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The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently,…

Quantum Gases · Physics 2012-11-16 Alexander Yu. Cherny , Jean-Sebastien Caux , Joachim Brand

Using quantum Monte Carlo simulations, we study a mixture of bosons and fermions loaded on an optical lattice. With simple on-site repulsive interactions, this system can be driven into a solid phase. We dope this phase and, in analogy with…

Other Condensed Matter · Physics 2008-11-05 Frederic Hebert , George G. Batrouni , Xavier Roy , Valery G. Rousseau

Motivated by the recent rapid development of the field of quantum gases in optical lattices, we present a comprehensive study of the spectrum of ultracold atoms in a one-dimensional optical lattice subjected to a periodic lattice…

Quantum Gases · Physics 2011-10-11 Jia-Wei Huo , Fu-Chun Zhang , Weiqiang Chen , M. Troyer , U. Schollwöck

We study superfluid to Anderson insulator transition of strongly repulsive Bose gas in a one dimensional incommensurate optical lattice. In the hard core limit, the Bose-Fermi mapping allows us to deal with the system exactly by using the…

Quantum Gases · Physics 2010-03-02 Xiaoming Cai , Shu Chen , Yupeng Wang

We analyze the interference pattern produced by ultracold atoms released from an optical lattice. Such interference patterns are commonly interpreted as the momentum distributions of the trapped quantum gas. We show that for finite…

We study the vortex formation in optical lattices submitted to artificial gauge potentials. We compute the superfluid density for Abelian and non-Abelian gauge potentials with a mean-field approach of the Bose-Hubbard model and we determine…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 N. Goldman

We analyze interacting one-dimensional bosons in the continuum, subject to a periodic sinusoidal potential of arbitrary depth. Variation of the lattice depth tunes the system from the Bose-Hubbard limit for deep lattices, through the…

Quantum Gases · Physics 2013-06-21 Achilleas Lazarides , Masudul Haque

The stability of superfluid currents in a system of ultracold bosons was studied using a moving optical lattice. Superfluid currents in a very weak lattice become unstable when their momentum exceeds 0.5 recoil momentum. Superfluidity…

The system of Bose-Fermi superfluid mixture offers a playground to explore rich macroscopic quantum phenomena. In a recent experiment of Yao {\it et al.} [Phys. Rev. Lett. {\bf 117}, 145301 (2016)], $^{41}$K-$^{6}$Li superfluid mixture is…

Quantum Gases · Physics 2023-09-19 Wen Wen , Lu Zhou , Zhenjun Zhang , Hui-jun Li

We consider the physics of lattice bosons affected by disordered on-site interparticle interactions. Characteristic qualitative changes in the zero temperature phase diagram are observed when compared to the case of randomness in the…

Other Condensed Matter · Physics 2009-11-11 H. Gimperlein , S. Wessel , J. Schmiedmayer , L. Santos

In response to a recent manuscript [cond-mat/0609685] on the analysis of interference patterns produced by ultracold atoms released from an optical lattice, we point out that in the presence of a Bose-Einstein condensate the interference…

Statistical Mechanics · Physics 2007-05-23 Fabrice Gerbier , Simon Foelling , Artur Widera , Immanuel Bloch

A finite one-dimensional microscopic model of a superfulid is presented. The model consists of interacting Bose particles with an additional impurity particle confined to a ring. Both semiclassical and exact quantum calculations reveal…

Other Condensed Matter · Physics 2015-05-14 Mikhail Ovchinnikov , Alexey Novikov

Ultracold bosonic atoms in optical lattices self-organize into a variety of structural and quantum phases when placed into a single-mode cavity and pumped by a laser. Cavity optomechanical effects induce an atom density modulation at the…

Quantum Gases · Physics 2016-09-14 Astrid E. Niederle , Giovanna Morigi , Heiko Rieger

We study the dynamics of a one-dimensional Bose gas at unit filling in both shallow and deep optical lattices and obtain the dynamic structure factor ${S(k,\omega)}$ by monitoring the linear response to a weak probe pulse. We introduce a…

Quantum Gases · Physics 2022-08-24 Mathias Gartner , Ferran Mazzanti , Robert E. Zillich

The dynamics of an ultracold dilute gas of bosonic atoms in an optical lattice can be described by a Bose-Hubbard model where the system parameters are controlled by laser light. We study the continuous (zero temperature) quantum phase…

Statistical Mechanics · Physics 2009-10-31 D. Jaksch , C. Bruder , J. I. Cirac , C. W. Gardiner , P. Zoller

Ultra-cold atoms in optical lattices realize simple, fundamental models in condensed matter physics. Our 87Rb Bose-Einstein condensate is confined in a harmonic trapping potential to which we add an optical lattice potential. Here we…

Quantum Gases · Physics 2010-09-15 K. Jimenez-Garcia , R. L. Compton , Y. -J. Lin , W. D. Phillips , J. V. Porto , I. B. Spielman

Several models of a strongly interacting Bose gas in an optical lattice are studied within the functional-integral approach. The one-dimensional Bose gas is briefly discussed. Then the Bose-Einstein condensate and the Mott insulator of a…

Other Condensed Matter · Physics 2022-06-15 Ch. Moseley , O. Fialko , K. Ziegler

We study the boundary nature of trapped bosonic Mott insulators in optical square lattices, by performing quantum Monte Carlo simulation. We show that a finite superfluid density generally emerges in the incommensurate-filling (IC) boundary…

Strongly Correlated Electrons · Physics 2015-05-26 Takafumi Suzuki , Masahiro Sato

Starting from an effective action for the order parameter field, we derive a coupled set of generalized hydrodynamic equations for a Bose condensate in an optical lattice at finite temperatures. Using the linearized hydrodynamic equations,…

Other Condensed Matter · Physics 2009-11-11 Satoru Konabe , Tetsuro Nikuni

The superfluid-insulator transition in systems of lattice bosons is usually analyzed in the framework of the Bose-Hubbard model, and has been extensively studied by theory and simulations. Less attention has been paid to the remnants of the…

Quantum Gases · Physics 2026-05-27 Gabriele Costa , Matteo Ciardi , Fabio Cinti , Santi Prestipino