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We study the formation of Faraday waves in an elongated Bose-Einstein condensate in presence of a one-dimensional optical lattice, where phonons are parametrically excited by modulating the radial confinement of the condensate. For very…

Quantum Gases · Physics 2015-05-20 Pablo Capuzzi , Mario Gattobigio , Patrizia Vignolo

We study modulational instability of two-component Bose-Einstein condensates in an optical lattice, which is modelled as a coupled discrete nonlinear Schr \"{o}dinger equation. The excitation spectrum and the modulational instability…

Quantum Physics · Physics 2016-09-08 Guang-Ri Jin , Chul Koo Kim , Kyun Nahm

We give an overview on current experiments on Bose-Einstein condensation (BEC) in a one-dimensional (1D) optical lattice. We introduce measurements of ground state, tunnelling and dynamical properties as well as investigations of atom…

Condensed Matter · Physics 2015-09-11 S. Burger , F. S. Cataliotti , F. Ferlaino , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

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

By accelerating a Bose-Einstein condensate in a controlled way across the edge of the Brillouin zone of a 1D optical lattice, we investigate the stability of the condensate in the vicinity of the zone edge. Through an analysis of the…

Condensed Matter · Physics 2009-11-10 M. Cristiani , O. Morsch , N. Malossi , M. Jona-Lasinio , M. Anderlini , E. Courtade , E. Arimondo

We analyze the effects of sequences of standing wave pulses on a Bose-Einstein condensate (BEC). Experimental observations are in good agreement with a numerical simulation based on the band structure theory in the optical lattice. We also…

Quantum Gases · Physics 2015-05-27 Wei Xiong , Xuguang Yue , Zhongkai Wang , Xiaoji Zhou , Xuzong Chen

Even at zero temperature, there exist phase fluctuations associated with an array of Bose-Einstein condensates confined in a one-dimensional optical lattice. We demonstrate a method to measure the phase fluctuations based on the Fourier…

Quantum Gases · Physics 2015-06-11 Bing Wang , Qiang Zhu , Hailong Zhou , Dezhi Xiong , Hongwei Xiong , Baolong Lu

We present in this paper an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site) targeting the critical regime of the Bose - Einstein Condensate superfluid - Mott insulator…

Other Condensed Matter · Physics 2013-05-29 Esteban Calzetta , Bei-Lok Hu , Ana Maria Rey

The phase transition from a superfluid to a Mott insulator has been observed in a $^{23}$Na Bose-Einstein condensate. A dye laser detuned $\approx 5$nm red of the Na $3^2$S$ \to 3^2$P$_{1/2}$ transition was used to form the three…

Other Condensed Matter · Physics 2009-11-11 K. Xu , Y. Liu , J. R. Abo-Shaeer , T. Mukaiyama , J. K. Chin , D. E. Miller , W. Ketterle , Kevin M. Jones , Eite Tiesinga

We investigate the potential for controlling a non-interacting Bose-Einstein condensate loaded into a one-dimensional optical superlattice. Our control strategy combines Bloch oscillations originating from accelerating the lattice and from…

Quantum Physics · Physics 2017-01-11 Brendan Reid , Maria Moreno-Cardoner , Jacob Sherson , Gabriele De Chiara

We study the effect of the transverse degrees of freedom on the velocity of sound in a Bose-Einstein condensate immersed in a one-dimensional optical lattice and radially confined by a harmonic trap. We compare the results of full…

Statistical Mechanics · Physics 2009-11-10 Meret Kraemer , Chiara Menotti , Michele Modugno

We report experimental results on the properties of Bose-Einstein condensates in 1D optical lattices. By accelerating the lattice, we observed Bloch oscillations of the condensate in the lowest band, as well as Landau-Zener (L-Z) tunneling…

Soft Condensed Matter · Physics 2009-11-07 M. Cristiani , O. Morsch , J. H. Müller , D. Ciampini , E. Arimondo

We experimentally and theoretically investigate the lowest-lying axial excitation of an atomic Bose-Einstein condensate in a cylindrical box trap. By tuning the atomic density, we observe how the nature of the mode changes from a…

We propose and experimentally explore a method for realizing frustrated lattice models using a Bose-Einstein condensate held in an optical square lattice. A small lattice distortion opens up an energy gap such the lowest band splits into…

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 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

The realization of artificial gauge fields and spin-orbit coupling for ultra-cold quantum gases promises new insight into paradigm solid state systems. Here we experimentally probe the dispersion relation of a spin-orbit coupled…

Quantum Gases · Physics 2015-06-19 C. Hamner , Yongping Zhang , M. A. Khamehchi , Matthew J. Davis , P. Engels

We investigate the stability properties of breather soliton trains in a three-dimensional Bose-Einstein Condensate with Feshbach Resonance Management of the scattering length. This is done so as to generate both attractive and repulsive…

Other Condensed Matter · Physics 2007-05-23 M. Matuszewski , E. Infeld , G. Rowlands , M. Trippenbach

Motivated by recent experiments on magnetically frustrated heavy fermion metals, we theoretically study the phase diagram of the Kondo lattice model with a nonmagnetic valence bond solid ground state on a ladder. A similar physical setting…

Strongly Correlated Electrons · Physics 2020-08-25 Pavel A. Volkov , Snir Gazit , J. H. Pixley

Bose-Einstein condensates of rubidium atoms are stored in a two-dimensional periodic dipole force potential, formed by a pair of standing wave laser fields. The resulting potential consists of a lattice of tightly confining tubes, each…

Soft Condensed Matter · Physics 2009-11-07 Markus Greiner , Immanuel Bloch , Olaf Mandel , Theodor W. Haensch , Tilman Esslinger