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The description of interacting quantum impurity models in steady-state nonequilibrium is an open challenge for computational many-particle methods: the numerical requirement of using a finite number of lead levels and the physical…

Strongly Correlated Electrons · Physics 2016-11-08 Frauke Schwarz , Moshe Goldstein , Antonius Dorda , Enrico Arrigoni , Andreas Weichselbaum , Jan von Delft

The numerical renormalization group (NRG) is tailored to describe interacting impurity models in equilibrium, but faces limitations for steady-state nonequilibrium, arising, e.g., due to an applied bias voltage. We show that these…

Strongly Correlated Electrons · Physics 2019-01-04 Frauke Schwarz , Ireneusz Weymann , Jan von Delft , Andreas Weichselbaum

The study of open system dynamics is of paramount importance both from its fundamental aspects as well as from its potential applications in quantum technologies. In the simpler and most commonly studied case, the dynamics of the system can…

Quantum Physics · Physics 2026-01-26 Leonardo da Silva Souza , Fernando Iemini

In this work we analyze the nonequilibrium transport through a quantum impurity (quantum dot or molecule) attached to ferromagnetic leads by using a hybrid numerical renormalization group-time-dependent density matrix renormalization group…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Anand Manaparambil , Andeas Weichselbaum , Jan von Delft , Ireneusz Weymann , .

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

Quantum impurities can host exotic many-body states that serve as sensitive probes of bath correlations. However, quantitative and non-perturbative methods for determining impurity thermodynamics in such settings remain scarce. Here, we…

Strongly Correlated Electrons · Physics 2026-01-09 Tao Yang , Z. Y. Xie , Rui Wang , Baigeng Wang

A hybrid approach to nonequilibrium dynamics of quantum impurity systems is presented. The numerical renormalization group serves as a means to generate a suitable low-energy Hamiltonian, allowing for an accurate evaluation of the real-time…

Strongly Correlated Electrons · Physics 2013-03-20 Fabian Guettge , Frithjof B. Anders , Ulrich Schollwoeck , Eitan Eidelstein , Avraham Schiller

Wilson's Numerical Renormalization Group (NRG) is so far the only nonperturbative technique that can reliably access low-energy properties of quantum impurity systems. We present a recent extension of the method, the DM-NRG, which yields…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Walter Hofstetter

We develop a perturbative renormalization-group method in real time to describe nonequilibrium properties of discrete quantum systems coupled linearly to an environment. We include energy broadening and dissipation and develop a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Herbert Schoeller , Jürgen König

We present improvements of a recently introduced numerical method [Arrigoni etal, Phys. Rev. Lett. 110, 086403 (2013)] to compute steady state properties of strongly correlated electronic systems out of equilibrium. The method can be…

Strongly Correlated Electrons · Physics 2015-12-22 Irakli Titvinidze , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

We develop a general approach to the nonequilibrium dynamics of quantum impurity systems for arbitrary coupling strength. The numerical renormalization group is used to generate a complete basis set necessary for the correct description of…

Strongly Correlated Electrons · Physics 2007-05-23 Frithjof B. Anders , Avraham Schiller

We develop a method of calculating the nonequilibrium steady state (NESS) of an open quantum system that is weakly coupled to reservoirs in different equilibrium states. We describe the system using a Redfield-type quantum master equation…

Statistical Mechanics · Physics 2014-12-09 Tatsuro Yuge , Ayumu Sugita

We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find…

Quantum Physics · Physics 2011-11-15 Marko Znidaric

Laser technology has developed and accelerated photo-induced nonequilibrium physics from both scientific and engineering viewpoints. The Floquet engineering, i.e., controlling material properties and functionalities by time-periodic drives,…

Statistical Mechanics · Physics 2020-07-07 Tatsuhiko N. Ikeda , Masahiro Sato

The resonant-level model represents a paradigmatic quantum system which serves as a basis for many other quantum impurity models. We provide a comprehensive analysis of the non-equilibrium transport near a quantum phase transition in a…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Chung-Hou Chung , Karyn Le Hur , Gleb Finkelstein , Matthias Vojta , Peter Woelfle

Realistic quantum systems are affected by environmental loss, which is often seen as detrimental for applications in quantum technologies. Alternatively, weak coupling to an environment can aid in stabilizing highly entangled and mixed…

Quantum Physics · Physics 2025-03-14 Koray Aydoğan , Anthony W. Schlimgen , Kade Head-Marsden

The continuous coupling function in quantum impurity problems is exactly partitioned into a part represented by a finite size Wilson chain and a part represented by a set of additional reservoirs, each coupled to one Wilson chain site.…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Jan Böker , Frithjof B. Anders

We present a numerical method for the study of correlated quantum impurity problems out of equilibrium, which is particularly suited to address steady state properties within Dynamical Mean Field Theory. The approach, recently introduced in…

Strongly Correlated Electrons · Physics 2014-04-08 Antonius Dorda , Martin Nuss , Wolfgang von der Linden , Enrico Arrigoni

We investigate the out-of-equilibrium properties of a simple quantum impurity model, the interacting resonant level model (IRLM). We focus on the scaling regime, where the bandwidth of the fermions in the leads is larger than all the other…

Strongly Correlated Electrons · Physics 2017-12-06 Kemal Bidzhiev , Grégoire Misguich

This article presents a tutorial introduction to a recently developed real-time renormalization group method. It describes nonequilibrium properties of discrete quantum systems coupled linearly to an environment. We illustrate the technique…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Schoeller
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