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Particles in a perfect lattice potential perform Bloch oscillations when subject to a constant force, leading to localization and preventing conductivity. For a weakly-interacting Bose-Einstein condensate (BEC) of Cs atoms, we observe giant…

We study the interaction of a Bose-Einstein condensate, which is confined in an optical lattice, with a largely detuned light field propagating through the condensate. If the condensate is in its ground state it acts as a periodic…

Statistical Mechanics · Physics 2009-10-31 Karl-Peter Marzlin , Weiping Zhang

We study quantum squeezing and entanglement of gap solitons in a Bose-Einstein condensate loaded into a one-dimensional optical lattice. By employing a linearized quantum theory we find that quantum noise squeezing of gap solitons, produced…

Quantum Physics · Physics 2013-05-29 Ray-Kuang Lee , Elena A. Ostrovskaya , Yuri S. Kivshar , Yinchieh Lai

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we…

Condensed Matter · Physics 2009-11-07 Pearl J. Y. Louis , Elena A. Ostrovskaya , Craig M. Savage , Yuri S. Kivshar

We study systematically the period-doubled Bloch states for a weakly interacting Bose-Einstein condensate in a one-dimensional optical lattice. This kind of state is of form $\psi_k=e^{ikx}\phi_k(x)$, where $\phi_k(x)$ is of period twice…

Quantum Gases · Physics 2018-08-15 Baoguo Yang , Pengju Tang , Xinxin Guo , Xuzong Chen , Biao Wu , Xiaoji Zhou

We investigate the ground-state properties of spin-orbit coupled Bose-Einstein condensates in spin-dependent optical lattices. The competition between the spin-orbit coupling strength and the depth of the optical lattice leads to a rich…

Quantum Gases · Physics 2013-01-11 Wei Han , Suying Zhang , Wu-Ming Liu

We study the dynamics of self-trapping in Bose-Einstein condensates (BECs) loaded in deep optical lattices with Gaussian initial conditions, when the dynamics is well described by the Discrete Nonlinear Schr\"odinger Equation (DNLS). In the…

Pattern Formation and Solitons · Physics 2016-03-30 H. Hennig , T. Neff , R. Fleischmann

We study the vortex dynamics and vortex pinning effect in Bose-Einstein condensate in a rotating double-well trap potential and co-rotating optical lattice. We show that, in agreement with the experiment, the vortex number do not diverge…

Quantum Gases · Physics 2014-08-25 T. Mithun , K. Porsezian , Bishwajyoti Dey

Models of two-dimensional (2D) traps, with the double-well structure in the third direction, for Bose-Einstein condensate (BEC) are introduced, with attractive or repulsive interactions between atoms. The models are based on systems of…

Pattern Formation and Solitons · Physics 2009-11-13 Arthur Gubeskys , Boris A. Malomed

The hydrodynamic equations of superfluids for a weakly interacting Bose gas are generalized to include the effects of periodic optical potentials produced by stationary laser beams. The new equations are characterized by a renormalized…

Condensed Matter · Physics 2009-11-07 M. Kraemer , L. Pitaevskii , S. Stringari

We analyze free expansion of a trapped one-dimensional Bose gas after a sudden release from the confining trap potential. By using the stationary phase and local density approximations, we show that the long-time asymptotic density profile…

Quantum Gases · Physics 2015-03-31 A. S. Campbell , D. M. Gangardt , K. V. Kheruntsyan

A condensate in an optical lattice, prepared in the ground state of the superfluid regime, is stimulated first by suddenly increasing the optical lattice amplitude and then, after a waiting time, by abruptly decreasing this amplitude to its…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Roberto Franzosi

The self-trapping of exciton-polariton condensates is demonstrated and explained by the formation of a new polaron-like state. Above the polariton lasing threshold, local variation of the lattice temperature provides the mechanism for an…

The superfluidity of Bose-Einstein condensates in optical lattices are investigated. Apart from the usual Landau instability which occurs when a BEC flows faster than the speed of sound, the BEC can also suffer a dynamical instability,…

Condensed Matter · Physics 2009-10-31 Biao Wu , Qian Niu

By numerical solution and variational approximation of the Gross-Pitaevskii equation, we studied the localization of a noninteracting and weakly-interacting Bose-Einstein condensate in a weakly perturbed optical lattice in one and three…

Quantum Gases · Physics 2015-06-03 Yongshan Cheng , S. K. Adhikari

We theoretically investigate the localization of an expanding Bose-Einstein condensate with repulsive atom-atom interactions in a disordered potential. We focus on the regime where the initial inter-atomic interactions dominate over the…

Other Condensed Matter · Physics 2008-12-18 Laurent Sanchez-Palencia , David Clément , Pierre Lugan , Philippe Bouyer , Alain Aspect

We report on measurements of resonantly enhanced tunneling of Bose-Einstein condensates loaded into an optical lattice. By controlling the initial conditions of our system we were able to observe resonant tunneling in the ground and the…

Other Condensed Matter · Physics 2007-05-23 C. Sias , A. Zenesini , H. Lignier , S. Wimberger , D. Ciampini , O. Morsch , E. Arimondo

We analyze the existence and stability of two kinds of self-trapped spatially localized gap modes, gap solitons and truncated nonlinear Bloch waves, in one-and two-dimensional optical or matter-wave media with self-focusing nonlinearity,…

Pattern Formation and Solitons · Physics 2019-09-25 Jincheng Shi , Jianhua Zeng

We present an efficient three-dimensional dark-focus optical trapping potential for neutral atoms and Bose-Einstein condensates. This "optical bottle" is created by a single blue-detuned light field exploiting the phenomenon of conical…

Quantum Gases · Physics 2024-10-29 D. Pfeiffer , L. Lind , J. Küber , F. Schmaltz , A. Turpin , V. Ahufinger , J. Mompart , G. Birkl