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We study the interplay between strong correlations and Markovian dephasing, resulting from monitoring the charge or spin degrees of freedom of a quantum dot described by a dissipative Anderson impurity model. Using the Auxiliary master…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Daniel Werner , Matthieu Vanhoecke , Marco Schirò , Enrico Arrigoni

We study the quantum electron transport in a one-dimensional interacting electron system, called Schmid model, reformulating the model in terms of the bosonic string theory on a disk. The particle-kink duality of the model is discussed in…

High Energy Physics - Theory · Physics 2015-09-02 Taejin Lee

We use Lippman-Schwinger scattering theory to study nonequilibrium electron transport through an interacting open quantum dot. The two-particle current is evaluated exactly while we use perturbation theory to calculate the current when the…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Dibyendu Roy , Abhiram Soori , Diptiman Sen , Abhishek Dhar

We study non-equilibrium electron transport through a quantum impurity coupled to metallic leads using the equation of motion technique at finite temperature T. Assuming that the interactions are taking place solely in the impurity and…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 C. A. Balseiro , Gonzalo Usaj , M. J. Sanchez

The simulation of strongly correlated quantum impurity models is a significant challenge in modern condensed matter physics that has multiple important applications. Thus far, the most successful methods for approaching this challenge…

Strongly Correlated Electrons · Physics 2024-01-22 A. Erpenbeck , W. -T. Lin , T. Blommel , L. Zhang , S. Iskakov , L. Bernheimer , Y. Núñez-Fernández , G. Cohen , O. Parcollet , X. Waintal , E. Gull

The nonequilibrium spectral properties of the Anderson impurity model with a chemical potential bias are investigated within a numerically exact real time quantum Monte Carlo formalism. The two-time correlation function is computed in a…

Strongly Correlated Electrons · Physics 2014-04-11 Guy Cohen , Emanuel Gull , David R. Reichman , Andrew J. Millis

Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the…

Statistical Mechanics · Physics 2007-12-12 Tooru Taniguchi , E. G. D. Cohen

We calculate the width $2\Delta_{\text{CT}}$ and intensity of the charge-transfer peak (the one lying at the on-site energy $E_d$) in the impurity spectral density of states as a function of $E_d$ in the SU($N$) impurity Anderson model…

Strongly Correlated Electrons · Physics 2018-01-31 J. Fernández , F. Lisandrini , P. Roura-Bas , C. Gazza , A. A. Aligia

We introduce a numerical tensor-network method to compute the statistics of the charge transferred across an interface partitioning an interacting one-dimensional many-body lattice system with $U(1)$ symmetry. Our approach is based on a…

Quantum Physics · Physics 2026-04-01 Hari Kumar Yadalam , Mark T. Mitchison

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Digital quantum computers have the potential to study the dynamics of complex quantum systems. Nonequilibrium open quantum systems are, however, less straightforward to be implemented. Here we consider a collisional model representation of…

Quantum Physics · Physics 2023-10-02 Rebecca Erbanni , Xiansong Xu , Tommaso Demarie , Dario Poletti

We introduce a framework for describing the real-time dynamics of quantum impurity models out of equilibrium which is based on the influence matrix approach. By replacing the dynamical map of a large fermionic quantum environment with an…

Strongly Correlated Electrons · Physics 2025-11-12 Michael Sonner , Valentin Link , Dmitry A. Abanin

Within the recently introduced auxiliary master equation approach it is possible to address steady state properties of strongly correlated impurity models, small molecules or clusters efficiently and with high accuracy. It is particularly…

Strongly Correlated Electrons · Physics 2015-12-10 Antonius Dorda , Martin Ganahl , Hans Gerd Evertz , Wolfgang von der Linden , Enrico Arrigoni

We investigate quantum phase transitions in the extended periodic Anderson model, which includes electron correlations within and between itinerant and localized bands. We calculate zero and finite temperature properties of the system using…

Strongly Correlated Electrons · Physics 2009-11-13 Akihisa Koga , Norio Kawakami , Robert Peters , Thomas Pruschke

We derive and apply a general scheme for mapping a setup consisting of a half-filled single level quantum dot coupled to one normal metallic and two superconducting phase-biased leads onto an ordinary half-filled single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2021-08-03 Peter Zalom , Vladislav Pokorný , Tomáš Novotný

Quantum tunneling dominates coherent transport at low temperatures in many systems of great interest. In this work we report a many--body tunneling (MBT), by nonperturbatively solving the Anderson multi-impurity model, and identify it a…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 WenJie Hou , YuanDong Wang , JianHua Wei , ZhenGang Zhu , YiJing Yan

We introduce a quasiclassical Green function approach describing the unitary yet irreversible dynamics of quantum systems effectively acting as their own environment. Combining a variety of concepts of quantum many-body theory, notably the…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Alexander Altland , Kun Woo Kim , Tobias Micklitz

This review is devoted to the different techniques that have been developed to compute the phase-coherent transport properties of quantum nanoelectronic systems connected to electrodes. Beside a review of the different algorithms proposed…

Using detailed balance and scaling properties of integrals that appear in the Coulomb gas reformulation of quantum impurity problems, we establish exact relations between the nonequilibrium transfer rates of the boundary sine-Gordon and the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Holger Baur , Andrea Fubini , Ulrich Weiss

We generalize the hierarchical equations of motion method to study electron transport through a quantum dot or molecule coupled to one-dimensional interacting leads that can be described as Luttinger liquids. Such leads can be realized, for…

Mesoscale and Nanoscale Physics · Physics 2017-05-09 Jun-ichi Okamoto , Ludwig Mathey , Rainer Härtle