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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…

量子物理 · 物理学 2024-06-25 Amartya Bose

Time-resolved spectroscopy provides the main tool for analyzing the dynamics of excitonic energy transfer in light-harvesting complexes. To infer time-scales and effective coupling parameters from experimental data requires to develop…

化学物理 · 物理学 2018-11-28 Tobias Kramer , Mirta Rodriguez , Yaroslav Zelinskyy

This study presents a novel state estimation approach integrating Deep Neural Networks (DNNs) into Moving Horizon Estimation (MHE). This is a shift from using traditional physics-based models within MHE towards data-driven techniques.…

系统与控制 · 电气工程与系统科学 2025-07-29 Alexander Winkler , Pranav Shah , Katrin Baumgärtner , Vasu Sharma , David Gordon , Jakob Andert

The hierarchical quantum master equation (HQME) approach is an accurate method to describe quantum transport in interacting nanosystems. It generalizes perturbative master equation approaches by including higher-order contributions as well…

介观与纳米尺度物理 · 物理学 2018-08-29 Andre Erpenbeck , Christian Hertlein , Christian Schinabeck , Michael Thoss

We describe an iterative formalism to compute influence functionals that describe the general quantum dynamics of a subsystem beyond the assumption of linear coupling to a quadratic bath. We use a space-time tensor network representation of…

量子物理 · 物理学 2021-08-24 Erika Ye , Garnet Kin-Lic Chan

Numerical annealing and renormalization group have conceived various successful approaches to study the thermodynamics of strongly-correlated systems where perturbation or expansion theories fail to work. As the process of lowering the…

量子物理 · 物理学 2022-05-02 Ding-Zu Wang , Guo-Feng Zhang , Maciej Lewenstein , Shi-Ju Ran

Quantum heat transfer through a generic superconducting set-up consisting of a tunable transmon qubit placed between resonators that are termined by thermal reservoirs is explored. Two types of architectures are considered, a sequential and…

量子物理 · 物理学 2021-03-24 Meng Xu , J. T. Stockburger , J. Ankerhold

We extend the twin-space formulation of the hierarchical equations of motion approach in combination with the matrix product state representation (introduced in J. Chem. Phys. 150, 234102, [2019]) to nonequilibrium scenarios where the open…

介观与纳米尺度物理 · 物理学 2022-06-01 Yaling Ke , Raffaele Borrelli , Michael Thoss

We propose a trajectory-based quasiclassical method for approximating dynamics in condensed phase systems. Building upon the previously developed Optimized Mean Trajectory (OMT) approximation that has been used to compute linear and…

化学物理 · 物理学 2024-08-23 Kritanjan Polley

Learning systems must balance generalization across experiences with discrimination of task-relevant details. Effective learning therefore requires representations that support both. Online latent-cause models support incremental inference…

机器学习 · 计算机科学 2026-03-20 Ines Aitsahalia , Kiyohito Iigaya

Quantum computing offers promising new avenues for tackling the long-standing challenge of simulating the quantum dynamics of complex chemical systems, particularly open quantum systems coupled to external baths. However, simulating such…

量子物理 · 物理学 2025-02-20 Xiaohan Dan , Eitan Geva , Victor S. Batista

We present Higher-Order Tensor RNN (HOT-RNN), a novel family of neural sequence architectures for multivariate forecasting in environments with nonlinear dynamics. Long-term forecasting in such systems is highly challenging, since there…

机器学习 · 计算机科学 2019-08-27 Rose Yu , Stephan Zheng , Anima Anandkumar , Yisong Yue

We show that the general and numerically exact Hierarchy of Pure States method (HOPS) is very well applicable to calculate the reduced dynamics of an open quantum system. In particular we focus on environments with a sub-Ohmic spectral…

量子物理 · 物理学 2017-10-24 Richard Hartmann , Walter T. Strunz

Dynamics of open quantum systems with structured reservoirs can often be simulated efficiently with tensor network influence functionals. The standard variants of the time-evolving matrix product operator (TEMPO) method are applicable when…

量子物理 · 物理学 2026-03-25 Valentin Link

Power system simulations that extend over a time period of minutes, hours, or even longer are called extended-term simulations. As power systems evolve into complex systems with increasing interdependencies and richer dynamic behaviors…

计算工程、金融与科学 · 计算机科学 2021-04-08 Rui Yao , Feng Qiu

Stochastic multi-scale modeling and simulation for nonlinear thermo-mechanical problems of composite materials with complicated random microstructures remains a challenging issue. In this paper, we develop a novel statistical higher-order…

数值分析 · 数学 2023-08-23 Hao Dong , Junzhi Cui

We present a general method to undertake a thorough analysis of the thermodynamics of the quantum jump trajectories followed by an arbitrary quantum harmonic network undergoing linear and bilinear dynamics. The approach is based on the…

量子物理 · 物理学 2016-01-12 Simon Pigeon , Lorenzo Fusco , André Xuereb , Gabriele De Chiara , Mauro Paternostro

Currently, most district heating networks are running in a heat-setting mode, limiting the adjustment of the electrical power of combined heat and power (CHP) units. By considering the electrical power system (EPS) and district heating…

系统与控制 · 计算机科学 2017-12-21 Yuwei Chen , Qinglai Guo , Hongbin Sun , Zhengshuo Li , Zhaoguang Pan , Wenchuan Wu

Open quantum systems provide a conceptually simple setting for the exploration of collective behavior stemming from the competition between quantum effects, many-body interactions, and dissipative processes. They may display dynamics…

统计力学 · 物理学 2023-04-14 Dominik Sulz , Christian Lubich , Gianluca Ceruti , Igor Lesanovsky , Federico Carollo

We propose a generalized Lanczos method to generate the many-body basis states of quantum lattice models using tensor-network states (TNS). The ground-state wave function is represented as a linear superposition composed from a set of TNS…

强关联电子 · 物理学 2022-10-19 Rui-Zhen Huang , Hai-Jun Liao , Zhi-Yuan Liu , Hai-Dong Xie , Zhi-Yuan Xie , Hui-Hai Zhao , Jing Chen , Tao Xiang