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Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

机器学习 · 计算机科学 2021-06-11 Sifan Wang , Paris Perdikaris

We study the non-equilibrium dynamics of the dissipative quantum East model via numerical tensor networks. We use matrix product states to represent evolution under quantum-jump unravellings for sizes beyond those accessible to exact…

统计力学 · 物理学 2024-07-19 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

We present a tree-tensor-network-based method to study strongly correlated systems with nonlocal interactions in higher dimensions. Although the momentum-space and quantum-chemistry versions of the density matrix renormalization group…

强关联电子 · 物理学 2010-11-08 Valentin Murg , Örs Legeza , Reinhard M. Noack , Frank Verstraete

Measurement-based quantum computing relies on the rapid creation of large-scale entanglement in a register of stable qubits. Atomic arrays are well suited to store quantum information, and entanglement can be created using highly-excited…

Ab-initio simulations of multiple heavy quarks propagating in a Quark-Gluon Plasma are computationally difficult to perform due to the large dimension of the space of density matrices. This work develops machine learning algorithms to…

高能物理 - 唯象学 · 物理学 2024-10-22 Joshua Lin , Di Luo , Xiaojun Yao , Phiala E. Shanahan

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

机器学习 · 计算机科学 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

Time-resolved photoemission spectroscopy provides a unique and direct way to explore the real-time nonequilibrium dynamics of electrons and holes. The formal theory of the spectral function evolution requires inclusion of electronic…

材料科学 · 物理学 2025-05-09 Thomas Blommel , Enrico Perfetto , Gianluca Stefanucci , Vojtěch Vlček

The simulation of out-of-equilibrium dissipative quantum many body systems is a problem of fundamental interest to a number of fields in physics, ranging from condensed matter to cosmology. For unitary systems, tensor network methods have…

量子物理 · 物理学 2019-10-30 Edward Gillman , Federico Carollo , Igor Lesanovsky

Tensor networks are a powerful tool to simulate a variety of different physical models, including those that suffer from the sign problem in Monte Carlo simulations. The Hubbard model on the honeycomb lattice with non-zero chemical…

计算物理 · 物理学 2021-10-13 Manuel Schneider , Johann Ostmeyer , Karl Jansen , Thomas Luu , Carsten Urbach

We study the non-equilibrium dynamics of dipoles confined in multiple stacked two-dimensional layers realising a long-range interacting quantum spin 1/2 XXZ model. We demonstrate that strong in-plane XXX interactions can protect a manifold…

量子物理 · 物理学 2023-08-07 Thomas Bilitewski , Ana Maria Rey

We propose a tensor-network algorithm for discrete-time stochastic dynamics of a homogeneous system in the thermodynamic limit. We map a $d$-dimensional nonequilibrium Markov process to a $(d+1)$-dimensional infinite tensor network by using…

统计力学 · 物理学 2016-06-29 Yoshihito Hotta

We propose a novel efficient architecture for learning long-term evolution in complex multi-scale physical systems which is based on the idea of separation of scales. Structures of various scales that dynamically emerge in the system…

人工智能 · 计算机科学 2025-05-27 Alexander Khrabry , Edward Startsev , Andrew Powis , Igor Kaganovich

Quantum machine learning offers the ability to capture complex correlations in high-dimensional feature spaces, crucial for the challenge of detecting beyond the Standard Model physics in collider events, along with the potential for…

机器学习 · 计算机科学 2026-03-30 Sagar Addepalli , Prajita Bhattarai , Abhilasha Dave , Julia Gonski

We introduce a general numerical method to compute dynamics and multi-time correlations of chains of quantum systems, where each system may couple strongly to a structured environment. The method combines the process tensor formalism for…

量子物理 · 物理学 2023-08-16 Gerald E. Fux , Dainius Kilda , Brendon W. Lovett , Jonathan Keeling

In a dynamic social or biological environment, the interactions between the actors can undergo large and systematic changes. In this paper we propose a model-based approach to analyze what we will refer to as the dynamic tomography of such…

机器学习 · 统计学 2010-11-09 Eric P. Xing , Wenjie Fu , Le Song

We introduce TensorFlow Agents, an efficient infrastructure paradigm for building parallel reinforcement learning algorithms in TensorFlow. We simulate multiple environments in parallel, and group them to perform the neural network…

机器学习 · 计算机科学 2018-11-02 Danijar Hafner , James Davidson , Vincent Vanhoucke

We address the problem of simulating pair-interaction Hamiltonians in n node quantum networks where the subsystems have arbitrary, possibly different, dimensions. We show that any pair-interaction can be used to simulate any other by…

量子物理 · 物理学 2023-11-27 Pawel Wocjan , Martin Roetteler , Dominik Janzing , Thomas Beth

We investigate the time evolution of the second-order R\'enyi entropy (RE) for bosons in a one-dimensional optical lattice following a sudden quench of the hopping amplitude $J$. Specifically, we examine systems that are quenched into the…

量子气体 · 物理学 2023-11-15 Shion Yamashika , Daichi Kagamihara , Ryosuke Yoshii , Shunji Tsuchiya

Quantum network communication is challenging, as the No-cloning theorem in quantum regime makes many classical techniques inapplicable. For long-distance communication, the only viable communication approach is teleportation of quantum…

量子物理 · 物理学 2024-04-08 Mohammad Ghaderibaneh , Caitao Zhan , Himanshu Gupta , C. R. Ramakrishnan

We obtain a time-evolution operator for a forced optomechanical quantum system using Lie algebraic methods when the normalized coupling between the electromagnetic field and a mechanical oscillator, $G/\omega_m$, is not negligible compared…