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In this work, we study pancake-shaped Bose-Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal directions. We first identify the spectrum of the…

Pattern Formation and Solitons · Physics 2012-05-30 K. J. H. Law , P. G. Kevrekidis , B. P. Anderson , R. Carretero-Gonzalez , D. J. Frantzeskakis

We consider the intrinsic stability of the vortex states of a pure Bose-Einstein condensate confined in a harmonic potential under the effects of coherent atom-atom interaction. We find that stable vortices can be supported, and that vortex…

Statistical Mechanics · Physics 2012-01-25 H. Pu , C. K. Law , J. H. Eberly , N. P. Bigelow

For ultracold and Bose-condensed atoms contained in periodic optical potential wells the quantized nature of their motion is clearly visible. The motion of the atomic wavepacket can also be accurately controlled. For those systems the…

Condensed Matter · Physics 2007-05-23 O. Morsch , E. Arimondo

We show that the phenomenon of modulational instability in arrays of Bose-Einstein condensates confined to optical lattices gives rise to coherent spatial structures of localized excitations. These excitations represent thin disks in 1D,…

Soft Condensed Matter · Physics 2009-11-10 B. B. Baizakov , V. V. Konotop , M. Salerno

We study the interaction of a Bose-Einstein condensate in an optical lattice with additional electromagnetic fields under Raman resonance condition. System of evolution equations describing ultra-short optical pulse propagation and…

Pattern Formation and Solitons · Physics 2009-11-10 A. I. Maimistov , E. V. Kazantseva

In a one-dimensional shallow optical lattice, in the presence of both cubic and quintic nonlinearity, a superfluid density wave is identified in a Bose-Einstein condensate. Interestingly, it ceases to exist when only one of these…

Other Condensed Matter · Physics 2010-04-14 Priyam Das , Manan Vyas , Prasanta K Panigrahi

We observe the formation of momentum distributions indicative of spatial period-doubling of superfluid Bose-Einstein condensates in periodically translated optical lattices. The effect is attributed to dynamic instability of the condensate…

Other Condensed Matter · Physics 2013-05-29 Nathan Gemelke , Edina Sarajlic , Yannick Bidel , Seokchan Hong , Steven Chu

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

An attractive Bose-Einstein condensate with a vortex splits into two pieces via the quadrupole dynamical instability, which arises at a weaker strength of interaction than the monopole and the dipole instabilities. The split pieces…

Condensed Matter · Physics 2009-11-07 Hiroki Saito , Masahito Ueda

We report on experiments that demonstrate dynamical instability in a Bose-Einstein condensate at the band-edge of a one-dimensional optical lattice. The instability manifests as rapid depletion of the condensate and conversion to a thermal…

Other Condensed Matter · Physics 2009-11-13 Andrew J. Ferris , Matthew J. Davis , Reece W. Geursen , P. Blair Blakie , Andrew C. Wilson

The dissipative dynamics of a vortex in a finite temperature trapped Bose-Einstein condensate are shown to be governed by a {\em diffusive instability}. In the weakly interacting regime we find a cross-over from instability to metastability…

Statistical Mechanics · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner

We report the experimental observation of a lensing effect on a Bose-Einstein condensate expanding in a moving 1D optical lattice. The effect of the periodic potential can be described by an effective mass dependent on the condensate…

Soft Condensed Matter · Physics 2009-11-10 L. Fallani , F. S. Cataliotti , J. Catani , C. Fort , M. Modugno , M. Zawada , M. Inguscio

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 the vortex structure of a rapidly rotating trapped atomic Bose-Einstein condensate in the presence of a co-rotating periodic optical lattice potential. We observe a rich variety of structural phases which reflect the interplay…

Soft Condensed Matter · Physics 2009-11-10 H. Pu , L. O. Baksmaty , S. Yi , N. P. Bigelow

We experimentally and theoretically study the peak fraction of a Bose-Einstein condensate loaded into a cubic optical lattice as the lattice potential depth and entropy per particle are varied. This system is well-described by the…

Quantum Gases · Physics 2015-06-23 David McKay , Ushnish Ray , Stefan Natu , Philip Russ , David Ceperley , Brian DeMarco

The existence of quantized vortices is a key feature of Bose-Einstein condensates. In equilibrium condensates only quantum vortices of unit topological charge are stable, due to the dynamical instabilities of multiply charged defects,…

Pattern Formation and Solitons · Physics 2020-06-19 Samuel N. Alperin , Natalia G. Berloff

We experimentally investigate the dynamic instability of Bose-Einstein condensates in an optical ring resonator that is asymmetrically pumped in both directions. We find that, beyond a critical resonator-pump detuning, the system becomes…

Atomic Physics · Physics 2019-04-19 S. C. Schuster , P. Wolf , D. Schmidt , S. Slama , C. Zimmermann

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

We study dynamical and energetic instabilities in the transport properties of Bloch waves for atomic multi-component Bose-Einstein condensates in optical lattices in the tight-binding limit. We obtain stability criteria analytically, as a…

Other Condensed Matter · Physics 2009-11-13 J. Ruostekoski , Zachary Dutton

In this paper we carry out a stability analysis of the Bloch states of a two-component Bose-Einstein condensate confined to a 1d optical lattice. We consider two concrete systems: a mixture of two hyperfine states of Rubidium-87 and a…

Other Condensed Matter · Physics 2013-05-29 Samantha Hooley , Keith A Benedict