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Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

We present a general formalism that allows for the computation of large-order renormalized expansions in the spacetime representation, effectively doubling the numerically attainable perturbation order of renormalized Feynman diagrams. We…

Strongly Correlated Electrons · Physics 2020-11-12 Riccardo Rossi , Fedor Simkovic , Michel Ferrero

Nonlinear tunneling current through a quantum dot (an Anderson impurity system) subject to both constant and alternating electric fields is studied in the Kondo regime. A systematic diagram technique is developed for perturbation study of…

Strongly Correlated Electrons · Physics 2016-08-31 Yehuda Goldin , Yshai Avishai

Strong electronic correlations generally require non-perturbative treatment. Local correlations are captured by dynamical mean-field theory while nonlocal correlations can be treated with diagrammatic extensions such as the Dual Fermion…

Strongly Correlated Electrons · Physics 2026-05-05 Akshat Mishra , Hugo U. R. Strand , Erik G. C. P. van Loon

We apply the recently proposed quasi-classical approach for a second quantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys. 137, 154107 (2012)] to correlated nonequilibrium quantum transport. The approach provides…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Bin Li , Tal J. Levy , David W. H. Swenson , Eran Rabani , William H. Miller

Recent experiments by Potok et al. have demonstrated a remarkable tunability between a single-channel Fermi liquid fixed point and a two-channel non-Fermi liquid fixed point. Motivated by this we study the nonequilibrium dynamics due to a…

Strongly Correlated Electrons · Physics 2013-05-29 Zurab Ratiani , Aditi Mitra

Non-unitary quantum mechanics has been used in the past to study irreversibility, dissipation and decay in a variety of physical systems. In this letter, we propose a general scheme to deal with systems governed by non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2011-05-12 Paata Kakashvili , C. J. Bolech

We develop a Schwinger--Keldysh effective theory for quantum-interference corrections in a two-dimensional electron system in the hydrodynamic regime. Starting from the clean hydrodynamic fixed point, we introduce a minimal random-friction…

Strongly Correlated Electrons · Physics 2026-05-27 Alberto Cortijo

Generally, natural scientific problems are so complicated that one has to establish some effective perturbation or nonperturbation theories with respect to some associated ideal models. In this Letter, a new theory that combines…

Computational Physics · Physics 2015-05-13 Yuan Gao , S. Y. Lou

A generalized Anderson single-impurity model with off-site Coulomb interactions is derived from the extended three-band Hubbard model, originally proposed to describe the physics of the copper-oxides. Using the abelian bosonization…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , Zhao-Bin Su , Lu Yu

Out-of-equilibrium fermionic quantum impurity models (QIM), describing a small interacting system coupled to a continuous fermionic bath, play an important role in condensed matter physics. Solving such models is a computationally demanding…

Strongly Correlated Electrons · Physics 2025-11-10 Julian Thoenniss , Ilya Vilkoviskiy , Dmitry A. Abanin

The question of Fermi liquid vs. non-Fermi liquid behavior induced by strong correlations is one of the prominent problems in metallic local moment systems. As standard models for such systems, the SU(N)xSU(M) Anderson impurity models…

Strongly Correlated Electrons · Physics 2016-11-30 Johann Kroha , Peter W"olfle

We develop a general approach to nonequilibrium nanostructures formed by one-dimensional channels coupled by tunnel junctions and/or by impurity scattering. The formalism is based on nonequilibrium version of functional bosonization. A…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Stephane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We derive a path-integral Schwinger-Keldysh approach for quantum spin systems. This is achieved by means of a semionic representation of spins as fermions with imaginary chemical potential. The major simplifying feature in comparison with…

Strongly Correlated Electrons · Physics 2009-10-31 M. N. Kiselev , R. Oppermann

In this paper, we present a relaxation proximal point method with double inertial effects to approximate a solution of a non-convex equilibrium problem. We give global convergence results of the iterative sequence generated by our…

Optimization and Control · Mathematics 2025-02-18 Nam Van Tran

Quantum systems of interest are typically coupled to several quantum channels (more generally environments). In this paper, we develop an exact stochastic Schr\"{o}dinger equation for an open quantum system coupled to a hybrid environment…

Quantum Physics · Physics 2017-05-11 Xinyu Zhao , Wufu Shi , J. Q. You , Ting Yu

James' effective Hamiltonian method has been extensively adopted to investigate largely detuned interacting quantum systems. This method is just corresponding to the second-order perturbation theory, and cannot be exploited to treat the…

Quantum Physics · Physics 2017-04-05 Wenjun Shao , Chunfeng Wu , Xun-Li Feng

We solve the two-channel Anderson impurity model using the Bethe-Ansatz. We determine the ground state and derive the thermodynamics, obtaining the impurity entropy and specific heat over the full range of temperature. We show that the low…

Strongly Correlated Electrons · Physics 2007-05-23 C. J. Bolech , N. Andrei

We develop the impurity lattice Monte Carlo formalism, for the case of two distinguishable impurities in a bath of polarized fermions. The majority particles are treated as explicit degrees of freedom, while the impurities are described by…

Nuclear Theory · Physics 2022-09-21 Fabian Hildenbrand , Serdar Elhatisari , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

We study induced pairing between two identical fermions mediated by an attractively interacting quantum impurity in two-dimensional systems. Based on a Stochastic Variational Method (SVM), we investigate the influence of confinement and…

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