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We show that the semiclassical approach to chaotic quantum transport in the presence of time-reversal symmetry can be described by a matrix model, i.e. a matrix integral whose perturbative expansion satisfies the semiclassical diagrammatic…

混沌动力学 · 物理学 2015-02-11 Marcel Novaes

We study the fluctuations of generic currents in multi-terminal, multi-channel quantum transport settings. In the quantum regime, these fluctuations and the resulting precision differ strongly depending on whether the device is of fermionic…

介观与纳米尺度物理 · 物理学 2025-04-08 Didrik Palmqvist , Ludovico Tesser , Janine Splettstoesser

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

无序系统与神经网络 · 物理学 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

Statistical fluctuations in the eigenvalues of the scattering, impedance and admittance matrices of 2-Port wave-chaotic systems are studied experimentally using a chaotic microwave cavity. These fluctuations are universal in that their…

无序系统与神经网络 · 物理学 2009-09-15 Sameer Hemmady , Xing Zheng , James Hart , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

The linear response conductance coefficients are calculated in the scattering approach at finite frequency, damping and magnetic field for a microstructure in which the reservoirs are modeled as quantum wire leads of infinite length but…

介观与纳米尺度物理 · 物理学 2009-10-30 Jens U. Noeckel , Klaus Richter

Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described…

凝聚态物理 · 物理学 2009-10-22 Herbert Schoeller , Gerd Schoen

Fluctuations are significant in mesoscopic systems and of particular importance in understanding quantum transport. Here, we show that fluctuations can be considered as a resource for the operations of open quantum systems as functional…

介观与纳米尺度物理 · 物理学 2020-09-16 Jincheng Lu , Rongqian Wang , Chen Wang , Jian-Hua Jiang

We investigate the microscopic features of bosonic quantum transport in a non-equilibrium steady state, which breaks time reversal invariance spontaneously. The analysis is based on the probability distributions, generated by the…

统计力学 · 物理学 2022-04-19 Mihail Mintchev , Luca Santoni , Paul Sorba

The classical dynamics in stationary potentials that are random both in space and time is studied. It can be intuitively understood with the help of Chirikov resonances that are central in the theory of Chaos, and explored quantitatively in…

统计力学 · 物理学 2013-08-30 Yevgeny Krivolapov , Shmuel Fishman

We analyze the full-counting statistics of the electric heat current flowing in a two-terminal quantum conductor whose temperature is probed by a third electrode ("probe electrode"). In particular we demonstrate that the cumulant-generating…

介观与纳米尺度物理 · 物理学 2014-05-26 Y. Utsumi , O. Entin-Wohlman , A. Aharony , T. Kubo , Y. Tokura

We present a trajectory-based semiclassical calculation of the full counting statistics of quantum transport through chaotic cavities, in the regime of many open channels. Our method to obtain the $m$th moment of the density of transmission…

介观与纳米尺度物理 · 物理学 2008-10-03 G. Berkolaiko , J. M. Harrison , M. Novaes

Some recent publications by authors from the University of Maryland analyse the fluctuations of multi-port model parameters in stochastic environments. These authors use random matrix theory (RMT) for estimates concerning eigenfunction…

数学物理 · 物理学 2011-11-10 Bastiaan Michielsen , Francois Issac , Isabelle Junqua , Cecile Fiachetti

A quantum finite multi-barrier system, with a periodic potential, is considered and exact expressions for its plane wave amplitudes are obtained using the Transfer Matrix method [10]. This quantum model is then associated with a stochastic…

统计力学 · 物理学 2019-06-26 Emilio N. M. Cirillo , Matteo Colangeli , Lamberto Rondoni

We present a theory for Coulomb drag between two mesoscopic systems which expresses the drag in terms of scattering matrices and wave functions. The formalism can be applied to both ballistic and disordered systems and the consequences can…

介观与纳米尺度物理 · 物理学 2007-05-23 Niels Asger Mortensen , Karsten Flensberg , Antti-Pekka Jauho

We consider bosonic transport through one-dimensional spin systems. Transport is induced by coupling the spin systems to bosonic reservoirs kept at different temperatures. In the limit of weak-coupling between spins and bosons we apply the…

统计力学 · 物理学 2014-05-26 Gernot Schaller , Malte Vogl , Tobias Brandes

We study the statistical properties of the time delay matrix $Q$ in the context of quantum transport through a chaotic cavity, in the absence of time-reversal invariance. First, we approach the problem from the point of view of random…

混沌动力学 · 物理学 2015-07-23 Marcel Novaes

The low frequency quantum transport properties of a three-probe mesoscopic conductor are studied using B\"uttiker's AC transport formalism. The static transmission coefficients and emittance matrix of the system were computed by explicitly…

介观与纳米尺度物理 · 物理学 2009-10-30 Qingrong Zheng , Jian Wang , Hong Guo

The intrinsic dynamical complexity of classically chaotic systems enforces a universal description of the transport properties of their wave-mechanical analogues. These universal rules have been established within the framework of linear…

光学 · 物理学 2023-01-02 Cheng-Zhen Wang , Rodion Kononchuk , Ulrich Kuhl , Tsampikos Kottos

This is a cursory overview of applications of concepts from random matrix theory (RMT) to quantum electronics and classical & quantum optics. The emphasis is on phenomena, predicted or explained by RMT, that have actually been observed in…

介观与纳米尺度物理 · 物理学 2011-09-06 C. W. J. Beenakker

Electron transport in mesoscopic conductors has traditionally involved investigations of the mean current and the fluctuations of the current. A complementary view on charge transport is provided by the distribution of waiting times between…

介观与纳米尺度物理 · 物理学 2012-05-08 Mathias Albert , Géraldine Haack , Christian Flindt , Markus Büttiker