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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

The density of two {\it initially independent} condensates which are allowed to expand and overlap can show interferences as a function of time due to interparticle interaction. Two situations are separately discussed and compared: (1) all…

Other Condensed Matter · Physics 2007-05-23 L. S. Cederbaum , A. I. Streltsov , Y. B. Band , O. E. Alon

Interference of an array of independent Bose-Einstein condensates, whose experiment has been performed recently, is theoretically studied in detail. Even if the number of the atoms in each gas is kept finite and the phases of the gases are…

Quantum Gases · Physics 2011-04-05 Satoshi Ando , Kazuya Yuasa , Mauro Iazzi

It is shown that the density of two {\it initially independent} condensates which are allowed to expand and overlap can show interferences as a function of time due to interparticle interaction. Using many-body theory, explicit expressions…

Other Condensed Matter · Physics 2007-05-23 L. S. Cederbaum , A. I. Streltsov , Y. B. Band , O. E. Alon

We have observed interference between two Bose-Einstein condensates of weakly bound Feshbach molecules of fermionic $^6$Li atoms. Two condensates are prepared in a double-well trap and, after release from this trap, overlap in expansion. We…

Interference is observed when two independent Bose-Einstein condensates expand and overlap. This phenomenon is typical, in the sense that the overwhelming majority of wave functions of the condensates, uniformly sampled out of a suitable…

When a Bose-Einstein condensate is divided into two parts, that are subsequently released and overlap, interference fringes are observed. We show here that this interference is typical, in the sense that most wave functions of the…

Quantum Physics · Physics 2014-07-11 P. Facchi , H. Nakazato , S. Pascazio , F. V. Pepe , K. Yuasa

We show that the visibility in interference experiments with Bose-Einstein condensates is directly related to the condensate fraction. The probability distribution of the contrast over many runs of an interference experiment thus gives the…

Quantum Gases · Physics 2010-11-23 Steffen Patrick Rath , Wilhelm Zwerger

We present a theoretical model to investigate the interference of an array of Bose-Einstein condensates loaded in a one-dimensional spin-dependent optical lattice, which is based on an assumption that for the atoms in the entangled…

Statistical Mechanics · Physics 2007-05-23 Linghua Wen , Min Liu , Hongwei Xiong , Mingsheng Zhan

We analyze the physics of Bose-Einstein condensates confined in 2D quasi-periodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that…

Other Condensed Matter · Physics 2016-08-16 Laurent Sanchez-Palencia , Luis Santos

When two initially independent Bose-condensed gases are allowed to overlap, we investigate the density expectation value of the whole system by using the second quantization method. In the presence of interatomic interaction, based on the…

Other Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu

We consider a problem of interference between two independent condensates, which lack true long range order. We show that their interference pattern contains information about correlation functions within each condensate. As an example we…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov , Ehud Altman , Eugene Demler

We have observed phase defects in quasi-2D Bose-Einstein condensates close to the condensation temperature. Either a single or several equally spaced condensates are produced by selectively evaporating the sites of a 1D optical lattice.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sabine Stock , Zoran Hadzibabic , Baptiste Battelier , Marc Cheneau , Jean Dalibard

In an exciting experiment by MIT's group (Science 275, 637 (1997)), clear interference fringes were observed for two initially independent Bose condensates in dilute gas. Presently, there are two different theories (measurement-induced…

Statistical Mechanics · Physics 2009-11-11 Shujuan Liu , Hongwei Xiong

In response to a recent manuscript [cond-mat/0609685] on the analysis of interference patterns produced by ultracold atoms released from an optical lattice, we point out that in the presence of a Bose-Einstein condensate the interference…

Statistical Mechanics · Physics 2007-05-23 Fabrice Gerbier , Simon Foelling , Artur Widera , Immanuel Bloch

After removing the double-well potential trapping two initially independent Bose condensates, the density expectation value is calculated when both the exchange symmetry of identical bosons and interatomic interaction are considered. The…

Statistical Mechanics · Physics 2009-11-11 Hongwei Xiong , Shujuan Liu , Mingsheng Zhan

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

Every Bose-Einstein condensate is in a highly entangled state, as a consequence of the fact that the particles in a condensate are distributed over space in a coherent way. It is proved that any two regions within a condensate of finite…

Quantum Physics · Physics 2009-11-07 Christoph Simon

We suggest an experiment to investigate the linear superposition of two spatially separated Bose-Einstein condensates. Due to the coherent combination of the two wave functions, the dynamic structure factor, measurable through inelastic…

Condensed Matter · Physics 2009-10-31 L. Pitaevskii , S. Stringari

Interference of atomic Bose-Einstein condensates, observed in free expansion experiments, is a basic characteristic of their quantum nature. The ability to produce synthetic spin-orbit coupling in Bose-Einstein condensates has recently…

Quantum Gases · Physics 2014-09-23 Sh. Mardonov , M. Palmero , M. Modugno , E. Ya. Sherman , J. G. Muga
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