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We analyze the quantum entanglement between opposite spin projection electrons in the ground state of the Anderson impurity model. In this model, a single level impurity with intralevel repulsion U is tunnel coupled to a free electron gas.…

Strongly Correlated Electrons · Physics 2020-11-19 Nayra A. Álvarez Pari , D. J. García , Pablo S. Cornaglia

Interacting many-body quantum systems and their dynamics, while fundamental to modern science and technology, are formidable to simulate and understand. However, by discovering their symmetries, conservation laws, and integrability one can…

We investigate the ground-state properties of the Anderson single impurity model (finite Coulomb impurity repulsion) with the Coupled Cluster Method. We consider different CCM reference states and approximation schemes and make comparison…

Strongly Correlated Electrons · Physics 2009-06-26 Jin-Jun Liang , Clive Emary , Tobias Brandes

We present an approach based on a density matrix expansion to study thermodynamic properties of a quantum system strongly coupled to two or more baths. For slow external driving of the system, we identify the adiabatic and nonadiabatic…

Statistical Mechanics · Physics 2020-06-24 Wenjie Dou , Jakob Bätge , Amikam Levy , Michael Thoss

A novel approach to electronic correlations in magnetic crystals which takes into account a dynamical many-body effects is present. In order to to find a frequency dependence of the electron self energy, an effective quantum-impurity…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson

We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the…

Statistical Mechanics · Physics 2018-10-24 Wenjie Dou , Maicol A. Ochoa , Abraham Nitzan , Joseph E. Subotnik

We propose a fast impurity solver for the general quantum impurity model based on the perturbation theory around the atomic limit, which can be used in combination with the local density approximation (LDA) and the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-10 Xi Dai , Kristjan Haule , Gabriel Kotliar

We propose and analyze a new approach to the coherent control and manipulation of quantum degrees of freedom in disordered, interacting systems in the many-body localized phase. Our approach leverages a number of unique features of…

Quantum Physics · Physics 2015-08-31 Soonwon Choi , Norman Y. Yao , Sarang Gopalakrishnan , Mikhail D. Lukin

Anderson localization is a quantum phenomenon in which disorder localizes electronic wavefunctions. In this work, we propose a new approach to study Anderson localization based on the density matrix formalism. Drawing an analogy to the…

Disordered Systems and Neural Networks · Physics 2026-03-31 Ziyue Qi , Yi Zhang , Mingpu Qin , Hongming Weng , Kun Jiang

Analytical complexity of quantum wavefunction whose argument is extended into the complex plane provides an important information about the potentiality of manifesting complex quantum dynamics such as time-irreversibility, dissipation and…

Statistical Mechanics · Physics 2015-06-17 Hiroaki S. Yamada , Kensuke S. Ikeda

Quantum impurity models (QIMs) are ubiquitous throughout physics. As simplified toy models they provide crucial insights for understanding more complicated strongly correlated systems, while in their own right are accurate descriptions of…

Statistical Mechanics · Physics 2023-10-12 Colin Rylands , Pasquale Calabrese

Recent improvements in control of quantum systems make it seem feasible to finally build a quantum computer within a decade. While it has been shown that such a quantum computer can in principle solve certain small electronic structure…

Quantum Physics · Physics 2016-09-27 Bela Bauer , Dave Wecker , Andrew J. Millis , Matthew B. Hastings , M. Troyer

Correlations between different regions of a quantum many-body system can be quantified through measures based on entropies of (reduced) subsystem states. For closed systems, several analytical and numerical tools, e.g., hydrodynamic…

Statistical Mechanics · Physics 2022-12-26 Federico Carollo , Vincenzo Alba

We consider the Hubbard model with a magnetic Anderson impurity coupled to a lattice site. In the case of infinite dimensions, one-particle correlations of the impurity electron are described by the effective Hamiltonian of the two-impurity…

Strongly Correlated Electrons · Physics 2009-10-30 Benny Davidovich , V. Zevin

In quantum theory, the inescapable interaction between a system and its surroundings would lead to a loss of coherence and leakage of information into the environment. An effective approach to retain the quantum characteristics of the…

Quantum Physics · Physics 2025-08-29 Guohui Dong , Yao Yao

We present an extension of the standard polarizable quantum mechanic/molecular mechanics (QM/MM) approach for treating environmental effects on excited state properties of embedded systems. A quantum polarizable atom model is derived from a…

Chemical Physics · Physics 2018-08-08 Vladislav Sláma , Frank Müh , Thomas Renger , Tomáš Mančal

A general theoretical approach to study the quantum kinetics in a system coupled to a bath is proposed. Starting with the microscopic interaction, a Lindblad master equation is established, which goes beyond the common secular…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Gediminas Kiršanskas , Martin Franckié , Andreas Wacker

Predicting the properties of strongly correlated materials is a significant challenge in condensed matter theory. The widely used dynamical mean-field theory faces difficulty in solving quantum impurity models numerically. Hybrid…

We investigate quantum impurity problems, where a local magnetic moment is coupled to the spin density of a bosonic environment, leading to bosonic versions of the standard Kondo and Anderson impurity models. In a physical situation, these…

Strongly Correlated Electrons · Physics 2008-11-26 Serge Florens , Lars Fritz , Matthias Vojta

Quantum computing gives direct access to the study of real-time dynamics of quantum many-body systems. In principle, it is possible to directly calculate non-equal-time correlation functions, from which one can detect interesting phenomena,…