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We perform a quantitative simulation of the repulsive Fermi-Hubbard model using an ultracold gas trapped in an optical lattice. The entropy of the system is determined by comparing accurate measurements of the equilibrium double occupancy…

The control of many-body quantum dynamics in complex systems is a key challenge in the quest to reliably produce and manipulate large-scale quantum entangled states. Recently, quench experiments in Rydberg atom arrays (Bluvstein et. al.,…

The decoupling of spin and density dynamics is a remarkable feature of quantum one-dimensional many-body systems. In a few-body regime, however, little is known about this phenomenon. To address this problem, we study the time evolution of…

Quantum Gases · Physics 2020-01-13 Rafael Emilio Barfknecht , Angela Foerster , Nikolaj Thomas Zinner

It was recently argued that one-dimensional systems of several strongly interacting fermions of different mass undergo critical transitions between different spatial orderings when the external confinement adiabatically changes its shape.…

Quantum Gases · Physics 2021-11-22 Damian Włodzyński , Tomasz Sowiński

The correlated non-equilibrium dynamics of few-boson systems in one-dimensional finite lattices is investigated. Starting from weak interactions we perform a sudden interaction quench and employ the numerically exact Multi-Layer…

Quantum Gases · Physics 2017-10-31 S. I. Mistakidis , L. Cao , P. Schmelcher

We construct a set of exact, highly excited eigenstates for a nonintegrable spin-1/2 model in one dimension that is relevant to experiments on Rydberg atoms in the antiblockade regime. These states provide a new solvable example of quantum…

Strongly Correlated Electrons · Physics 2020-01-30 Thomas Iadecola , Michael Schecter

We analyze a class of one-dimensional quantum systems characterized by a position-dependent kinetic term arising as the continuum limit of an inhomogeneous tight-binding model with spatially varying hopping amplitudes. In this limit, the…

Statistical Mechanics · Physics 2026-04-14 Giuseppe Del Vecchio Del Vecchio , Manas Kulkarni , Satya N. Majumdar , Sanjib Sabhapandit

We construct a 1D model Hamiltonian of spinless fermions for which the spinless analogue of $\eta$-pairing states are quantum many-body scars of the model. These states are excited states and display subvolume entanglement entropy scaling;…

Strongly Correlated Electrons · Physics 2022-12-29 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a…

Disordered Systems and Neural Networks · Physics 2021-01-14 Louk Rademaker , Dmitry A. Abanin

It is an outstanding goal to unveil the key features of quantum dynamics at eigenstate transitions. Focusing on quadratic fermionic Hamiltonians that exhibit localization transitions, we identify physical observables that exhibit…

Statistical Mechanics · Physics 2024-07-16 Simon Jiricek , Miroslav Hopjan , Patrycja Łydżba , Fabian Heidrich-Meisner , Lev Vidmar

Entanglement is a distinguishing feature of quantum many-body systems, and uncovering the entanglement structure for large particle numbers in quantum simulation experiments is a fundamental challenge in quantum information science. Here we…

We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice. The fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted…

Quantum Physics · Physics 2021-03-03 Li Zhang , Yongguan Ke , Wenjie Liu , Chaohong Lee

In this work, we develop a self-consistent Hartree-Fock approach to theoretically study the far-from-equilibrium quantum dynamics of interacting fermions, and apply this approach to explore the onset of many-body localization (MBL) in these…

Disordered Systems and Neural Networks · Physics 2018-12-31 Simon A. Weidinger , Sarang Gopalakrishnan , Michael Knap

Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible…

Few- and many-fermion systems on the verge of stability, and consisting of strongly interacting particles, appear in many areas of physics. The theoretical modeling of such systems is a very difficult problem. In this work we present a…

Quantum Gases · Physics 2015-05-20 C. Forssén , R. Lundmark , J. Rotureau , J. Larsson , D. Lidberg

Advances with trapped ultracold atoms intensified interest in simulating complex physical phenomena, including quantum magnetism and transitions from itinerant to non-itinerant behavior. Here we show formation of antiferromagnetic ground…

Quantum Gases · Physics 2016-08-30 Constantine Yannouleas , Benedikt B. Brandt , Uzi Landman

We consider isolated quantum systems with all of their many-body eigenstates localized. We define a sense in which such systems are integrable, and discuss a method for finding their localized conserved quantum numbers ("constants of…

Disordered Systems and Neural Networks · Physics 2015-04-07 David A. Huse , Vadim Oganesyan

We show how the tracer motion of tagged, distinguishable particles can effectively describe transport in various homogeneous quantum many-body systems with constraints. We consider systems of spinful particles on a one-dimensional lattice…

Strongly Correlated Electrons · Physics 2022-10-20 Johannes Feldmeier , William Witczak-Krempa , Michael Knap

We study the one-dimensional attractive Fermionic Hubbard model under the influence of periodic driving with the time-dependent density matrix renormalization group method. We show that the system can be driven into an unconventional…

Quantum Gases · Physics 2017-02-08 Alberto Nocera , Anatoli Polkovnikov , Adrian E. Feiguin

Local quantum criticality in itinerant fermion systems has been extensively investigated through the soft-gap Anderson impurity model, wherein a localized, correlated impurity, hybridizes with a broad conduction band with a singular,…

Strongly Correlated Electrons · Physics 2024-10-21 Sujan K. K. , Vinayak M. Kulkarni , N. S. Vidhyadhiraja , Sudeshna Sen