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We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

Quantum Physics · Physics 2011-12-15 E. E. Edwards , S. Korenblit , K. Kim , R. Islam , M. -S. Chang , J. K. Freericks , G. -D. Lin , L. -M. Duan , C. Monroe

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…

We apply support vector machine (SVM) to study the phase transition between many-body localized and thermal phases in a disordered quantum Ising chain in a transverse external field. The many-body eigenstate energy $E$ is bounded by a…

Disordered Systems and Neural Networks · Physics 2019-02-26 Wei Zhang , Lei Wang , Ziqiang Wang

Neural networks have emerged as a powerful way to approach many practical problems in quantum physics. In this work, we illustrate the power of deep learning to predict the dynamics of a quantum many-body system, where the training is…

Recent research has demonstrated the usefulness of neural networks as variational ansatz functions for quantum many-body states. However, high-dimensional sampling spaces and transient autocorrelations confront these approaches with a…

Quantum Physics · Physics 2021-11-29 Robert Klassert , Andreas Baumbach , Mihai A. Petrovici , Martin Gärttner

We explore a previously unknown connection between two important problems in physics, i.e., quantum macroscopicity and the quantum phase transition. We devise a general and computable measure of quantum macroscopicity that can be applied to…

Quantum Physics · Physics 2016-11-30 Chae-Yeun Park , Minsu Kang , Chang-Woo Lee , Jeongho Bang , Seung-Woo Lee , Hyunseok Jeong

Machine learning has emerged as a promising approach to study the properties of many-body systems. Recently proposed as a tool to classify phases of matter, the approach relies on classical simulation methods$-$such as Monte Carlo$-$which…

Quantum Physics · Physics 2020-07-17 Alexey Uvarov , Andrey Kardashin , Jacob Biamonte

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

Statistical Mechanics · Physics 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

Recent breakthroughs in quantum technology pave the way for extensive utilization of higher-dimensional quantum systems, which outperform their qubit counterparts in terms of capabilities and versatility. We present a framework for…

Quantum Physics · Physics 2024-01-29 Shivansh Singh , Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Aditi Sen De

Owing to their great expressivity and versatility, neural networks have gained attention for simulating large two-dimensional quantum many-body systems. However, their expressivity comes with the cost of a challenging optimization due to…

Disordered Systems and Neural Networks · Physics 2025-03-26 Hannah Lange , Guillaume Bornet , Gabriel Emperauger , Cheng Chen , Thierry Lahaye , Stefan Kienle , Antoine Browaeys , Annabelle Bohrdt

The use of Neural Networks in quantum many-body theory has seen a formidable rise in recent years. Among the many possible applications, one surely is to make use of their pattern recognition power when dealing with the study of equilibrium…

Strongly Correlated Electrons · Physics 2024-12-04 Filippo Caleca , Simone Tibaldi , Elisa Ercolessi

Quantum phase transitions are a ubiquitous many-body phenomenon that occurs in a wide range of physical systems, including superconductors, quantum spin liquids, and topological materials. However, investigations of quantum critical systems…

Strongly Correlated Electrons · Physics 2021-09-06 Timo Kist , Jose L. Lado , Christian Flindt

Determining phase diagrams and phase transitions semi-automatically using machine learning has received a lot of attention recently, with results in good agreement with more conventional approaches in most cases. When it comes to more…

Disordered Systems and Neural Networks · Physics 2019-12-04 Hugo Théveniaut , Fabien Alet

Over the past years, machine learning has emerged as a powerful computational tool to tackle complex problems over a broad range of scientific disciplines. In particular, artificial neural networks have been successfully deployed to…

Quantum Physics · Physics 2021-01-28 Juan Carrasquilla , Giacomo Torlai

We use network analysis to describe and characterize an archetypal quantum system - an Ising spin chain in a transverse magnetic field. We analyze weighted networks for this quantum system, with link weights given by various measures of…

Statistical Mechanics · Physics 2018-05-23 Bhuvanesh Sundar , Marc Andrew Valdez , Lincoln D. Carr , Kaden R. A. Hazzard

Observables of out-of-equilibrium quantum many-body systems display complex temporal behavior that encodes the underlying physical mechanisms but typically resists straightforward interpretations. We introduce recurrence analysis - a…

Quantum Physics · Physics 2026-04-21 Tomasz Szołdra , Matheus S. Palmero , Peter Schmelcher

Machine learning techniques such as artificial neural networks are currently revolutionizing many technological areas and have also proven successful in quantum physics applications. Here we employ an artificial neural network and deep…

We demonstrate, by means of a convolutional neural network, that the features learned in the two-dimensional Ising model are sufficiently universal to predict the structure of symmetry-breaking phase transitions in considered systems…

Statistical Mechanics · Physics 2020-11-25 Dimitrios Bachtis , Gert Aarts , Biagio Lucini

Quantum phase transitions in many-body systems are fundamentally characterized by complex correlation structures, which pose computational challenges for conventional methods in large systems. To address this, we propose a hybrid…

Quantum Physics · Physics 2026-02-03 Jin-Long Chen , Xin Li , Zhang-Qi Yin

Achieving precise preparation of quantum many-body states is crucial for the practical implementation of quantum computation and quantum simulation. However, the inherent challenges posed by unavoidable excitations at critical points during…

Quantum Physics · Physics 2024-05-01 Meng-Yun Mao , Zheng Cheng , Liangsheng Li , Ning Wu , Wen-Long You