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We examine the dynamics of a Bose-Einstein condensate in a symmetric double-well potential for a broad range of non-linear couplings. We demonstrate the existence of a region, beyond those of Josephson oscillations and self-trapping, which…

Quantum Gases · Physics 2011-01-11 B. Juliá-Díaz , J. Martorell , M. Melé-Messeguer , A. Polls

We introduce higher dimensions into the problem of Bose-Einstein condensates in a double-well potential, taking into account orbital angular momentum. We completely characterize the eigenstates of this system, delineating new regimes via…

Quantum Gases · Physics 2013-12-10 M. A. Garcia-March , D. R. Dounas-Frazer , Lincoln D. Carr

Understanding the effect of interactions in the phase evolution of expanding atomic Bose Einstein condensates is fundamental to describe the basic phenomenon of matter wave interference. Many theoretical and experimental works tackled this…

Quantum Gases · Physics 2024-06-11 A. Burchianti , C. D'Errico , L. Marconi , F. Minardi , C. Fort , M. Modugno

We consider the interference of two overlapping ideal Bose-Einstein condensates. The usual description of this phenomenon involves the introduction of a so-called condensate wave functions having a definite phase. We investigate the origin…

Other Condensed Matter · Physics 2016-08-16 W. J. Mullin , R. Krotkov , F. Laloë

A method is presented that is able to predict the probability of outcomes of snapshot measurements, such as the images of the instantaneous particle density distribution in a quantum many-body system. It is shown that a gauge-like…

Quantum Physics · Physics 2008-09-05 A. L. Shelankov , J. Rammer

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the…

Other Condensed Matter · Physics 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

A phase space theory approach for treating dynamical behaviour of Bose-Einstein condensates applicable to situations such as interferometry with BEC in time-dependent double well potentials is presented. Time-dependent mode functions are…

Quantum Gases · Physics 2015-06-24 B. J. Dalton

We measured the relative phase of two Bose-Einstein condensates confined in an radio frequency induced double well potential on an atom chip. We observed phase coherence between the separated condensates for times up to 200 ms after…

Other Condensed Matter · Physics 2007-05-23 G. -B. Jo , Y. Shin , S. Will , T. A. Pasquini , M. Saba , W. Ketterle , D. E. Pritchard , M. Vengalattore , M. Prentiss

We study some effects arising from periodic modulation of the asymmetry and the barrier height of a two-well potential containing a Bose-Einstein condensate. At certain modulation frequencies the system exhibits resonances, which may lead…

Quantum Physics · Physics 2009-11-10 H. L. Haroutyunyan , G. Nienhuis

An essentially-exact approach to compute the wavefunction in the time-dependent many-boson Schr\"odinger equation is derived and employed to study accurately the process of splitting a trapped condensate when ramping-up a barrier such that…

Other Condensed Matter · Physics 2007-07-31 Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

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

Elongated Bose-Einstein condensates (BECs) exhibit strong spatial phase fluctuations even well below the BEC transition temperature. We demonstrate that atom interferometers using such condensates are robust against phase fluctuations, i.e.…

Other Condensed Matter · Physics 2007-12-16 G. -B. Jo , J. -H. Choi , C. A. Christensen , Y. -R. Lee , T. A. Pasquini , W. Ketterle , D. E. Pritchard

The superfluid -- Mott insulator phase transition in a Bose-Einstein condensate of neutral atoms with doubly degenerate internal ground states in an optical lattice is theoretically investigated. The optical lattice is created by two…

Condensed Matter · Physics 2009-11-10 K. V. Krutitsky , R. Graham

The exact macroscopic wave functions of two-species Bose-Einstein condensates in an optical lattice beyond the tight-binding approximation are studied by solving the coupled nonlinear Schrodinger equations. The phase diagram for superfluid…

Soft Condensed Matter · Physics 2009-11-11 G. -P. Zheng , J. -Q. Liang , W. M. Liu

Quantum collapses and revivals are fascinating manifestations of interference. Of particular interest in recent years are macroscopic quantum interference effects in Bose-Einstein condensates. In this letter such effects will be studied for…

Quantum Physics · Physics 2015-01-28 Hagar Veksler , Shmuel Fishman

We have observed the interferometric suspension of a free-falling Bose-Einstein condensate periodically submitted to multiple-order diffraction by a vertical 1D standing wave. The various diffracted matter waves recombine coherently,…

We have observed high-contrast matter wave interference between 30 Bose-Einstein condensates with uncorrelated phases. Interference patterns were observed after independent condensates were released from a one-dimensional optical lattice…

Quantum Physics · Physics 2007-05-23 Zoran Hadzibabic , Sabine Stock , Baptiste Battelier , Vincent Bretin , Jean Dalibard

We investigate the expansion dynamics of a Bose-Einstein condensate that consists of two components and is initially confined in a quasi-one-dimensional trap. We classify the possible initial states of the two-component condensate by taking…

Quantum Gases · Physics 2017-08-23 S. K. Ivanov , A. M. Kamchatnov

This paper investigates quantum diffusion of matter waves in two-dimensional random potentials, focussing on expanding Bose-Einstein condensates in spatially correlated optical speckle potentials. Special care is taken to describe the…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Miniatura , R. C. Kuhn , D. Delande , C. A. Mueller