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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

In this work, we use neural quantum states (NQS) to describe the high-dimensional wave functions of electron-phonon coupled systems. We demonstrate that NQS can accurately and systematically learn the underlying physics of such problems…

Strongly Correlated Electrons · Physics 2025-01-30 Ankit Mahajan , Paul J. Robinson , Joonho Lee , David R. Reichman

We study infinite limits of neural network quantum states ($\infty$-NNQS), which exhibit representation power through ensemble statistics, and also tractable gradient descent dynamics. Ensemble averages of Renyi entropies are expressed in…

Quantum Physics · Physics 2023-09-29 Di Luo , James Halverson

Photonic states with large and fixed photon numbers, such as Fock states, enable quantum-enhanced metrology but remain an experimentally elusive resource. A potentially simple, deterministic and scalable way to generate these states…

Quantum Physics · Physics 2019-04-17 V. Paulisch , M. Perarnau-Llobet , A. González-Tudela , J. I. Cirac

In this paper, we investigate non-Markovian quantum dynamics from the perspective of quantum noises in a network of atoms mediated by a waveguide. In such networks, quantum coherent feedback control becomes achievable when coherent fields…

Quantum Physics · Physics 2026-04-14 Haijin Ding , Guofeng Zhang

We find dynamical invariants for open quantum systems described by the non-Markovian quantum state diffusion (QSD) equation. In stark contrast to closed systems where the dynamical invariant can be identical to the system density operator,…

Quantum Physics · Physics 2016-04-29 Da-Wei Luo , P. V. Pyshkin , Chi-Hang Lam , Ting Yu , Hai-Qing Lin , J. Q. You , Lian-Ao Wu

Neural quantum states (NQS) have emerged as a powerful tool for approximating quantum wavefunctions using deep learning. While these models achieve remarkable accuracy, understanding how they encode physical information remains an open…

Quantum Physics · Physics 2025-04-21 Vinicius Hernandes , Thomas Spriggs , Saqar Khaleefah , Eliska Greplova

We present a collection of methods to simulate entangled dynamics of open quantum systems governed by the Lindblad equation with tensor network methods. Tensor network methods using matrix product states have been proven very useful to…

Quantum Gases · Physics 2018-11-09 Daniel Jaschke , Simone Montangero , Lincoln D. Carr

Neural quantum states (NQS) are a novel class of variational many-body wave functions that are very flexible in approximating diverse quantum states. Optimization of an NQS ansatz requires sampling from the corresponding probability…

Strongly Correlated Electrons · Physics 2021-09-15 Andrey A. Bagrov , Askar A. Iliasov , Tom Westerhout

Modeling open quantum dynamics without full knowledge of the system Hamiltonian or noise model is a key challenge in quantum control and quantum state estimation. We introduce an Augmented Quantum Neural Ordinary Differential Equation…

Quantum Physics · Physics 2025-09-10 Shahid Qamar , Rana Imran Mushtaq , Bo Li , Ho-Kin Tang

Recent progress in the design and optimization of neural-network quantum states (NQSs) has made them an effective method to investigate ground-state properties of quantum many-body systems. In contrast to the standard approach of training a…

Disordered Systems and Neural Networks · Physics 2024-12-18 Riccardo Rende , Sebastian Goldt , Federico Becca , Luciano Loris Viteritti

Numerically simulating spinful, fermionic systems is of great interest from the perspective of condensed matter physics. However, the exponential growth of the Hilbert space dimension with system size renders an exact parameterization of…

Strongly Correlated Electrons · Physics 2025-09-10 Hannah Lange , Fabian Döschl , Juan Carrasquilla , Annabelle Bohrdt

The Schwinger Model from Quantum Electrodynamics (QED) has long served as a valuable simplified model for exploring key physical phenomena in Quantum Chromodynamics (QCD)-a field rich with fundamental insights but is substantially more…

Quantum Physics · Physics 2025-09-25 Ao-Ning Wang , Min-Quan He , Z. D. Wang

In this paper, we introduce a numerical framework designed to solve problems within the emerging field of Waveguide Quantum Electrodynamics (WQED). The framework is based on collision quantum optics, where a localized quantum system…

Quantum Physics · Physics 2025-04-23 Matias Bundgaard-Nielsen , Dirk Englund , Mikkel Heuck , Stefan Krastanov

We explore the potential for hybrid development of quantum hardware where currently available quantum computers simulate open Cavity Quantum Electrodynamical (CQED) systems for applications in optical quantum communication, simulation and…

We introduce NetKet, a comprehensive open source framework for the study of many-body quantum systems using machine learning techniques. The framework is built around a general and flexible implementation of neural-network quantum states,…

Current quantum simulation experiments are starting to explore non-equilibrium many-body dynamics in previously inaccessible regimes in terms of system sizes and time scales. Therefore, the question emerges which observables are best suited…

Quantum Gases · Physics 2022-05-24 A. Bohrdt , S. Kim , A. Lukin , M. Rispoli , R. Schittko , M. Knap , M. Greiner , J. Léonard

Waveguide quantum electrodynamics platforms have emerged as promising candidates for exploring and implementing non-Markovian quantum phenomena. In this work, we investigate the formation and dynamics of superpositions of bound states in a…

Higher-dimensional quantum systems (qudits) offer advantages in information encoding, error resilience, and compact gate implementations, and naturally arise in platforms such as superconducting and solid-state systems. However, realistic…

Quantum Physics · Physics 2025-06-17 Yule Mayevsky , Akram Youssry , Ritik Sareen , Gerardo A. Paz-Silva , Alberto Peruzzo

Coupling an isolated emitter to a single mode of the electromagnetic field is now routinely achieved and well understood. Current efforts aim to explore the coherent dynamics of emitters coupled to several electromagnetic modes (EM).…