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We use a generalized Master equation (GME) formalism to describe the non-equilibrium time-dependent transport through a short quantum wire connected to semi-infinite biased leads. The contact strength between the leads and the wire are…

Mesoscale and Nanoscale Physics · Physics 2013-05-15 Kristinn Torfason , Andrei Manolescu , Valeriu Molodoveanu , Vidar Gudmundsson

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

We present a method for investigating the steady-state transport properties of one-dimensional correlated quantum systems. Using a procedure based on our analysis of finite-size effects in a related classical model (LC line) we show that…

Strongly Correlated Electrons · Physics 2012-06-28 M. Einhellinger , A. Cojuhovschi , E. Jeckelmann

We analyze the time-dependent solution of master equations by exploiting fermionic duality, a dissipative symmetry applicable to a large class of open systems describing quantum transport. Whereas previous studies mostly exploited duality…

Mesoscale and Nanoscale Physics · Physics 2023-05-03 Lara C. Ortmanns , Maarten R. Wegewijs , Janine Splettstoesser

We propose a transport probe scheme to detect the nonadiabatic transition caused by Majornana moving, which is relevant to the braiding operations in topological quantum computation. The scheme is largely based on a time dependent…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Luting Xu , Xin-Qi Li

We discuss time-dependent factorial cumulants in interacting nano-scale systems. Recent theoretical work has shown that the full counting statistics of non-interacting electrons in a two-terminal conductor is always generalized binomial and…

Mesoscale and Nanoscale Physics · Physics 2013-08-27 Dania Kambly , Christian Flindt

The study of transport and mixing processes in dynamical systems is particularly important for the analysis of mathematical models of physical systems. Barriers to transport, which mitigate mixing, are currently the subject of intense…

Dynamical Systems · Mathematics 2015-06-11 Gary Froyland

Explicit formulas are obtained for all moments and for all cumulants of the electric current through a quantum chaotic cavity attached to two ideal leads, thus providing the full counting statistics for this type of system. The approach is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marcel Novaes

Route-level travel time reliability requires characterizing the distribution of total travel time across correlated segments -- a problem where existing methods either assume independence (fast but miscalibrated) or model dependence via…

Applications · Statistics 2026-02-10 Vadim Sokolov , Refik Soyer

An exact theoretical framework based on Time Dependent Density Functional Theory (TDDFT) is proposed in order to deal with the time-dependent quantum transport in fully interacting systems. We use a \textit{partition-free} approach by Cini…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gianluca Stefanucci , Carl-Olof Almbladh

We investigate the full-counting statistics (FCS) of energy transport carried by electrons in molecular junctions for the Anderson-Holstein model in the polaronic regime. Using two-time quantum measurement scheme, generating function (GF)…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Gaomin Tang , Zhizhou Yu , Jian Wang

Numerical methods for the optimal transport problem is an active area of research. Recent work of Kitagawa and Abedin shows that the solution of a time-dependent equation converges exponentially fast as time goes to infinity to the solution…

Numerical Analysis · Mathematics 2021-04-05 Abigail Brauer , Megan Krawick , Manuel Santana

We aim at quantitatively determining transport parameters like conductivity, mean free path, etc., for simple models of spatially completely disordered quantum systems, comparable to the systems which are sometimes referred to as Lifshitz…

Disordered Systems and Neural Networks · Physics 2013-05-30 A. Khodja , H. Niemeyer , J. Gemmer

We report on measurements of single electron tunneling through a quantum dot using a quantum point contact as non-invasive charge detector with fast time response. We elaborate on the unambiguous identification of individual tunneling…

Mesoscale and Nanoscale Physics · Physics 2010-03-03 Christian Fricke , Frank Hohls , Christian Flindt , Rolf J. Haug

Stochastic exclusion processes play an integral role in the physics of non-equilibrium statistical mechanics. These models are Markovian processes, described by a classical master equation. In this paper a quantum mechanical version of a…

Quantum Physics · Physics 2015-03-13 Kristan Temme , Michael M. Wolf , Frank Verstraete

For adiabatically and periodically manipulated dissipative quantum systems we derive, using Floquet theory, a simple Markovian master equation. Contrary to some previous works we explicitly take into account the time dependence of the…

Superconductivity · Physics 2015-03-19 I. Kamleitner , A. Shnirman

A dynamical symmetry is employed to determine the structure of the quantum non-Markovian time-local master equation. Such a structure is composed from two components: scalar kinetic coefficients and the standard quantum Markovian operator…

Quantum Physics · Physics 2022-12-19 Roie Dann , Nina Megier , Ronnie Kosloff

Full counting statistics concerns the stochastic transport of electrons in mesoscopic structures. Recently it has been shown that the charge transport statistics for non-interacting electrons in a two-terminal system is always generalized…

Mesoscale and Nanoscale Physics · Physics 2011-03-04 Dania Kambly , Christian Flindt , Markus Büttiker

We introduce a class of stochastic advection problems amenable to analysis of turbulent transport. The statistics of the flow field are represented as a continuous time Markov process, a choice that captures the intuitive notion of…

Fluid Dynamics · Physics 2022-12-01 Andre N. Souza , Tyler Lutz , Glenn R. Flierl

The ubiquitous effects of the environment on quantum-mechanical systems generally cause temporally correlated fluctuations. This particularly holds for systems of interest for quantum computation where such effects lead to correlated…

Quantum Physics · Physics 2025-04-23 Balázs Gulácsi , Guido Burkard
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