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The central philosophy of statistical mechanics (stat-mech) and random-matrix theory of complex systems is that while individual instances are essentially intractable to simulate, the statistical properties of random ensembles obey simple…

Quantum Physics · Physics 2022-10-04 Andrew C. Potter , Romain Vasseur

The study shows that presence of the quantum coherent, unitary component of the evolution of the system can improve constancy of heat engines, i.e., decrease fluctuations of the output power, in comparison with purely stochastic setups.…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Krzysztof Ptaszynski

Coherent states provide a natural connection of quantum systems to their classical limit and are employed in various fields of physics. Here we derive general systematic expansions, with respect to quantum parameters, of expectation values…

Quantum Physics · Physics 2015-08-13 John Schliemann

We investigate the full counting statistics of charge transport in $U(1)$-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system,…

Quantum Physics · Physics 2023-12-04 Ewan McCulloch , Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur

Waiting time distribution and the zero-frequency full counting statistics of unidirectional electron transport through a double quantum dot molecule attached to spin-polarized leads are analyzed using the quantum master equation. The…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Krzysztof Ptaszynski

The statistics of fluctuations on large regions of space encodes universal properties of many-body systems. At equilibrium, it is described by thermodynamics. However, away from equilibrium such as after quantum quenches, the fundamental…

Statistical Mechanics · Physics 2025-08-01 David X. Horvath , Benjamin Doyon , Paola Ruggiero

Within the abstract framework of dynamical system theory we describe a general approach to the Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibrium statistical mechanics. Our main…

Mathematical Physics · Physics 2011-06-21 Vojkan Jakšić , Claude-Alain Pillet , Luc Rey-Bellet

We theoretically study the conditional counting statistics of electron transport through a system consisting of a single quantum dot (SQD) or coherently coupled double quantum dots (DQD's) monitored by a nearby quantum point contact (QPC)…

Mesoscale and Nanoscale Physics · Physics 2017-12-01 Yen-Jui Chang , Tsung-Kang Yeh , Chao-Hung Wan , D. Wahyu Utami , Gerard J. Milburn , Hsi-Sheng Goan

Following on from our recent work, we investigate a stochastic approach to non-equilibrium quantum spin systems. We show how the method can be applied to a variety of physical observables and for different initial conditions. We provide…

Statistical Mechanics · Physics 2020-01-24 S. De Nicola , B. Doyon , M. J. Bhaseen

An overview is given of recent advances in nonequilibrium statistical mechanics about the statistics of random paths and current fluctuations. Although statistics is carried out in space for equilibrium statistical mechanics, statistics is…

Statistical Mechanics · Physics 2016-04-12 Pierre Gaspard

We present a theory of coherent quantum transport in ferromagnetic/ non-magnetic/ ferromagnetic heterojunctions. We predict quantum coherence to give rise to a quantum spin valve effect that, unlike its familiar classical analog, occurs…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Francisco Mireles , George Kirczenow

We derive a stochastic path integral representation of counting statistics in semi-classical systems. The formalism is introduced on the simple case of a single chaotic cavity with two quantum point contacts, and then further generalized to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Pilgram , A. N. Jordan , E. V. Sukhorukov , M. Buttiker

We study analytically the full counting statistics of charge transport through single molecules, strongly coupled to a weakly damped vibrational mode. The specifics of transport in this regime - a hierarchical sequence of avalanches of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , M. E. Raikh , Felix von Oppen

The coherent control of multi-partite quantum systems presents one of the central prerequisites in state-of-the-art quantum information processing. With the added benefit of inherent high-fidelity detection capability, atomic quantum…

Quantum Physics · Physics 2022-12-07 Jan Schütz , Alexander Martin , Sanah Laschinger , Gerhard Birkl

Stochastic systems often exhibit multiple viable metastable states that are long-lived. Over very long timescales, fluctuations may push the system to transition between them, drastically changing its macroscopic configuration. In realistic…

Statistical Mechanics · Physics 2023-04-14 Tobias Grafke , Alessandro Laio

Current fluctuations can provide additional insight into quantum transport in mesoscopic systems. The present work is carried out for the fluctuation properties of transport through a pair of coupled quantum dots which are connected with…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 JunYan Luo , Xin-Qi Li , YiJing Yan

We investigate coherent electron-switching transport in a double quantum waveguide system in a perpendicular static or vanishing magnetic field. The finite symmetric double waveguide is connected to two semi-infinite leads from both ends.…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Nzar Rauf Abdullah , Chi-Shung Tang , Andrei Manolescu , Vidar Gudmundsson

We study the quench dynamics in free fermionic systems in the prototypical bipartitioning protocol obtained by joining two semi-infinite subsystems prepared in different states, aiming at understanding the interplay between quantum…

Quantum Physics · Physics 2021-09-22 Tony Jin , Tristan Gautié , Alexandre Krajenbrink , Paola Ruggiero , Takato Yoshimura

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

Coherent information quantifies the transmittable quantum information through a channel and is directly linked to the channel's quantum capacity. In a monitored quantum circuit, regarded as a quantum channel, extensive and positive coherent…

Quantum Physics · Physics 2025-12-11 Dongheng Qian , Jing Wang