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In a two-mode approximation, Bose-Einstein condensates (BEC) in a double-well potential can be described by a many particle Hamiltonian of Bose-Hubbard type. We focus on such a BEC whose interatomic interaction strength is modulated…

Quantum Physics · Physics 2011-12-20 M P Strzys , E M Graefe , H J Korsch

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

Coherent wave states such as Bose-Einstein condensates (BECs), which spontaneously form in an overpopulated magnon gas even at room temperature, have considerable potential for wave-based computing and information processing at microwave…

We study the tunneling properties of a cigar-shaped Bose-Einstein condensate by using an effective 1D nonpolynomial nonlinear Schr\"odinger equation (NPSE). First we investigate a mechanism to generate periodic pulses of coherent matter by…

Statistical Mechanics · Physics 2009-11-07 L. Salasnich , A. Parola , L. Reatto

Inspired by the increasing possibility of experimental control in ultracold atomic physics, we introduce a new Lax operator and use it to construct and solve models with two wells and two on-well states together with its generalization for…

Quantum Physics · Physics 2014-12-30 G Santos , A Foerster , I Roditi

The low-energy-level macroscopic wave functions of the Bose-Einstein condensate(BEC) trapped in a symmetric double-well and a periodic potential are obtained by solving the Gross-Pitaevskii equation numerically. The ground state tunnel…

Other Condensed Matter · Physics 2009-11-11 Yajiang Hao , J. -Q. Liang , Yunbo Zhang

A Mach-Zender interferometer with a gaussian number-difference squeezed input state can exhibit sub-shot-noise phase resolution over a large phase-interval. We obtain the optimal level of squeezing for a given phase-interval…

Quantum Physics · Physics 2009-11-13 Y. P. Huang , M. G. Moore

The review presents the methods of generation of nonlinear coherent excitations in strongly nonequilibrium Bose-condensed systems of trapped atoms and their properties. Non-ground-state Bose-Einstein condensates are represented by nonlinear…

Quantum Gases · Physics 2023-11-02 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

An apparatus for producing atomic-gas Bose-Einstein condensates (BECs) of 87-Rb atoms is described. The apparatus produces 87-Rb BECs in a dual-chamber vacuum system that incorporates magnetic transport of trapped atoms from the…

Other Condensed Matter · Physics 2007-05-23 David R. Scherer

We propose a scheme for parametric amplification and phase conjugation of an atomic Bose-Einstein condensate (BEC) via stimulated dissociation of a BEC of molecular dimers consisting of bosonic atoms. This can potentially be realized via…

Statistical Mechanics · Physics 2009-11-10 Karen V. Kheruntsyan

When the rotating frequency of a non-interacting Bose-Einstein condensate (BEC) confined in a weak anisotropic harmonic potential is suddenly quenched to its trapping frequency, the condensate evolves from its ground state to a single-mode…

Quantum Gases · Physics 2025-08-07 Li Chen , Fei Zhu , Zheng Tang , Liang Zeng , Jae Joon Lee , Han Pu

We study the interaction-modulated tunneling dynamics of a Bose-Einstein condensate (BEC) in a deep double-well potential, where the tunneling between the two wells is modulated by another BEC trapped in a harmonic potential symmetrically…

Quantum Gases · Physics 2017-12-04 Mudassar Maraj , Jing-Bo Wang , Jian-Song Pan , Wei Yi

Squeezed states, a special kind of entangled states, are known as a useful resource for quantum metrology. In interferometric sensors they allow to overcome the "classical" projection noise limit stemming from the independent nature of the…

Quantum Gases · Physics 2013-02-14 Christian Gross

Motivated by recent experiment on Bloch Oscillation of Bose-Einstein condensates (BEC) in accelerated optical lattices, we consider the Josephson dynamics of a BEC in an accelerated double well potential. We show that acceleration…

Statistical Mechanics · Physics 2007-05-23 Aranya B Bhattacherjee

We consider a two-component Bose-Einstein condensate in a double-well potential, where the atoms are magnetically coupled to a single-mode of the microwave field inside a superconducting resonator. We find that the system has the different…

Quantum Physics · Physics 2015-05-28 H. T. Ng , Shih-I Chu

Extensions of Berry's phase and the quantum Hall effect have led to the discovery of new states of matter with topological properties. Traditionally, this has been achieved using gauge fields created by magnetic fields or spin orbit…

Quantum Gases · Physics 2015-10-28 Colin J. Kennedy , William Cody Burton , Woo Chang Chung , Wolfgang Ketterle

We propose a novel and robust technique to realize a beam splitter for trapped Bose-Einstein condensates (BECs). The scheme relies on the possibility of producing different potentials simultaneously for two internal atomic states. The atoms…

Quantum Gases · Physics 2015-09-02 V. Guarrera , R. Szmuk , J. Reichel , P. Rosenbusch

We investigate parametric excitation and pattern formation in a harmonically trapped two-component Bose-Einstein condensate. We assume the condensate to be in the miscible phase, but near the miscible-immiscible phase transition, where…

Quantum Physics · Physics 2025-12-16 Meiling Wang , Juan Wang , Yan Li , Franco Dalfovo , Chunlei Qu

Dynamical evolution of quantum mechanical squeezing and entanglement in a two-mode Bose-Einstein condensate (TBEC) with an adiabatic, time-varying Raman coupling is studied by finding analytical expressions for these quantities. In…

Other Condensed Matter · Physics 2009-11-11 S. Choi , N. P. Bigelow

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

Mathematical Physics · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer