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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

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

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 study theoretically the interference patterns produced by the overlap of an array of Bose-Einstein condensates that have no phase coherence among them. We show that density-density correlations at different quasimomenta, which play an…

Soft Condensed Matter · Physics 2007-07-05 S. Ashhab

We observe interference in the light scattered from trapped $^{40}$Ca$^+$ ion crystals. By varying the intensity of the excitation laser, we study the influence of elastic and inelastic scattering on the visibility of the fringe pattern and…

Quantum Physics · Physics 2016-05-11 Sebastian Wolf , Julian Wechs , Joachim von Zanthier , Ferdinand Schmidt-Kaler

We report on the observation of interference of a series of atom lasers. A comb-like array of coherent atomic beams is generated by outcoupling atoms from distinct Bose-Einstein condensates confined in the independent sites of a mesoscopic…

Other Condensed Matter · Physics 2015-06-25 Giovanni Cennini , Carsten Geckeler , Gunnar Ritt , Martin Weitz

We have studied the interference of degenerate quantum gases in a vertical optical lattice. The coherence of the atoms leads to an interference pattern when the atoms are released from the lattice. This has been shown for a Bose-Einstein…

Atomic Physics · Physics 2009-11-10 G. Modugno , E. de Mirandes , F. Ferlaino , H. Ott , G. Roati , M. Inguscio

A long chain of Bose condensates freely expands and interferes after being released from an optical lattice. The interference fringes are well resolved both in the case of equal phases of the condensates and in the case of fluctuating…

Quantum Gases · Physics 2026-03-24 I. N. Mosaki , A. V. Turlapov

We investigate the effects of interatomic interactions and expansion on the distortion of interference fringes of a pair of initially well-separated, but coherent, condensate clouds trapped in a harmonic trap. The distortion of interference…

Quantum Gases · Physics 2014-01-03 Bo Xiong , Tao Yang , Keith A. Benedict

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

In a recent experiment by Eichmann et al., polarization-sensitive measurements of the fluorescence from two four-level ions driven by a linearly polarized laser were made. Depending on the polarization chosen, different degrees of…

Atomic Physics · Physics 2009-10-30 T. Wong , S. M. Tan , M. J. Collett , D. F. Walls

We analyze theoretically the experiment reported in [F. Gerbier et al, cond-mat/0503452], where the interference pattern produced by an expanding atomic cloud in the Mott insulator regime was observed. This interference pattern, indicative…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Artur Widera , Simon Foelling , Olaf Mandel , Tatjana Gericke , Immanuel Bloch

Interference experiments with independent condensates provide a powerful tool for analyzing correlation functions. Scaling of the average fringe contrast with the system size is determined by the two-point correlation function and can be…

Other Condensed Matter · Physics 2009-11-13 Vladimir Gritsev , Ehud Altman , Anatoli Polkovnikov , Eugene Demler

We study the decoherence of a system of $N$ non-interacting heavy particles (atoms) due to coherent scattering with a background gas. We introduce a framework for computing the induced phase shift and loss of contrast for arbitrary…

Quantum Physics · Physics 2024-09-11 Leonardo Badurina , Clara Murgui , Ryan Plestid

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 demonstrate theoretically and experimentally how the diffraction and interferometric resolution limit for single-mode coherent cw laser light can be overcome by multi-photon interference. By use of a Mach-Zehnder interferometer, operated…

Quantum Physics · Physics 2024-04-02 Sangbae Kim , Joachim Stohr , Fabian Rotermund , Byoung S. Ham

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

These lecture notes discuss two effects which contribute to the reduction of the interference fringe contrast in matter interferometers. The first effect is the shot noise arising from a finite number of atoms used in experiments. Focusing…

Other Condensed Matter · Physics 2007-05-23 Adilet Imambekov , Vladimir Gritsev , Eugene Demler

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

Using the mean-field time-dependent Gross-Pitaevskii equation we study the formation of a repulsive Bose-Einstein condensate on a combined optical and harmonic traps in two and three dimensions and subsequent generation of the interference…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari , Paulsamy Muruganandam
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