotic cavity generically are fractals. The graph of conductance vs. externally changed parameter, e.g. magnetic field, is a fractal with…

凝聚态物理 · 物理学 2009-10-28 Roland Ketzmerick

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

等离子体物理 · 物理学 2017-04-05 M. Vlad , F. Spineanu

We discuss the semiclassical approximation to transport problems in quantum chaotic systems. The figures of merit are moments of the transmission matrix and of the time delay matrix. After reviewing a few results obtained by treating these…

量子物理 · 物理学 2026-04-16 Marcel Novaes

We develop a statistical theory describing quantum-mechanical scattering of a particle by a cavity when the geometry is such that the classical dynamics is chaotic. This picture is relevant to a variety of systems, ranging from atomic…

介观与纳米尺度物理 · 物理学 2009-10-31 P. A. Mello , H. U. Baranger

The effect of an invasive voltage probe on the phase-coherent conduction through a ballistic chaotic cavity is investigated by random-matrix theory. The entire distribution P(G) of the conductance G is computed for the case that the cavity…

凝聚态物理 · 物理学 2007-05-23 P. W. Brouwer , C. W. J. Beenakker

In the last years, the ability of cold atoms experiments to explore condensed- matter related questions has dramatically progressed. Transport experiments, in particular, have expanded to the point that conductances and other transport…

量子气体 · 物理学 2017-09-13 Sebastian Krinner , Tilman Esslinger , Jean-Philippe Brantut

For quantum transport through mesoscopic system, a quantum master equation approach is developed in terms of compact expressions for the transport current and the reduced density matrix of the system. The present work is an extension of…

介观与纳米尺度物理 · 物理学 2009-11-10 Xin-Qi Li , Jun-Yan Luo , Yong-Gang Yang , Ping Cui , YiJing Yan

We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, non-stationary (bosonic or fermionic) reservoirs, both of which are in a thermal state. We show that, for conserved total…

The fluctuations in thermodynamic and transport properties in many-body systems gain importance as the number of constituent particles is reduced. Ultracold atomic gases provide a clean setting for the study of mesoscopic systems; however,…

量子气体 · 物理学 2021-11-11 Johannes Zeiher , Julian Wolf , Joshua A. Isaacs , Jonathan Kohler , Dan M. Stamper-Kurn

The statistical model proposed in an accompanying paper is generalized to treat multiport scattering problems. Attention is first focused on two-port lossless systems and the model is shown to be consistent with Random Matrix Theory. The…

介观与纳米尺度物理 · 物理学 2007-05-23 Xing Zheng , Thomas M. Antonsen , Edward Ott

Chaotic transport is a subject of paramount importance in a variety of problems in plasma physics, specially those related to anomalous transport and turbulence. On the other hand, a great deal of information on chaotic transport can be…

Random walks serve as important tools for studying complex network structures, yet their dynamics in cases where transition probabilities are not static remain under explored and poorly understood. Here we study nonlinear random walks that…

混沌动力学 · 物理学 2022-06-14 Digesh Chitrakar , Per Sebastian Skardal

We consider the scattering matrix approach to quantum electron transport in meso- and nano-conductors. This approach is an alternative to the more conventional kinetic equation and Green's function approaches, and often is more efficient…

介观与纳米尺度物理 · 物理学 2015-04-09 G. B. Lesovik , I. A. Sadovskyy

Self-consistent chaotic transport is studied in a Hamiltonian mean-field model. The model provides a simplified description of transport in marginally stable systems including vorticity mixing in strong shear flows and electron dynamics in…

动力系统 · 数学 2016-01-11 D. Martínez-del-Río , D. del-Castillo-Negrete , A. Olvera , R. Calleja

We report a scattering matrix theory for dynamic and nonlinear transport in coherent mesoscopic conductors. In general this theory allows predictions of low frequency linear dynamic conductance, as well as weakly nonlinear DC conductance.…

凝聚态物理 · 物理学 2009-10-30 Zhong-shui Ma , Jian Wang , Hong Guo

The conductance of a ballistic quantum dot (having chaotic classical dynamics and being coupled by ballistic point contacts to two electron reservoirs) is computed on the single assumption that its scattering matrix is a member of Dyson's…

凝聚态物理 · 物理学 2009-10-22 R. A. Jalabert , J. -L. Pichard , C. W. J. Beenakker

We present a discussion of the charge response and the charge fluctuations of mesoscopic chaotic cavities in terms of a generalized Wigner-Smith matrix. The Wigner-Smith matrix is well known in investigations of time-delay of quantum…

介观与纳米尺度物理 · 物理学 2007-05-23 M. Buttiker , M. L. Polianski