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We propose a hierarchical dynamics approach for evaluation of nonequilibrium dynamic response properties of quantum impurity systems. It is based on a hierarchical equations of motion formalism, in conjunction with a linear response theory…

Strongly Correlated Electrons · Physics 2013-07-15 Shikuan Wang , Xiao Zheng , Jinshuang Jin , YiJing Yan

We develop a method for studying the real time dynamics of Heisenberg operators in strongly-interacting nonequilibrium quantum impurity models. Our method is applicable to a wide range of interaction strengths and to bias voltages beyond…

Strongly Correlated Electrons · Physics 2015-05-07 Pei Wang , Guy Cohen , Shaojun Xu

We study the out-of-equilibrium dynamics of noninteracting fermions in one dimension and in continuum space, in the presence of a delta impurity potential at the origin whose strength $g$ is varied at time $t=0$. The system is prepared in…

Statistical Mechanics · Physics 2022-09-13 Gabriel Gouraud , Pierre Le Doussal , Gregory Schehr

In this work, we put forward the theoretical foundation toward thermodynamics of quantum impurity systems measurable in experiments. The theoretical developments involve the identifications on two types of thermodynamic entanglement…

Quantum Physics · Physics 2021-06-24 Hong Gong , Yao Wang , Hou-Dao Zhang , Rui-Xue Xu , Xiao Zheng , YiJing Yan

The coupling between localized magnetic moments and itinerant electrons presents a plethora of interesting physics. The low-energy physics of some quantum impurity systems can be described using conformal field theory (CFT). In this paper,…

High Energy Physics - Theory · Physics 2019-11-26 Ying-Hai Wu , Hong-Hao Tu

In this work we present and analyze two tensor network-based influence functional approaches for simulating the real-time dynamics of quantum impurity models such as the Anderson model. Via comparison with recent numerically exact…

Strongly Correlated Electrons · Physics 2023-03-15 Nathan Ng , Gunhee Park , Andrew J. Millis , Garnet Kin-Lic Chan , David R. Reichman

We present a generalization of the recently developed dual fermion approach introduced for correlated lattices to non-equilibrium problems. In its local limit, the approach has been used to devise an efficient impurity solver, the…

Strongly Correlated Electrons · Physics 2010-11-16 C. Jung , A. Lieder , S. Brener , H. Hafermann , B. Baxevanis , A. Chudnovskiy , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

We extend the general formalism discussed in the previous paper [A. B. Culver and N. Andrei, Phys. Rev. B 103, 195106 (2021)] to two models with charge fluctuations: the interacting resonant level model and the Anderson impurity model. In…

Strongly Correlated Electrons · Physics 2021-06-29 Adrian B. Culver , Natan Andrei

We consider time dynamics of entanglement entropy between a filled fermionic system and an empty reservoir. We consider scenarios (i) where the system is subjected to a dephasing mechanism and the reservoir is clean, thereby emulating…

Statistical Mechanics · Physics 2025-01-22 Katha Ganguly , Preethi Gopalakrishnan , Atharva Naik , Bijay Kumar Agarwalla , Manas Kulkarni

Generalized quantum impurity models -- which feature a few localized and strongly-correlated degrees of freedom coupled to itinerant conduction electrons -- describe diverse physical systems, from magnetic moments in metals to…

Strongly Correlated Electrons · Physics 2024-10-23 Jonas B. Rigo , Andrew K. Mitchell

We review a systematic many-body method capable of describing Fermi liquid and Non-Fermi liquid behavior of quantum impurity models at low temperatures on the same footing. The crossover to the high temperature local moment regime is…

Strongly Correlated Electrons · Physics 2007-05-23 J. Kroha , P. Wölfle

We discuss the transient effects in the Anderson impurity model that occur when two fermionic continua with finite bandwidths are instantaneously coupled to a central level. We present results for the analytically solvable noninteracting…

Mesoscale and Nanoscale Physics · Physics 2008-12-11 T. L. Schmidt , P. Werner , L. Muehlbacher , A. Komnik

An emergent and promising tensor-network-based impurity solver is to represent the path integral as a matrix product state, where the bath is analytically integrated out using Feynman-Vernon influence functional. Here we present an approach…

Strongly Correlated Electrons · Physics 2024-04-04 Ruofan Chen , Xiansong Xu , Chu Guo

We consider the quench dynamics of non-interacting fermions in one dimension in the presence of a finite-size impurity at the origin. This impurity is characterized by general momentum-dependent reflection and transmission coefficients…

Statistical Mechanics · Physics 2023-08-29 Gabriel Gouraud , Pierre Le Doussal , Gregory Schehr

We introduce a quantum Monte Carlo technique to calculate exactly at finite temperatures the Green function of a fermionic quantum impurity coupled to a bosonic field. While the algorithm is general, we focus on the single impurity Anderson…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liliana Arrachea , Marcelo J. Rozenberg

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of…

Quantum Physics · Physics 2015-05-30 J. Casanova , A. Mezzacapo , L. Lamata , E. Solano

We give a quasi-polynomial time classical algorithm for estimating the ground state energy and for computing low energy states of quantum impurity models. Such models describe a bath of free fermions coupled to a small interacting subsystem…

Quantum Physics · Physics 2018-10-23 Sergey Bravyi , David Gosset

We consider the problem of a charged impurity exerting a weak, slowly decaying force on its surroundings, treating the latter as an ideal compressible fluid. In the semiclassical approximation, the ion is described by the Newton equation…

Quantum Gases · Physics 2025-04-17 Krzysztof Myśliwy , Piotr Wysocki , Krzysztof Jachymski

We study a quantum impurity coupled to the edge states of a two-dimensional helical topological superconductor, i.e., to a pair of counterpropagating Majorana fermion edge channels with opposite spin polarizations. For an impurity described…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko , Pascal Simon

Correlated electron physics is intrinsically a multiscale problem, since high-energy electronic states screen the interactions between the correlated electrons close to the Fermi level, thereby reducing the magnitude of the interaction…

Strongly Correlated Electrons · Physics 2025-11-06 Anton Pauli , Akshat Mishra , Malte Rösner , Erik G. C. P. van Loon