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We design an efficient and balanced approach that captures major effects of collective electronic fluctuations in strongly correlated fermionic systems using a simple diagrammatic expansion on a basis of dynamical mean-field theory. For…

Strongly Correlated Electrons · Physics 2019-11-12 E. A. Stepanov , V. Harkov , A. I. Lichtenstein

Lattice Field theory allows to extract properties of particles in strongly coupled quantum field theories by studying Euclidean vacuum expectation values. When estimated from numerical Monte Carlo simulations these are typically affected by…

High Energy Physics - Lattice · Physics 2025-02-24 Guilherme Catumba , Alberto Ramos

In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent…

Probability · Mathematics 2025-07-24 Giuseppe D'Onofrio , Anderson Melchor Hernandez

Understanding strongly correlated quantum many-body states is one of the most difficult challenges in modern physics. For example, there remain fundamental open questions on the phase diagram of the Hubbard model, which describes strongly…

Heavy-Dense QCD (HDQCD) is a popular theory to investigate the sign problem in quantum field theory. Besides its physical applications, HDQCD is relatively easy to implement numerically: the fermionic degrees of freedom are integrated out,…

High Energy Physics - Lattice · Physics 2016-11-07 Nicolas Garron , Kurt Langfeld

This paper studies the distributed optimization problem under the influence of heavy-tailed gradient noises. Here, a heavy-tailed noise means that the noise does not necessarily satisfy the bounded variance assumption. Instead, it satisfies…

Optimization and Control · Mathematics 2025-05-12 Chao Sun , Huiming Zhang , Bo Chen , Li Yu

As quantum simulators are scaled up to larger system sizes and lower noise rates, non-Markovian noise channels are expected to become dominant. While provably efficient protocols for Markovian models of quantum simulators, either closed…

Quantum Physics · Physics 2025-11-24 Jordi A. Montañà-López , Andreas Elben , Joonhee Choi , Rahul Trivedi

We describe a resource-efficient approach to studying many-body quantum states on noisy, intermediate-scale quantum devices. We employ a sequential generation model that allows us to bound the range of correlations in the resulting…

Quantum Physics · Physics 2021-03-05 Johannes Borregaard , Matthias Christandl , Daniel Stilck França

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

Power-law probability distributions are widely used to model extreme statistical events in complex systems, with applications to a vast array of natural phenomena ranging from earthquakes to stock market crashes to pandemics. We show that…

Quantum Physics · Physics 2026-04-08 Wai-Keong Mok

We address the metrological problem of estimating collective stochastic properties imprinted on a network of quantum sensors. Canonical examples include center-of-mass quadrature fluctuations in a system of bosonic modes and correlated…

Quantum Physics · Physics 2026-02-27 Anthony J. Brady , Yu-Xin Wang , Victor V. Albert , Alexey V. Gorshkov , Quntao Zhuang

The modeling of out-of-equilibrium many-body systems requires to go beyond the low-energy physics and local densities of states. Many-body localization, presence or lack of thermalization and quantum chaos are examples of phenomena in which…

Statistical Mechanics · Physics 2023-06-21 Rémi Lefèvre , Krissia Zawadzki , Grégoire Ithier

We present a formal derivation of the many-body perturbation theory for a system of electrons and bosons subject to a nonlinear electron-boson coupling. The interaction is treated at an arbitrary high order of bosons scattered. The…

Strongly Correlated Electrons · Physics 2018-08-15 Andrea Marini , Yaroslav Pavlyukh

The many-body dynamics of interacting electrons in condensed matter and quantum chemistry is often studied at the quasiparticle level, where the perturbative diagrammatic series is partially resummed. Based on Hedin's equations for…

Strongly Correlated Electrons · Physics 2009-11-11 Luca Guido Molinari , Nicola Manini

The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an…

Quantum Physics · Physics 2020-06-29 Yariv Yanay , Jochen Braumüller , Simon Gustavsson , William D. Oliver , Charles Tahan

We consider some aspects of a standard model employed in studies of many-body localization: interacting spinless fermions with quenched disorder, for non-zero filling fraction, here on $d$-dimensional lattices. The model may be recast as an…

Strongly Correlated Electrons · Physics 2019-01-10 Staszek Welsh , David E. Logan

Strong disorder often has drastic consequences for quantum dynamics. This is best illustrated by the phenomenon of Anderson localization in non-interacting systems, where destructive quantum wave interference leads to the complete absence…

Disordered Systems and Neural Networks · Physics 2025-10-15 Ben T. McDonough , Marius Lemm , Andrew Lucas

A recently proposed statistical theory of the mean fields associated with the ground and excited collective states of a generic many-body system is extended by increasing the dimensions of the P-space. In applying the new framework to…

Nuclear Theory · Physics 2009-11-07 A. De Pace , A. Molinari

We consider fermionic fully-packed loop and quantum dimer models which serve as effective low-energy models for strongly correlated fermions on a checkerboard lattice at half and quarter filling, respectively. We identify a large number of…

Strongly Correlated Electrons · Physics 2011-06-07 Frank Pollmann , Joseph J. Betouras , Kirill Shtengel , Peter Fulde

The structure and dynamics of quantum many-body systems are the result of a delicate interplay between underlying interactions, which leads to intricate entanglement structures. Despite this apparent complexity, symmetries emerge and have…

Quantum Physics · Physics 2024-01-02 Marc Illa , Caroline E. P. Robin , Martin J. Savage
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