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Quantum graphs with leads to infinity serve as convenient models for studying various aspects of systems which are usually attributed to chaotic scattering. They are also studied in several experimental systems and practical applications.…

Chaotic Dynamics · Physics 2015-02-23 Daniel Waltner , Uzy Smilansky

Transport through semiconductor nanostructures is a quantum-coherent process. This paper focuses on systems in which the electron's dynamics is ballistic and the transport is dominated by the scattering from structure boundaries. Opposite…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. R. Racec , P. N. Racec , U. Wulf

A theory of non-equilibrium (``shot'') noise and high frequency conductance in diffusive mesoscopic conductors with screening is presented. Detailed results are obtained for two simple geometries, for both large and short electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Naveh , D. V. Averin , K. K. Likharev

We develop the theory of a special type of scattering state in which a set of asymptotic channels are chosen as inputs and the complementary set as outputs, and there is zero reflection back into the input channels. In general an infinite…

Optics · Physics 2020-12-09 William R. Sweeney , Chia Wei Hsu , A. Douglas Stone

This is a study of phase-coherent conduction through a ballistic point contact with disordered leads. The disorder imposes mesoscopic (sample-to-sample) fluctuations and weak-localization corrections on the conductance, and also leads to…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. A. Melsen

We consider universal shot noise in ballistic chaotic cavities from a semiclassical point of view and show that it is due to action correlations within certain groups of classical trajectories. Using quantum graphs as a model system we sum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Holger Schanz , Mathias Puhlmann , Theo Geisel

We present a theoretical analysis of the effect of inelastic electron scattering on current and its fluctuations in a mesoscopic quantum dot (QD) connected to two leads, based on a recently developed nonperturbative technique involving the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Bing Dong , H. L. Cui , X. L. Lei , Norman J. M. Horing

We develop an open quantum theory for shot-noise dynamics in dissipative chiral transport. By mapping a system under consideration onto a quantum circuit, we show that current noise is governed by two competing factors: the average…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Ming Gong , Masahito Ueda

We establish large deviation formulas for linear statistics on the $N$ transmission eigenvalues $\{T_i\}$ of a chaotic cavity, in the framework of Random Matrix Theory. Given any linear statistics of interest $A=\sum_{i=1}^N a(T_i)$, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Pierpaolo Vivo , Satya N. Majumdar , Oriol Bohigas

Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Ya. M. Blanter , M. Buttiker

A short summary of the drift-diffusion-Langevin formalism for calculating finite-frequency shot noise in diffusive conductors is presented. Two new results are included in this presentation. First, we arrive at a simple (but accurate)…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Naveh

We consider the zero frequency fluctuations of charge inside a mesoscopic conductor in the large capacitance limit. In analogy to current counting statistics we derive the characteristic function of charge fluctuations in terms of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Pilgram , M. Buttiker

We consider wave propagation in a complex structure coupled to a finite number $N$ of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal aspects of the scattering process are analysed through the…

Mathematical Physics · Physics 2019-12-12 Aurélien Grabsch , Dmitry V. Savin , Christophe Texier

We formulate a theory for shot noise in quantum nanoelectromechanical systems. As a specific example, the theory is applied to a quantum shuttle, and the zero-frequency noise, measured by the Fano factor F, is computed. F reaches very low…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tomas Novotny , Andrea Donarini , Christian Flindt , Antti-Pekka Jauho

We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Keiji Saito , Taro Nagao

We study the coupled translational, electronic, and field dynamics of the combined system "a two-level atom + a single-mode quantized field + a standing-wave ideal cavity". We derive Hamilton -- Schr\"odinger equations for probability…

Quantum Physics · Physics 2009-11-07 M. Uleysky , L. Kon'kov , S. Prants

We consider a quantum wire double junction system with each wire segment described by a spinless Luttinger model, and study theoretically shot noise in this system in the sequential tunneling regime. We find that the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jaeuk U. Kim , Jari M. Kinaret , Mahn-Soo Choi

We investigate the effect of quantum noise on the measurement-induced quantum phase transition in monitored random quantum circuits. Using the efficient simulability of random Clifford circuits, we find that the transition is broadened into…

Quantum Physics · Physics 2022-08-31 Beatriz C. Dias , Domagoj Perkovic , Masudul Haque , Pedro Ribeiro , Paul A. McClarty

We study an experimental setup in which a quantum probe, provided by a quasi-monomode guided atom laser, interacts with a static localized attractive potential whose characteristic parameters are tunable. In this system, classical mechanics…

We investigate quantum and quantum-relativistic effects associated with the noise power spectrum and the fluctuation--dissipation relation between current--noise spectra and linear--response conductance at low frequencies of the…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Lino Reggiani , Federico Intini , Luca Varani
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