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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

We obtain the conditions necessary for the emergence of various low temperature ordered states (local moment antiferromagnetism, unconventional superconductivity, quantum criticality, and Landau Fermi liquid behavior) in Kondo lattice…

Strongly Correlated Electrons · Physics 2015-10-27 Yi-feng Yang , David Pines

We have been investigating the problem of the Anderson localization in a disordered one dimensional tight-binding model. The disorder is created by the interaction of mobile particles with other species, immobilized at random positions. We…

Quantum Gases · Physics 2016-11-23 Jan Major

Significant attention has been devoted to the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Here, we address this issue from an open quantum system perspective, examining an isolated setup…

Quantum Physics · Physics 2025-01-15 Krzysztof Ptaszynski , Massimiliano Esposito

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

We consider long-range correlated disorder and mutual interacting particles according to a dipole-dipole coupling as modifications to the one-dimensional Anderson model. Technically we rely on the (numerical) exact diagonalization of the…

Quantum Gases · Physics 2012-01-11 Conrad Albrecht , Sandro Wimberger

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

We report on the impact of variable-scale disorder on 3D Anderson localization of a non-interacting ultracold atomic gas. A spin-polarized gas of fermionic atoms is localized by allowing it to expand in an optical speckle potential. Using a…

Quantum Gases · Physics 2015-06-16 W. R. McGehee , S. S. Kondov , W. Xu , J. J. Zirbel , B. DeMarco

We characterize the Mott insulating regime of a repulsively interacting Fermi gas of ultracold atoms in a three-dimensional optical lattice. We use in-situ imaging to extract the central density of the gas, and to determine its local…

The presence of frozen uncorrelated random on-site potential in interacting quantum systems can induce a transition from an ergodic phase to a localized one, the so-called many-body localization. Here we numerically study the effects of…

Disordered Systems and Neural Networks · Physics 2023-01-05 Isaías Vallejo-Fabila , E. Jonathan Torres-Herrera

Several new aspects of the subtle interplay between electronic correlations and disorder are reviewed. First, the dynamical mean-field theory (DMFT)together with the geometrically averaged ("typical") local density of states is employed to…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , U. Yu , D. Vollhardt

The one-dimensional tilted, periodically driven Fermi-Hubbard chain is a paradigm in the study of quantum many-body physics, particularly for solid-state systems. We uncover the emergence of Floquet scarring states, a class of quantum…

Quantum Physics · Physics 2025-04-04 Jun-Yin Huang , Li-Li Ye , Ying-Cheng Lai

We explore the effect of disorder on a few-boson system in a finite one-dimensional quasiperiodic potential covering the full interaction ranging from uncorrelated to strongly correlated particles. We apply numerically exact…

Quantum Gases · Physics 2025-02-21 Barnali Chakrabarti , Arnaldo Gammal

The localization properties of one-dimensional degenerate Fermi gases with cavity-assisted non-local quasiperiodic interactions are numerically studied. Although the cavity-induced interaction is typically nonlocal, it is proved that the…

Quantum Gases · Physics 2023-09-21 Jianwen Jie , Qingze Guan , Jian-Song Pan

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

Disordered Systems and Neural Networks · Physics 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

The question whether Anderson insulators can persist to finite-strength interactions - a scenario dubbed many-body localization - has recently received a great deal of interest. The origin of such a many-body localized phase has been…

Disordered Systems and Neural Networks · Physics 2013-09-18 Bela Bauer , Chetan Nayak

We study the real-time dynamics of local occupation numbers in a one-dimensional model of spinless fermions with a random on-site potential for a certain class of initial states. The latter are thermal (mixed or pure) states of the model in…

Statistical Mechanics · Physics 2018-10-09 Jonas Richter , Jacek Herbrych , Robin Steinigeweg

Via the hierarchy of correlations, we study the strongly interacting Fermi-Hubbard model in the Mott insulator state and couple it to a Markovian environment which constantly monitors the particle numbers $\hat n_\mu^\uparrow$ and $\hat…

Strongly Correlated Electrons · Physics 2019-04-10 Friedemann Queisser , Ralf Schützhold

We propose and analyze a new approach to the coherent control and manipulation of quantum degrees of freedom in disordered, interacting systems in the many-body localized phase. Our approach leverages a number of unique features of…

Quantum Physics · Physics 2015-08-31 Soonwon Choi , Norman Y. Yao , Sarang Gopalakrishnan , Mikhail D. Lukin

Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenberg spin-1/2 chain. This system is frequently used to model…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. I. Dykman , L. F. Santos , M. Shapiro