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We formulate the theory of an extremely correlated electron liquid, generalizing the standard Fermi liquid. This quantum liquid has specific signatures in various physical properties, such as the Fermi surface volume and the narrowing of…

Strongly Correlated Electrons · Physics 2010-01-22 B Sriram Shastry

We review recent studies dealing with the generation of machine learning models of molecular and solid properties. The models are trained and validated using standard quantum chemistry results obtained for organic molecules and materials…

Chemical Physics · Physics 2016-05-13 Raghunathan Ramakrishnan , O. Anatole von Lilienfeld

Cluster perturbation theory is applied to the two-dimensional Hubbard $t-t'-t''-U$ model to obtain doping and temperature dependent electronic spectral function with $4 \times 4$ and 12-site clusters. It is shown that evolution of the…

Strongly Correlated Electrons · Physics 2020-03-27 Valerii Kuz'min , Maxim Visotin , Sergey Nikolaev , Sergey Ovchinnikov

We describe an experimental protocol for introducing spin-dependent lattice structure in a cold atomic fermi gas using lasers. It can be used to realize Hubbard models whose hopping parameters depend on spin and whose interaction strength…

Superconductivity · Physics 2016-08-31 W. Vincent Liu , Frank Wilczek , Peter Zoller

Our understanding of supercooled liquids and glasses has lagged significantly behind that of simple liquids and crystalline solids. This is in part due to the many possibly relevant degrees of freedom that are present due to the disorder…

Machine Learning · Statistics 2018-08-01 Samuel S. Schoenholz

There is growing evidence that the hole-doped single-band Hubbard and $t$-$J$ models do not have a superconducting ground state reflective of the high-temperature cuprate superconductors but instead have striped spin- and charge-ordered…

Strongly Correlated Electrons · Physics 2023-05-26 Peizhi Mai , Nathan S. Nichols , Seher Karakuzu , Feng Bao , Adrian Del Maestro , Thomas A. Maier , Steven Johnston

Numerical studies of the two-dimensional Hubbard model have shown that it exhibits the basic phenomena seen in the cuprate materials. At half-filling one finds an antiferromagnetic Mott-Hubbard groundstate. When it is doped, a pseudogap…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. Scalapino

We introduce an approach for performing quantum state reconstruction on systems of $n$ qubits using a machine-learning-based reconstruction system trained exclusively on $m$ qubits, where $m\geq n$. This approach removes the necessity of…

Nanoscale engineered spin systems, ranging from spins on surfaces to nanographenes, provide flexible platforms to realize entangled quantum magnets from a bottom up approach. However, assessing the quantum many-body Hamiltonian realized in…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Netta Karjalainen , Greta Lupi , Rouven Koch , Adolfo O. Fumega , Jose L. Lado

With the great promise of deep learning, discoveries of new particles at the Large Hadron Collider (LHC) may be imminent. Following the discovery of a new Beyond the Standard model particle in an all-hadronic channel, deep learning can also…

High Energy Physics - Phenomenology · Physics 2025-04-30 Jakub Filipek , Shih-Chieh Hsu , John Kruper , Kirtimaan Mohan , Benjamin Nachman

Background and objective: Employing deep learning models in critical domains such as medical imaging poses challenges associated with the limited availability of training data. We present a strategy for improving the performance and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Eva Pachetti , Sotirios A. Tsaftaris , Sara Colantonio

Exploration of structure-property relationships as a function of dopant concentration is commonly based on mean field theories for solid solutions. However, such theories that work well for semiconductors tend to fail in materials with…

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

Estimating physical properties of quantum states from measurements is one of the most fundamental tasks in quantum science. In this work, we identify conditions on states under which it is possible to infer the expectation values of all…

Quantum Physics · Physics 2024-05-01 Cambyse Rouzé , Daniel Stilck França

We study the Kane-Mele-Hubbard model both at half-filling and away from half-filling using a slave-boson mean-field approach at zero temperature. We obtain a phase diagram at half-filling and discuss its connection to recent results from…

Strongly Correlated Electrons · Physics 2012-01-04 Jun Wen , Mehdi Kargarian , Abolhassan Vaezi , Gregory A. Fiete

A method for generating a mesoscopic superposition state of the collective spin variable of a gas of atoms is proposed. The state consists of a superposition of the atomic spins pointing in two slightly different directions. It is obtained…

Quantum Physics · Physics 2009-11-10 S. Massar , E. S. Polzik

The main objective of a statistical mechanical calculation is drawing the phase diagram of a many-body system. In this respect, discrete systems offer the clear advantage over continuum systems of an easier enumeration of microstates,…

Quantum Gases · Physics 2022-04-01 Davide DeGregorio , Santi Prestipino

Quantum embedding theories are promising approaches to investigate strongly-correlated electronic states of active regions of large-scale molecular or condensed systems. Notable examples are spin defects in semiconductors and insulators. We…

Materials Science · Physics 2021-12-14 He Ma , Nan Sheng , Marco Govoni , Giulia Galli

As ultracold atom experiments become highly controlled and scalable quantum simulators, they require sophisticated control over high-dimensional parameter spaces and generate increasingly complex measurement data that need to be analyzed…

Quantum Gases · Physics 2025-09-11 Henning Schlömer , Annabelle Bohrdt

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