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The low energy properties of a trapped bose gas split by a potential barrier are determined over the whole range of barrier heights. We derive a self-consistent two-mode model which reduces, for large $N$, to a Bogoliubov model for low…

Quantum Gases · Physics 2010-10-26 Y. Japha , Y. B. Band

The quantum self-trapping phenomenon of a Bose-Einstein condensate (BEC) represents a remarkable nonlinear effect of wide interest. By considering a purely dipolar BEC in a double-well potential, we study how the dipole orientation affects…

Other Condensed Matter · Physics 2009-11-13 Bo Xiong , Jiangbin Gong , Han Pu , Weizhu Bao , Baowen Li

The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schr\"odinger equation…

Quantum Gases · Physics 2019-05-21 Sudip Kumar Haldar , Ofir E Alon

In this work, we are motivated by a recent variant of the nonlinear Schrodinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of…

Pattern Formation and Solitons · Physics 2026-04-01 Sun Lee , Panayotis G. Kevrekidis , Wenrui Hao

In the present paper it is shown that the interaction between oscillations of a double-well trappedcondensate and excited Josephson states corresponding to a large enough initial disbalance of the particle number generates their bound…

Soft Condensed Matter · Physics 2009-11-07 L. A. Manakova

We propose a new scheme for observing Josephson oscillations and macroscopic quantum self-trapping phenomena in a toroidally confined Bose-Einstein condensate: a dipolar self-induced Josephson junction. Polarizing the atoms perpendicularly…

Quantum Gases · Physics 2015-05-20 M. Abad , M. Guilleumas , R. Mayol , M. Pi , D. M. Jezek

We propose a method of diagnostic of a degenerate ground state of Bose condensate in a double well potential. The method is based on the study of the one-particle coherent tunneling under switching the time-dependent weak Josephson coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. D. Vol

Spatial and momentum correlations are important in the analysis of the quantum states and different phases of trapped ultracold atom systems as a function of the strength of interatomic interactions. Identification and understanding of…

Quantum Gases · Physics 2017-12-08 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

We present a quantum phase space model of Bose-Einstein condensate (BEC) in a double well potential. In a two-mode Fock-state analysis we examine the eigenvectors and eigenvalues and find that the energy correlation diagram indicates a…

Soft Condensed Matter · Physics 2009-11-10 Khan W. Mahmud , Heidi Perry , William P. Reinhardt

We consider a Bose gas with an attractive interaction in a symmetric double well potential. In the Hartree approximation, the ground state solution spontaneously breaks the symmetry of the trapping potential above certain value of the…

Other Condensed Matter · Physics 2009-11-13 P. Ziń , J. Chwedeńczuk , B. Oleś , K. Sacha , M. Trippenbach

In this work we investigate the quantum dynamics of a model for two single-mode Bose--Einstein condensates which are coupled via Josephson tunneling. Using direct numerical diagonalisation of the Hamiltonian, we compute the time evolution…

Quantum Physics · Physics 2009-11-10 A. P. Tonel , J. Links , A. Foerster

We present a series of experiments performed with two ultracold one-dimensional Bose gases (rubidium atoms) in a double well potential. Employing matter-wave interference, we can measure the spatially resolved phase difference between the…

Quantum Gases · Physics 2019-08-02 Thomas Schweigler

Understanding how coherent quantum dynamics give way to correlation-dominated behavior in low-dimensional systems remains a central challenge in quantum many-body physics. Here, we address this problem by investigating the interplay of…

Rotation and quantum tunneling are fundamental concepts in physics, and their interplay in the ultracold atomic systems is of particular interest. In this theoretical work, we explore how tunneling dynamics in a bosonic Josephson junction…

Quantum Gases · Physics 2026-01-21 Rhombik Roy , Ofir E. Alon

We study ground-state properties of interacting two-component boson gases in a one-dimensional harmonic trap by using the exact numerical diagonalization method. Based on numerical solutions of many-body Hamiltonians, we calculate the…

Strongly Correlated Electrons · Physics 2009-02-09 Yajiang Hao , Shu Chen

We study the quenched dynamics of the momentum distribution of a unitary Bose gas under isotropic harmonic confinement within a time-dependent density functional approach based on our recently calculated Monte Carlo (MC) bulk equation of…

Quantum Gases · Physics 2015-11-10 Francesco Ancilotto , Maurizio Rossi , Luca Salasnich , Flavio Toigo

We consider nonlinear boson states with a nontrivial phase structure in the three-site Bose-Hubbard ring, {\em quantum discrete vortices} (or {\em q-vortices}), and study their "melting" under the action of quantum fluctuations. We…

Other Condensed Matter · Physics 2007-05-23 Chaohong Lee , Tristram J. Alexander , Yuri S. Kivshar

The dynamics of bosons in Josephson junctions have drawn much attention where the bosons are initially condensed. When interacting bosons tunnel back and forth along the junction, depletion and eventually fragmentation develop. Here, we…

Quantum Gases · Physics 2025-01-07 Anal Bhowmik , Ofir E. Alon

Quantum coherence and phase transitions are studied in a finite one-dimensional Bose--Hubbard model using exact diagonalization under thermal fluctuations, a Stark potential, and disorder. The condensate fraction, superfluid fraction,…

We study the Josephson-like tunneling in two-component Bose-Einstein condensates coupled with microwave field in respond to various attractive and repulsive atomic interaction under the various aspect ratio of trapping potential and the…

Other Condensed Matter · Physics 2009-11-13 Bo Xiong , X. X. Liu
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