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Real-time calculations in tensor networks are strongly limited in time by entanglement growth, restricting the achievable frequency resolution of Green's functions, spectral functions, self-energies, and other related quantities. By…

Strongly Correlated Electrons · Physics 2024-08-01 M. Grundner , P. Westhoff , F. B. Kugler , O. Parcollet , U. Schollwöck

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

One of the main open problems in the field of transport in strongly interacting nanostructures is the understanding of currents beyond the linear response regime. In this work, we consider the single-impurity Anderson model and use the…

Strongly Correlated Electrons · Physics 2009-07-02 F. Heidrich-Meisner , A. E. Feiguin , E. Dagotto

Edge-exchangeable probabilistic network models generate edges as an i.i.d.~sequence from a discrete measure, providing a simple means for statistical inference of latent network properties. The measure is often constructed using the…

Statistics Theory · Mathematics 2021-09-15 Xinglong Li , Trevor Campbell

We extend the recently developed real-time Diagrammatic Monte Carlo method, in its hybridization expansion formulation, to the full Kadanoff-Baym-Keldysh contour. This allows us to study real-time dynamics in correlated impurity models…

Strongly Correlated Electrons · Physics 2015-05-14 Marco Schiró

Tensor networks and quantum computation are two of the most powerful tools for the simulation of quantum many-body systems. Rather than viewing them as competing approaches, here we consider how these two methods can work in tandem. We…

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

Tensor network quantum states are powerful tools for strongly correlated systems, tailored to capture local correlations such as in ground states with entanglement area laws. When applying tensor network states to interacting fermionic…

Strongly Correlated Electrons · Physics 2025-01-10 Ang-Kun Wu , Benedikt Kloss , Wladislaw Krinitsin , Matthew T. Fishman , J. H. Pixley , E. M. Stoudenmire

The numerical simulation of two-dimensional quantum many-body systems away from equilibrium constitutes a major challenge for all known computational methods. We investigate the utility of Tree Tensor Network (TTN) states to solve the…

Quantum Physics · Physics 2025-05-13 Wladislaw Krinitsin , Niklas Tausendpfund , Markus Heyl , Matteo Rizzi , Markus Schmitt

We propose a novel experimental protocol to measure generalized temporal entropies in many-body quantum systems. Our approach involves using local operators as probes to characterize the out-of-equilibrium dynamics induced by a geometric…

We introduce a tree tensor network (TTN) impurity solver that enables highly efficient and accurate real-time simulations of quantum impurity models. By decomposing a noninteracting bath Hamiltonian into a Cayley tree, the method provides a…

Strongly Correlated Electrons · Physics 2026-05-26 Bo Zhan , Jia-Lin Chen , Zhen Fan , Tao Xiang

Given observations of a physical system, identifying the underlying non-linear governing equation is a fundamental task, necessary both for gaining understanding and generating deterministic future predictions. Of most practical relevance…

Numerical Analysis · Mathematics 2020-03-02 A. Goeßmann , M. Götte , I. Roth , R. Sweke , G. Kutyniok , J. Eisert

The interplay of Anderson localisation and decoherence results in intricate dynamics but is notoriously difficult to simulate on classical computers. We develop the framework for a quantum simulation of such an open quantum system making…

Quantum Physics · Physics 2020-08-19 Max Hunter-Gordon , Zsolt Szabó , Robert A. Nyman , Florian Mintert

The energy-dependent scattering of fermions from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)\propto |\epsilon|^r$ gives rise to quantum critical points (QCPs) in the pseudogap single-impurity Anderson model separating…

Strongly Correlated Electrons · Physics 2015-01-08 Christian Kleine , Julian Mußhoff , Frithjof B. Anders

This paper explores the application of tensor networks (TNs) to the simulation of material deformations within the framework of linear elasticity. Material simulations are essential computational tools extensively used in both academic…

In this article we formulate the superperturbation theory for the Anderson impurity model on the real axis. The resulting impurity solver allows to evaluate dynamical quantities without numerical analytical continuation by the maximum…

Strongly Correlated Electrons · Physics 2015-05-27 Christoph Jung , Aljoscha Wilhelm , Hartmut Hafermann , Sergey Brener , Alexander Lichtenstein

Tensor networks have historically proven to be of great utility in providing compressed representations of wave functions that can be used for calculation of eigenstates. Recently, it has been shown that a variety of these networks can be…

Quantum Physics · Physics 2024-06-25 Amartya Bose

We investigate static and dynamical ground-state properties of the two-impurity Anderson model at half filling in the limit of vanishing impurity separation using the dynamical density-matrix renormalization group method. In the…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Nishimoto , Thomas Pruschke , Reinhard M. Noack

We study the non-equilibrium dynamics of a spinful single-orbital quantum dot with an incorporated quantum mechanical spin-1/2 magnetic impurity. Due to the spin degeneracy, double occupancy is allowed, and Coulomb interaction together with…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Daniel Becker , Stephan Weiss , Michael Thorwart , Daniela Pfannkuche

We study the growth of entanglement entropy in density matrix renormalization group calculations of the real-time quench dynamics of the Anderson impurity model. We find that with appropriate choice of basis, the entropy growth is…

Strongly Correlated Electrons · Physics 2017-08-16 Zhuoran He , Andrew J. Millis