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In this work we apply deep neural networks to find the non-equilibrium steady state solution to correlated open quantum many-body systems. Motivated by the ongoing search to find more powerful representations of (mixed) quantum states, we…

Quantum Physics · Physics 2025-01-13 Johannes Mellak , Enrico Arrigoni , Wolfgang von der Linden

Recently, quantum-state representation using artificial neural networks has started to be recognized as a powerful tool. However, due to the black-box nature of machine learning, it is difficult to analyze what machine learns or why it is…

Quantum Physics · Physics 2022-05-24 Yusuke Nomura

We propose a neural-network variational quantum algorithm to simulate the time evolution of quantum many-body systems. Based on a modified restricted Boltzmann machine (RBM) wavefunction ansatz, the proposed algorithm can be efficiently…

Quantum Physics · Physics 2021-05-12 Chee-Kong Lee , Pranay Patil , Shengyu Zhang , Chang-Yu Hsieh

Along the way initiated by Carleo and Troyer [1], we construct the neural-network quantum state of transverse-field Ising model(TFIM) by an unsupervised machine learning method. Such a wave function is a map from the spin-configuration…

Disordered Systems and Neural Networks · Physics 2020-01-08 Han-qing Shi , Xiao-yue Sun , Ding-fang Zeng

Tensor networks provide a useful tool to describe low-dimensional complex many-body systems. Finding efficient algorithms to use these methods for finite-temperature simulations in two dimensions is a continuing challenge. Here, we use the…

Strongly Correlated Electrons · Physics 2023-05-09 Wilhelm Kadow , Frank Pollmann , Michael Knap

Finding the precise location of quantum critical points is of particular importance to characterise quantum many-body systems at zero temperature. However, quantum many-body systems are notoriously hard to study because the dimension of…

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

Artificial neural networks have been recently introduced as a general ansatz to compactly represent many- body wave functions. In conjunction with Variational Monte Carlo, this ansatz has been applied to find Hamil- tonian ground states and…

Strongly Correlated Electrons · Physics 2018-10-24 Kenny Choo , Giuseppe Carleo , Nicolas Regnault , Titus Neupert

Simulating the dynamics of many-body quantum systems is a significant challenge, especially in higher dimensions where entanglement grows rapidly. Neural quantum states (NQS) offer a promising tool for representing quantum wavefunctions,…

Quantum Physics · Physics 2024-12-17 Anka Van de Walle , Markus Schmitt , Annabelle Bohrdt

Neural networks are a promising tool for simulating quantum many body systems. Recently, it has been shown that neural network-based models describe quantum many body systems more accurately when they are constrained to have the correct…

Quantum Physics · Physics 2021-06-01 Christopher Roth , Allan H. MacDonald

Modeling quantum many-body systems is enormously challenging due to the exponential scaling of Hilbert dimension with system size. Finding efficient compressions of the wavefunction is key to building scalable models. Here, we introduce…

Computational Physics · Physics 2020-03-16 Christopher Roth

One of the main challenges of quantum many-body physics is that the dimensionality of the Hilbert space grows exponentially with the system size, which makes it extremely difficult to solve the Schr\"{o}dinger equations of the system. But…

Quantum Physics · Physics 2019-03-29 Zhih-Ahn Jia , Biao Yi , Rui Zhai , Yu-Chun Wu , Guang-Can Guo , Guo-Ping Guo

Imaginary time evolution is a powerful technique for computing the ground state of quantum Hamiltonians, where the convergence to ground state in asymptotic imaginary time is guaranteed. However, implementing this method on quantum…

Quantum Physics · Physics 2025-06-17 S. Alipour , T. Ojanen

We detect the quantum phase transition of a quantum many-body system by mapping the observed results of the quantum state onto a neural network. In the present study, we utilized the simplest case of a quantum many-body system, namely a…

Statistical Mechanics · Physics 2018-02-26 Shunta Arai , Masayuki Ohzeki , Kazuyuki Tanaka

We propose a method to obtain the thermal-equilibrium density matrix of a many-body quantum system using artificial neural networks. The variational function of the many-body density matrix is represented by a convolutional neural network…

Disordered Systems and Neural Networks · Physics 2020-03-18 Naoki Irikura , Hiroki Saito

We introduce an architecture for neural quantum states for many-body quantum-mechanical systems, based on normalizing flows. The use of normalizing flows enables efficient uncorrelated sampling of configurations from the probability…

Quantum Physics · Physics 2024-06-05 Scott Lawrence , Arlee Shelby , Yukari Yamauchi

The simulation of quantum many-body systems poses a significant challenge in physics due to the exponential scaling of Hilbert space with the number of particles. Traditional methods often struggle with large system sizes and frustrated…

Materials Science · Physics 2024-05-27 Avishek Singh , Nirmal Ganguli

While experimental advancements continue to expand the capabilities to control and probe non-equilibrium quantum matter at an unprecedented level, the numerical simulation of the dynamics of correlated quantum systems remains a pivotal…

Quantum Physics · Physics 2025-06-04 Markus Schmitt , Markus Heyl

Machine learning (ML) architectures such as convolutional neural networks (CNNs) have garnered considerable recent attention in the study of quantum many-body systems. However, advanced ML approaches such as transfer learning have seldom…

Statistical Mechanics · Physics 2020-03-10 Zewang Zhang , Shuo Yang , Yi-hang Wu , Chenxi Liu , Yimin Han , Ching Hua Lee , Zheng Sun , Guangjie Li , Xiao Zhang

Quantum many-body dynamics generically results in increasing entanglement that eventually leads to thermalization of local observables. This makes the exact description of the dynamics complex despite the apparent simplicity of…

Quantum Physics · Physics 2022-10-05 Thomas Klein Kvorning , Loïc Herviou , Jens H. Bardarson