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Classical simulation of open quantum system dynamics remains challenging due to the exponential growth of the Hilbert space, the need to accurately capture dissipation and decoherence, and the added complexity of memory effects in the…

量子物理 · 物理学 2025-10-31 Sujay Mondal , Siddhartha Dutta , Abhijit Bandyopadhyay

We propose tensor time series imputation when the missing pattern in the tensor data can be general, as long as any two data positions along a tensor fibre are both observed for enough time points. The method is based on a tensor time…

统计理论 · 数学 2024-09-17 Zetai Cen , Clifford Lam

We study the quench dynamics of an Anderson impurity model using the configuration interaction (CI) method. In particular, we focus on the relaxation behavior of the impurity occupation. The system is found to behave very differently in the…

强关联电子 · 物理学 2015-10-26 Chungwei Lin , Alexander A. Demkov

Cook's [J. Roy. Statist. Soc. Ser. B 48 (1986) 133--169] local influence approach based on normal curvature is an important diagnostic tool for assessing local influence of minor perturbations to a statistical model. However, no rigorous…

统计理论 · 数学 2008-12-18 Hongtu Zhu , Joseph G. Ibrahim , Sikyum Lee , Heping Zhang

In this paper, we describe a tensor network simulation of a neutral atom quantum system under the presence of noise, while introducing a new purity-preserving truncation technique that compromises between the simplicity of the matrix…

量子物理 · 物理学 2025-06-03 James Allen , Matthew Otten , Stephen Gray , Bryan K. Clark

Functional and effective networks inferred from time series are at the core of network neuroscience. Interpreting their properties requires inferred network models to reflect key underlying structural features; however, even a few spurious…

神经元与认知 · 定量生物学 2022-09-22 Leonardo Novelli , Joseph T. Lizier

We investigate the dynamical and steady-state spin response of the nonequilibrium Anderson model to magnetic fields, bias voltage, and temperature using a numerically exact method combining a bold-line quantum Monte Carlo technique with the…

强关联电子 · 物理学 2013-05-14 Guy Cohen , Emanuel Gull , David R. Reichman , Andrew J. Millis , Eran Rabani

The time-evolving matrix product operator (TEMPO) method has become a very competitive numerical method for studying the real-time dynamics of quantum impurity problems. For small impurities, the most challenging calculation in TEMPO is to…

强关联电子 · 物理学 2024-10-10 Chu Guo , Ruofan Chen

A review of electronic dynamics of single-impurity and many-impurity Anderson models is contained in this report. Those models are used widely for many of the applications in diverse fields of interest, such as surface physics, theory of…

强关联电子 · 物理学 2015-03-04 A. L. Kuzemsky

Being able to describe accurately the dynamics and steady-states of driven and/or dissipative but quantum correlated lattice models is of fundamental importance in many areas of science: from quantum information to biology. An efficient…

量子物理 · 物理学 2021-05-19 Conor Mc Keever , Marzena H. Szymańska

We demonstrate that the Kondo effect can be induced through non-linear dissipative channels, without requiring any coherent interaction on the impurity site. Specifically, we consider a reservoir of noninteracting fermions that can hop on a…

Linear methods are ubiquitous for control and estimation problems. In this work, we present a number of tensor operator norms as a means to approximately bound the error associated with linear methods and determine the situations in which…

动力系统 · 数学 2024-08-29 Jackson Kulik , Cedric Orton-Urbina , Maximilian Ruth , Dmitry Savransky

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

数学物理 · 物理学 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

无序系统与神经网络 · 物理学 2026-01-06 Jake S. Bobowski

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…

强关联电子 · 物理学 2024-10-23 Jonas B. Rigo , Andrew K. Mitchell

We develop a diagrammatic Monte Carlo method for the real-time dynamics of dissipative quantum impurity models. These are small open quantum systems with interaction and local Markovian dissipation, coupled to a large quantum bath. Our…

强关联电子 · 物理学 2024-03-26 Matthieu Vanhoecke , Marco Schirò

Recent studies have highlighted the combination of tensor network methods and the stabilizer formalism as a very effective framework for simulating quantum many-body systems, encompassing areas from ground state to time evolution…

量子物理 · 物理学 2024-10-22 Xiangjian Qian , Jiale Huang , Mingpu Qin

Simulating quantum systems constructively furthers our understanding of qualitative and quantitative features which may be analytically intractable. In this letter, we directly simulate and explore the entanglement structure present in a…

量子物理 · 物理学 2017-12-27 Eugene Dumitrescu

We introduce real-time density matrix embedding theory (DMET), a dynamical quantum embedding theory for computing non-equilibrium electron dynamics in strongly correlated systems. As in the previously developed static DMET, real-time DMET…

化学物理 · 物理学 2017-11-03 Joshua S. Kretchmer , Garnet Kin-Lic Chan

We construct the boundary conformal field theory that describes the low-temperature behavior of the two-channel Anderson impurity model. The presence of an exactly marginal operator is shown to generate a line of stable fixed points…

强关联电子 · 物理学 2007-05-23 H. Johannesson , N. Andrei , C. J. Bolech