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We investigate a Bose-Einstein condensate trapped in a 2D optical lattice in the presence of weak disorder within the framework of the Bogoliubov theory. In particular, we analyze the combined effects of disorder and an optical lattice on…

Quantum Gases · Physics 2015-05-14 Ying Hu , Zhaoxin Liang , Bambi Hu

We analyze the macroscopic dynamics of a Bose gas axially confined in an optical lattice with a superimposed harmonic trap, taking into account weak tunneling effect. Our results show that upon transition to the quasi-two-dimensional (2D)…

Quantum Gases · Physics 2015-05-27 Ying Hu , Zhaoxin Liang

We investigate the combined effects of weak disorder and a two-dimensional (2D) optical lattice on the collective excitations of a harmonically trapped Bose-Einstein condensate (BEC) at zero temperature. Accordingly, we generalize the…

Quantum Gases · Physics 2015-05-18 Ying Hu , Zhaoxin Liang , Bambi Hu

We study the phase transition of a gas of Rb atoms to quantum degeneracy in the combined potential of a harmonically confining magnetic trap and the periodic potential of an optical lattice. For high optical lattice potentials we observe a…

Condensed Matter · Physics 2009-05-28 S. Burger , F. S. Cataliotti , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

Equation of state (EOS) for a pure two-dimensional (2D) Bose gas exhibits a logarithmic dependence on the s-wave scattering length [L. Salasnich, Phys. Rev. Lett. 118, 130402 (2017)]. The pronounced disparity between the EOS of a 2D Bose…

Quantum Gases · Physics 2025-04-11 Xiaoran Ye , Tao Yu , Zhaoxin Liang

The combined effect of disorder and interactions is central to the richness of condensed matter physics and can lead to novel quantum states such as the Bose glass phase in disordered bosonic systems. Here, we report on the experimental…

Quantum Gases · Physics 2025-05-12 Jr-Chiun Yu , Shaurya Bhave , Lee Reeve , Bo Song , Ulrich Schneider

Two-dimensional (2D) systems play a special role in many-body physics. Because of thermal fluctuations, they cannot undergo a conventional phase transition associated to the breaking of a continuous symmetry. Nevertheless they may exhibit a…

The properties of phase transitions and the types of order present in the low-temperature states of matter are fundamentally dependent on the dimensionality of physical systems. Generally, highly ordered states are more robust in higher…

Quantum Gases · Physics 2012-02-15 Zoran Hadzibabic , Jean Dalibard

We discuss a possibility of observing superfluid phenomena in a quasi-1D weakly interacting Bose gas at finite temperatures. The weakness of interaction in combination with generic properties of 1D liquids can result in a situation when…

Condensed Matter · Physics 2016-08-31 Yu. Kagan , N. V. Prokof'ev , B. V. Svistunov

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

We use Bogoliubov theory to calculate the beyond mean field correction to the equation of state of a weakly interacting Bose gas in the presence of a tight 2D optical lattice. We show that the lattice induces a characteristic 3D to 1D…

Other Condensed Matter · Physics 2009-11-11 G. Orso , C. Menotti , S. Stringari

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

An ultra cold atomic Bose gas in an optical lattice is shown to provide an ideal system for the controlled analysis of disordered Bose lattice gases. This goal may be easily achieved under the current experimental conditions, by introducing…

Soft Condensed Matter · Physics 2009-11-10 B. Damski , J. Zakrzewski , L. Santos , P. Zoller , M. Lewenstein

We report the observation of strongly damped dipole oscillations of a quantum degenerate 1D atomic Bose gas in a combined harmonic and optical lattice potential. Damping is significant for very shallow axial lattices (0.25 photon recoil…

Other Condensed Matter · Physics 2009-11-10 C. D. Fertig , K. M. O'Hara , J. H. Huckans , S. L. Rolston , W. D. Phillips , J. V. Porto

We analyze the macroscopic dynamics of a Bose gas in a harmonic trap with a superimposed two-dimensional optical lattice, assuming a weak coupling between different lattice sites. We consider the situation in which the local chemical…

Condensed Matter · Physics 2009-11-10 P. Pedri , L. Santos

Dimensionality serves as an indispensable ingredient in any attempt to formulate the low-dimensional physics, and studying the dimensional crossover at a fundamental level is challenging. The purpose of this work is to study the…

Quantum Gases · Physics 2022-11-22 KangKang Li , Zhaoxin Liang

Using \emph{in situ} measurements on a quasi two-dimensional, harmonically trapped $^{87}$Rb gas, we infer various equations of state for the equivalent homogeneous fluid. From the dependence of the total atom number and the central density…

Quantum Gases · Physics 2011-12-02 Tarik Yefsah , Rémi Desbuquois , Lauriane Chomaz , Kenneth J. Günter , Jean Dalibard

Zero temperature properties of a dilute weakly interacting $d$-dimensional Bose gas in a random potential are studied. We calculate geometrical and energetic characteristics of the localized state of a gas confined in a large box or in a…

Quantum Physics · Physics 2015-05-13 G. M. Falco , T. Nattermann , V. L. Pokrovsky

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

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
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