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The competition of different length scales in quantum many-body systems leads to various novel phenomena, including the emergence of correlated dynamics or non-local order. To access and investigate such effects in an itinerant…

Optical lattice systems provide exceptional platforms for quantum simulation of many-body systems. We focus on the doubly modulated Bose-Hubbard model driven by both time-dependent on-site energy and interaction, and predict the emergence…

Quantum Gases · Physics 2019-11-20 Hongzheng Zhao , Johannes Knolle , Florian Mintert

The dynamics of Bose-Einstein condensates in the lowest energy band of a one-dimensional optical lattice is generally disturbed by the presence of transversally excited resonant states. We propose an effective one-dimensional theory which…

Other Condensed Matter · Physics 2007-05-23 K. -P. Marzlin , V. I. Yukalov

We explore properties of a Gross-Pitaevskii chain subject to an incommensurate periodic potential, i.e., a nonlinear Aubry-Andre model. We show that the condensate crucially impacts the properties of the elementary excitations. In contrast…

Disordered Systems and Neural Networks · Physics 2025-11-25 Oleg I. Utesov , Yeongjun Kim , Sergej Flach

We realize and study the ionic Hubbard model using an interacting two-component gas of fermionic atoms loaded into an optical lattice. The bipartite lattice has honeycomb geometry with a staggered energy-offset that explicitly breaks the…

Strongly interacting bosons in 2D in a rotating square lattice are investigated via a modified Bose-Hubbard Hamiltonian. Such a system corresponds to a rotating lattice potential imprinted on a trapped Bose-Einstein condensate. Second-order…

Other Condensed Matter · Physics 2009-11-11 Rajiv Bhat , L. D. Carr , M. J. Holland

The mode structure of a Bose-Einstein condensate non-adiabatically loaded into a one-dimensional optical lattice is studied by analyzing the visibility of the interference pattern as well as the radial profile of the condensate after a…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , J. H. Müller , D. Ciampini , M. Cristiani , P. B. Blakie , C. J. Williams , P. S. Julienne , E. Arimondo

We investigate localization properties in a two-coupled uniform chains with quasiperiodic modulation on interchain coupling strength. We demonstrate that this ladder is equivalent to a Aubry-Andre (AA) chain when two legs are symmetric.…

Disordered Systems and Neural Networks · Physics 2021-06-24 R. Wang , X. M. Yang , Z. Song

In this article the extended Bose-Hubbard model describing ultra-cold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to…

Quantum Gases · Physics 2015-03-20 Tomasz Sowiński

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

We observe the emergence of a disorder-induced insulating state in a strongly interacting atomic Fermi gas trapped in an optical lattice. This closed quantum system free of a thermal reservoir realizes the disordered Fermi-Hubbard model,…

Quantum Gases · Physics 2015-03-05 S. S. Kondov , W. R. McGehee , W. Xu , B. DeMarco

In this paper we examine the excitations observable in atoms confined in an optical lattice around the superfluid-insulator transition. We use increases in the number variance of atoms, subsequent to tilting the lattice as the primary…

Soft Condensed Matter · Physics 2013-05-29 K. Braun-Munzinger , J. A. Dunningham , K. Burnett

We analyze the time evolution of the Bose-Hubbard model after a sudden quantum quench to a weakly interacting regime. Specifically, motivated by a recent experiment at Kyoto University, we numerically simulate redistribution of the kinetic…

Quantum Gases · Physics 2019-02-27 Kazuma Nagao , Masaya Kunimi , Yosuke Takasu , Yoshiro Takahashi , Ippei Danshita

Recent experimental progress in magnetic atoms and polar molecules has created the prospect of simulating dipolar Hubbard models with off-site interactions. When applied to real-space cylindrical optical lattices, these anisotropic…

Quantum Gases · Physics 2022-05-05 Michael Hughes , Dieter Jaksch

In non-hermitian systems, the particular position at which two eigenstates coalesce under a variation of a parameter in the complex plane is called an exceptional point. A non-perturbative theory is proposed which describes the evolution of…

We report the observation of exponential localization of a Bose-Einstein condensate (BEC) released into a one-dimensional waveguide in the presence of a controlled disorder created by laser speckle . We operate in a regime allowing AL: i)…

Spontaneously crystalline ground states, called quantum crystals, of a trapped Rydberg-dressed Bose-Einstein condensate are numerically investigated. As a result described by a mean-field order parameter, such states simultaneously possess…

Quantum Gases · Physics 2016-11-25 C. -H. Hsueh , T. -C. Lin , T. -L. Horng , W. C. Wu

The intricate relationship between electrons and the crystal lattice is a linchpin in condensed matter, traditionally described by the Fr\"ohlich model encompassing the lowest-order lattice-electron coupling. Recently developed quantum…

Strongly Correlated Electrons · Physics 2024-07-02 Yoel Zimmermann , Joonas Keski-Rahkonen , Anton M. Graf , Eric J. Heller

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

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko
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