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We analyze the time evolution of an open quantum system driven by a localized source of bosons. We consider non-interacting identical bosons that are injected into a single lattice site and and perform a continuous time quantum walks on a…

Quantum Gases · Physics 2020-07-16 P. L. Krapivsky , Kirone Mallick , Dries Sels

We consider the Bose-Einstein condensate trapped in optical lattice, which is formed from two kinds of deep potentials. The tight-binding approximation was used. Steady state distribution of the probability amplitudes and the site…

Pattern Formation and Solitons · Physics 2007-12-12 Ekaterina A. Sorokina , Andrei I. Maimistov

We investigate nonergodic behavior of the one-dimensional Bose-Hubbard model, which emerges in the unitary quantum dynamics starting with initial-state $|\psi(0)\rangle=|\cdots 2020\cdots \rangle$ in the presence of a trapping potential. We…

Quantum Gases · Physics 2021-10-29 Masaya Kunimi , Ippei Danshita

We investigate two-body collisions occurring during the time-of-flight expansion of interacting three-dimensional lattice Bose superfluids. The number of collisions is extracted from the observed s-wave scattering halos located between the…

Quantum Gases · Physics 2020-01-15 Antoine Tenart , Cécile Carcy , Hugo Cayla , Thomas Bourdel , Marco Mancini , David Clément

We study the unitary dynamics of a one-dimensional gas of hard-core bosons trapped into a harmonic potential which varies periodically in time with frequency $\omega(t)$. Such periodic systems can be classified into orbits of different…

Statistical Mechanics · Physics 2018-04-10 Stefano Scopa , Jéremie Unterberger , Dragi Karevski

We study the dynamics of strongly correlated one-dimensional Bose gases in a combined harmonic and optical lattice potential subjected to sudden displacement of the confining potential. Using the time-evolving block decimation method, we…

Other Condensed Matter · Physics 2009-11-13 Ippei Danshita , Charles W. Clark

We present a 1D effective model for the evolution of a cigar-shaped Bose-Einstein condensate in time dependent potentials whose radial component is harmonic. We apply this model to investigate the dynamics and expansion of condensates in 1D…

Condensed Matter · Physics 2009-11-07 Pietro Massignan , Michele Modugno

We study quantum vortex states of strongly interacting bosons in a two-dimensional rotating optical lattice. The system is modeled by Bose-Hubbard Hamiltonian with rotation. We consider lattices of different geometries, such as square,…

Quantum Gases · Physics 2022-02-03 Mukesh P. Khanore , Bishwajyoti Dey

It is a well-understood fact that the transport of excitations throughout a lattice is intimately governed by the underlying structures. Hence, it is only natural to recognize that also the dispersion of information has to depend on the…

Quantum Physics · Physics 2024-04-19 Devjyoti Tripathy , Akram Touil , Bartłomiej Gardas , Sebastian Deffner

We investigate the propagation of two-point density correlations in the one-dimensional Bose-Hubbard Hamiltonian in the thermodynamic limit in terms of the correlation transport distance (CTD), an experimentally measurable magnitude that…

Quantum Physics · Physics 2026-05-08 Óscar Dueñas , Alberto Rodríguez

We study properties of the strongly repulsive Bose gas on one-dimensional incommensurate optical lattices with a harmonic trap, which can be deal with by using the exact numerical method through the Bose-Fermi mapping. We first exploit the…

Disordered Systems and Neural Networks · Physics 2010-06-01 Xiaoming Cai , Shu Chen , Yupeng Wang

We study dynamical behaviors of the weakly interacting Bose-Einstein condensate in the one-dimensional optical lattice with an overall double-well potential by solving the time-dependent Gross-Pitaevskii equation. It is observed that the…

Quantum Gases · Physics 2022-03-23 Hanlei Zheng , Qiang Gu

We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

Statistical Mechanics · Physics 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

We report results from a systematic analytic strong-coupling expansion of the Bose-Hubbard model in one and two spatial dimensions. We obtain numerically exact results for the dispersion of single particle and single hole excitations in the…

Condensed Matter · Physics 2009-10-31 N. Elstner , H. Monien

We study the dynamics of a non-integrable system comprising interacting cold bosons trapped in an optical lattice in one-dimension by means of exact time-dependent numerical DMRG techniques. Particles are confined by a parabolic potential,…

Other Condensed Matter · Physics 2009-11-13 Simone Montangero , Rosario Fazio , Peter Zoller , Guido Pupillo

We experimentally investigate the adiabatic loading of a Bose-Einstein condensate into an optical lattice potential. The generation of excitations during the ramp is detected by a corresponding decrease in the visibility of the interference…

Other Condensed Matter · Physics 2014-03-28 T. Gericke , F. Gerbier , A. Widera , S. Foelling , O. Mandel , I. Bloch

We investigate the form and stability of a cloud of atoms confined in a harmonic trap when the scattering length is negative. We find that, besides the known low density metastable solution, a new branch of Bose condensate appears at higher…

Condensed Matter · Physics 2009-10-31 Alberto Parola , Luca Salasnich , Luciano Reatto

We analyze the decay of ultracold atoms from an optical lattice with loss form a single lattice site. If the initial state is dynamically stable a suitable amount of dissipation can stabilize a Bose-Einstein condensate, such that it remains…

Quantum Gases · Physics 2013-07-08 Georgios Kordas , Sandro Wimberger , Dirk Witthaut

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

We use quantum Monte Carlo (QMC) simulations to study the combined effects of harmonic confinement and temperature for bosons in a two dimensional optical lattice. The scale invariant, finite temperature, state diagram is presented for the…

Quantum Gases · Physics 2015-03-18 K. W. Mahmud , E. N. Duchon , Y. Kato , N. Kawashima , R. T. Scalettar , N. Trivedi