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Phase transitions between different states of matter can profoundly modify the order in physical systems, with the emergence of ferromagnetic or topological order constituting important examples. Correlations allow to quantify the degree of…

Quantum Gases · Physics 2017-08-22 Tobias Damm , David Dung , Frank Vewinger , Martin Weitz , Julian Schmitt

We study two-dimensional quantum turbulence in miscible binary Bose-Einstein condensates in either a harmonic trap or a steep-wall trap through the numerical simulations of the Gross-Pitaevskii equations. The turbulence is generated through…

We present an elementary model of the collapses and revivals in the visibility of the interference between two atomic Bose-Einstein condensates. We obtain different predictions of the revival times whether we conserve or break atom number…

Statistical Mechanics · Physics 2008-02-03 T. Wong , M. J. Collett , S. M. Tan , D. F. Walls , E. M. Wright

We study the non-degenerate parametric amplifier for matter waves, implemented by colliding two Bose-Einstein condensates. The coherence of the amplified waves is shown by observing high contrast interference with a reference wave and by…

Soft Condensed Matter · Physics 2009-11-07 J. M. Vogels , J. K. Chin , W. Ketterle

Time-reparametrization invariance in general relativistic space-time does not allow us to single out a time in quantum mechanics in a mechanical way of measurement. Motivated by this problem, we examine this gauge invariance in the ground…

Quantum Physics · Physics 2021-09-24 Eiji Konishi

We demonstrate that the nonlinear mean-field shift in a multi-component Bose-Einstein condensate may be eliminated by controlling the two-body interaction coefficients. This modification is achieved by, e.g., suitably engineering the…

Condensed Matter · Physics 2009-10-31 E. V. Goldstein , M. G. Moore , H. Pu , P. Meystre

We analyze the decay of ultracold atoms from an optical lattice with loss form a single lattice site. If the initial state is dynamically stable a suitable amount of dissipation can stabilize a Bose-Einstein condensate, such that it remains…

Quantum Gases · Physics 2013-07-08 Georgios Kordas , Sandro Wimberger , Dirk Witthaut

We examine an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. With use of a variational method we identify the three possible phases of the system (multiple quantization, single…

Condensed Matter · Physics 2009-11-10 A. D. Jackson , G. M. Kavoulakis , E. Lundh

We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is…

Condensed Matter · Physics 2009-10-30 M. J. Steel , M. J. Collett

We investigate the quantum interference between two Bose-Einstein condensates formed in small atomic samples composed of a few thousand atoms both by imposing Bose broken gauge symmetry from the outset and also using an explicit model of…

Condensed Matter · Physics 2009-10-28 E. M. Wright , T. Wong , M. J. Collett , S. M. Tan , D. F. Walls

Atom interferometers provide a powerful tool for measuring physical constants and testifying fundamental physics with unprecedented precision. Conventional atom interferometry focuses on the phase difference between two paths and utilizes…

Quantum Gases · Physics 2024-06-25 Peng Peng , Dekai Mao , Yi Liang , Guoling Yin , Hongmian Shui , Bo Song , Xiaoji Zhou

We describe a novel atom trap for Bose-Einstein condensates of 87Rb to be used in atom interferometry experiments. The trap is based on a time-orbiting potential waveguide. It supports the atoms against gravity while providing weak…

Other Condensed Matter · Physics 2009-11-11 J. M. Reeves , O. Garcia , B. Deissler , K. L. Baranowski , K. J. Hughes , C. A. Sackett

A quantum phase transition between the symmetric (polar) phase and the phase with broken symmetry can be induced in a ferromagnetic spin-1 Bose-Einstein condensate in space (rather than in time). We consider such a phase transition and show…

Statistical Mechanics · Physics 2015-05-13 Bogdan Damski , Wojciech H. Zurek

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 a detailed numerical study of the dynamics of a disordered one-dimensional Bose-Einstein condensates in position and momentum space. We particularly focus on the region where non-linearity and disorder simultaneously effect the…

Mesoscale and Nanoscale Physics · Physics 2011-01-18 Chaitanya Joshi , Sankalpa Ghosh

We address the dynamics induced by collective atomic recoil in a Bose-Einstein condensate in presence of radiation losses and atomic decoherence. In particular, we focus on the linear regime of the lasing mechanism, and analyze the effects…

Quantum Physics · Physics 2009-11-10 Mary M. Cola , Matteo G. A. Paris , Nicola Piovella

Bose-Einstein condensates of ultracold atoms serve as low-entropy sources for a multitude of quantum-science applications, ranging from quantum simulation and quantum many-body physics to proof-of-principle experiments in quantum metrology…

Atom interferometers covering macroscopic domains of space-time are a spectacular manifestation of the wave nature of matter. Due to their unique coherence properties, Bose-Einstein condensates are ideal sources for an atom interferometer…

We propose a scheme to reconstruct the state of a two-mode Bose-Einstein condensate, with a given total number of atoms, using an atom interferometer that requires beam splitter, phase shift and non-ideal atom counting operations. The…

Quantum Physics · Physics 2009-10-30 Eric L. Bolda , Sze M. Tan , Dan F. Walls

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis