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Despite rapidly growing interest in harnessing machine learning in the study of quantum many-body systems, training neural networks to identify quantum phases is a nontrivial challenge. The key challenge is in efficiently extracting…

Strongly Correlated Electrons · Physics 2017-05-31 Yi Zhang , Eun-Ah Kim

Using machine learning (ML) to recognize different phases of matter and to infer the entire phase diagram has proven to be an effective tool given a large dataset. In our previous proposals, we have successfully explored phase transitions…

Statistical Mechanics · Physics 2023-07-12 Ming-Chiang Chung , Guang-Yu Huang , Ian P. McCulloch , Yuan-Hong Tsai

Quantum many-fermion systems give rise to diverse states of matter that often reveal themselves in distinctive transport properties. While some of these states can be captured by microscopic models accessible to numerical exact quantum…

Strongly Correlated Electrons · Physics 2019-05-08 Yi Zhang , Carsten Bauer , Peter Broecker , Simon Trebst , Eun-Ah Kim

Quantum data learning (QDL) provides a framework for extracting physical insights directly from quantum states, bypassing the need for any identification of the classical observable of the theory. A central challenge in many-body physics is…

Although classifying topological quantum phases have attracted great interests, the absence of local order parameter generically makes it challenging to detect a topological phase transition from experimental data. Recent advances in…

Quantum Gases · Physics 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

Quantum computing crucially relies on the ability to efficiently characterize the quantum states output by quantum hardware. Conventional methods which probe these states through direct measurements and classically computed correlations…

Quantum spin liquids, exotic phases of matter with topological order, have been a major focus of explorations in physical science for the past several decades. Such phases feature long-range quantum entanglement that can potentially be…

Recent advances in programmable quantum devices brought to the fore the intriguing possibility of using them to realise and investigate topological quantum spin liquid phases. This new and exciting direction brings about important research…

Quantum Physics · Physics 2023-11-15 Shiyu Zhou , Maria Zelenayova , Oliver Hart , Claudio Chamon , Claudio Castelnovo

The discovery of topological features of quantum states plays an important role in modern condensed matter physics and various artificial systems. Due to the absence of local order parameters, the detection of topological quantum phase…

Computational Physics · Physics 2020-11-04 Yanming Che , Clemens Gneiting , Tao Liu , Franco Nori

Non-Fermi liquid physics is a ubiquitous feature in strongly correlated metals, manifesting itself in anomalous transport properties, such as a $T$-linear resistivity in experiments. However, its theoretical understanding in terms of…

Strongly Correlated Electrons · Physics 2021-07-23 George , Driskell , Samuel Lederer , Carsten Bauer , Simon Trebst , Eun-Ah Kim

The application of state-of-the-art machine learning techniques to statistical physic problems has seen a surge of interest for their ability to discriminate phases of matter by extracting essential features in the many-body wavefunction or…

Strongly Correlated Electrons · Physics 2017-07-04 Peter Broecker , Fakher F. Assaad , Simon Trebst

The power of machine learning algorithms to automatically classify different phases of matter and detect quantum phase transitions without necessity to characterize phases by various quantities like local order parameters or topological…

Strongly Correlated Electrons · Physics 2021-03-15 Tanja Duric

Identifying quantum phases and phase transitions is key to understand complex phenomena in statistical physics. In this work, we propose an unconventional strategy to access quantum phases and phase transitions by visualization based on the…

Strongly Correlated Electrons · Physics 2021-04-13 Yuan Yang , Zheng-Zhi Sun , Shi-Ju Ran , Gang Su

Quantum machine learning (QML) seeks to exploit the intrinsic properties of quantum mechanical systems, including superposition, coherence, and quantum entanglement for classical data processing. However, due to the exponential growth of…

Quantum Physics · Physics 2025-10-09 Timothy Heightman , Edward Jiang , Ruth Mora-Soto , Maciej Lewenstein , Marcin Płodzień

We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling…

Strongly Correlated Electrons · Physics 2009-09-29 C. Castelnovo , C. Chamon

There has been growing excitement over the possibility of employing artificial neural networks (ANNs) to gain new theoretical insight into the physics of quantum many-body problems. ``Interpretability'' remains a concern: can we understand…

Disordered Systems and Neural Networks · Physics 2020-12-08 Yi Zhang , Paul Ginsparg , Eun-Ah Kim

Topological qauntum field theory(TQFT) is a very powerful theoretical tool to study topological phases and phase transitions. In $2+1$D, it is well known that the Chern-Simons theory captures all the universal topological data of…

Strongly Correlated Electrons · Physics 2019-06-26 Qing-Rui Wang , Meng Cheng , Chenjie Wang , Zheng-Cheng Gu

Quantum machine learning offers a promising advantage in extracting information about quantum states, e.g. phase diagram. However, access to training labels is a major bottleneck for any supervised approach, preventing getting insights…

Quantum Physics · Physics 2023-02-13 Saverio Monaco , Oriel Kiss , Antonio Mandarino , Sofia Vallecorsa , Michele Grossi

We propose a systematic methodology to identify the topological phase transition through a self-supervised machine learning model, which is trained to correlate system parameters to the non-local observables in time-of-flight experiments of…

Quantum Gases · Physics 2021-09-01 Chi-Ting Ho , Daw-Wei Wang

Pursuing fractionalized particles that do not bear properties of conventional measurable objects, exemplified by bare particles in the vacuum such as electrons and elementary excitations such as magnons, is a challenge in physics. Here we…

Strongly Correlated Electrons · Physics 2021-08-17 Yusuke Nomura , Masatoshi Imada
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