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We measure the axial momentum distribution of Bose-Einstein condensates with an aspect ratio of 152 using Bragg spectroscopy. We observe the Lorentzian momentum distribution characteristic of one-dimensional phase fluctuations. The…

Soft Condensed Matter · Physics 2009-11-10 S. Richard , F. Gerbier , J. H. Thywissen , M. Hugbart , P. Bouyer , A. Aspect

We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|\theta_0,\phi_0\rangle$. Analytical expression of the phase-diffusion time is presented for…

Quantum Gases · Physics 2015-05-20 G. R. Jin , B. B. Wang , Y. W. Lu

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

Statistical Mechanics · Physics 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

We present a quantum theory of low-lying excitations in a trapped Bose condensate with finite particle numbers. We find that even at zero temperature condensate number fluctuations and/or fluctuations of the excitation frequency due to…

Condensed Matter · Physics 2008-02-03 R. Graham , D. F. Walls , M. J. Collett , M. Fliesser , E. M. Wright

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

Here we report on the experimental investigation of thermally induced fluctuations of the relative phase between two Bose-Einstein condensates which are coupled via tunneling. The experimental control over the coupling strength and the…

Other Condensed Matter · Physics 2009-11-11 Rudolf Gati , Boerge Hemmerling , Jonas Foelling , Michael Albiez , Markus K. Oberthaler

We study the growth of an elongated phase-fluctuating condensate from a non-equilibrium thermal cloud obtained by shock-cooling. We compare the growth of the condensate with numerical simulations, revealing a time delay and a reduction in…

Other Condensed Matter · Physics 2016-08-16 Mathilde Hugbart , Jocelyn A. Retter , Andres Varòn , Philippe Bouyer , Alain Aspect , Matthew J. Davis

Bose-Einstein condensation happens as a gas of bosons is cooled below its transition temperature, and the ground state becomes macroscopically occupied. The phase transition occurs in the thermodynamic limit of many particles. However,…

Quantum Gases · Physics 2023-03-24 Fredrik Brange , Tuomas Pyhäranta , Eppu Heinonen , Kay Brandner , Christian Flindt

This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the system is governed by the canonical ensemble. As a result of the…

Probability · Mathematics 2014-03-05 Sourav Chatterjee , Persi Diaconis

We show that a Bose-Einstein condensate emits atoms, if either the condensate wave function, or the scattering length of the atoms depends strongly on time. Moreover, the emission process is coherent and atoms can oscillate back and forth…

Condensed Matter · Physics 2007-05-23 R. A. Duine , H. T. C. Stoof

Quantum systems are typically characterized by the inherent fluctuation of their physical observables. Despite this fundamental importance, the investigation of the fluctuations in interacting quantum systems at finite temperature continues…

We investigate Bose-Einstein condensation for interacting bosons at zero and nonzero temperature. Functional renormalization provides us with a consistent method to compute the effect of fluctuations beyond the Bogoliubov approximation. For…

Superconductivity · Physics 2009-01-28 S. Floerchinger , C. Wetterich

We measure the intensity correlation function of two interfering spatially displaced copies of a phase fluctuating Bose-Einstein Condensate (BEC). It is shown that this corresponds to a measurement of the phase correlation properties of the…

Soft Condensed Matter · Physics 2009-11-10 D. Hellweg , L. Cacciapuoti , M. Kottke , T. Schulte , K. Sengstock , W. Ertmer , J. J. Arlt

We analyze coherence effects during the splitting of a quasi one-dimensional condensate into two spatially separated ones and their subsequent merging into a single condensate. Our analysis takes into account finite-temperature effects,…

Other Condensed Matter · Physics 2007-05-23 A. Mebrahtu , A. Sanpera , M. Lewenstein

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both different thermodynamic phases and few-particle correlations are…

Astrophysics of Galaxies · Physics 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

We study the dynamics of the relative phase following the connection of two independently formed Bose-Einstein condensates. Dissipation is assumed to be due to the creation of quasiparticles induced by a fluctuating condensate particle…

Condensed Matter · Physics 2016-08-31 I. Zapata , F. Sols , A. J. Leggett

We develop a method for investigating nonequilibrium dynamics of an ultracold system that is initially at thermal equilibrium. Our procedure is based on the classical fields approximation with appropriately prepared initial state. As an…

Quantum Gases · Physics 2015-05-20 Emilia Witkowska , Tomasz Świsłocki , Michał Matuszewski

By extending Einstein's separation of wave and particle parts of the second order thermal fluctuation to encompass "generalized fluctuations" in any Bose field, P. E. Gordon has proposed alternative definitions for nth order coherence and…

Quantum Physics · Physics 2007-05-23 N. M. Chase

A Langevin equation for the complex amplitude of a single-mode Bose-Einstein condensate is derived. The equation is first formulated phenomenologically, defining three transport parameters. It is then also derived microscopically.…

Soft Condensed Matter · Physics 2009-10-31 Robert Graham

Quantum fluctuations in an ultrafast rotating Bose gas at zero temperature are investigated. We calculate the condensate density perturbatively to show that no condensate is present in the thermodynamic limit. The excitation from Gaussian…

Quantum Gases · Physics 2013-05-29 Qiong Li , Bo Feng , Dingping Li