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The dynamics of quantized vortices in two-dimensional two-component miscible Bose-Einstein condensates (BECs) trapped by a box potential has been numerically studied using the Gross{ Pitaevskii model. We have discovered a novel phenomenon…

Quantum Gases · Physics 2019-03-27 Junsik Han , Makoto Tsubota

Phase engineering techniques are used to control the dynamics of long-bosonic-Josephson-junction arrays built by linearly coupling Bose-Einstein condensates. Just at the middle point of the underlying discrete energy band of the system,…

Quantum Gases · Physics 2020-07-01 Dengling Zhang , Haibo Qiu , Antonio Muñoz Mateo

We study condensation transitions in the steady state of a zero-range process with two species of particles. The steady state is exactly soluble -- it is given by a factorised form provided the dynamics satisfy certain constraints -- and we…

Statistical Mechanics · Physics 2009-11-10 T. Hanney , M. R. Evans

Deep optical lattices are considered, in each site of which there are many Bose-condensed atoms. By the resonant modulation of trapping potentials it is possible to transfer a macroscopic portion of atoms to the collective nonlinear states…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

We investigate two solvable models for Bose-Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of…

Quantum Gases · Physics 2012-04-27 D. Rubeni , A. Foerster , E. Mattei , I. Roditi

We study the decay dynamics of an interacting Bose-Einstein condensate in the presence of a metastable trapping potential from which the condensate can escape via tunneling through finite barriers. The time-dependent decay process is…

Other Condensed Matter · Physics 2015-06-25 Peter Schlagheck , Sandro Wimberger

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

We consider the interference of two overlapping ideal Bose-Einstein condensates. The usual description of this phenomenon involves the introduction of a so-called condensate wave functions having a definite phase. We investigate the origin…

Other Condensed Matter · Physics 2016-08-16 W. J. Mullin , R. Krotkov , F. Laloë

We study the quantum dynamics of a BEC condensate trapped in a double-well potential with a rising interwell barrier. We analytically find the characteristic time scales of the splitting process and compare our results with numerical…

Statistical Mechanics · Physics 2009-11-10 L. Pezze , A. Smerzi , G. P. Berman , A. R. Bishop , L. A. Collins

We study the phase diagram of a mixture of Bose-Einstein condensate and a two-component Fermi gas. In particular, we identify the regime where the homogeneous system becomes unstable against phase separation. We show that, under proper…

Statistical Mechanics · Physics 2010-11-25 S. G. Bhongale , Han Pu

We study the merging of two independent Bose-Einstein condensates with arbitrary initial phase difference, in the framework of a one-dimensional time-dependent Gross-Pitaevskii model. The role of the initial phase difference in the process…

Quantum Gases · Physics 2010-03-03 L. F. Buchmann , G. M. Nikolopoulos , P. Lambropoulos

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

In the quantum rotor model with random exchange interactions having a non-zero mean, three phases, a 1) phase (Bose) glass, 2) superfluid, and 3) Mott insulator, meet at a bi-critical point. We demonstrate that proximity to the bi-critical…

Strongly Correlated Electrons · Physics 2009-11-07 Denis Dalidovich , Philip Phillips

Important properties of complex quantum many-body systems and their phase diagrams can often already be inferred from the impurity limit. The Bose polaron problem describing an impurity atom immersed in a Bose-Einstein condensate is a…

Quantum Gases · Physics 2024-03-06 Arthur Christianen , J. Ignacio Cirac , Richard Schmidt

In this paper, decoherence in a system consisting of two Bose-Einstein condensates is investigated analytically. It is indicated that decoherence can be controlled through manipulating the interaction between the system and environment. The…

Soft Condensed Matter · Physics 2016-08-31 Le-Man Kuang , Zhao-Yang Tong , Zhong-Wen Ouyang , Hao-Sheng Zeng

An effective action is obtained of a Bose gas in the bulk separated into two regions by a strong external potential depending on the single coordinate. The main attention is focused on the relaxation of the difference between phases of the…

Statistical Mechanics · Physics 2007-05-23 V. S. Babichenko

A trapped-atom interferometer was demonstrated using gaseous Bose-Einstein condensates coherently split by deforming an optical single-well potential into a double-well potential. The relative phase between the two condensates was…

Soft Condensed Matter · Physics 2009-11-10 Y. Shin , M. Saba , T. A. Pasquini , W. Ketterle , D. E. Pritchard , A. E. Leanhardt

We demonstrate a spatially resolved autocorrelation measurement with a Bose-Einstein condensate (BEC) and measure the evolution of the spatial profile of its quantum mechanical phase. Upon release of the BEC from the magnetic trap, its…

Motivated by recent experiments on Faraday waves in Bose Einstein condensates (BEC) we investigate the dynamics of two component cigar shaped BEC subject to periodic modulation of the strength of the transverse confinement. It is shown that…

Other Condensed Matter · Physics 2009-12-02 Aranya B. Bhattacherjee

We examine the phase diagram of a Bose-Einstein condensate of atoms, interacting with an attractive pseudopotential, in a quadratic-plus-quartic potential trap rotating at a given rate. Investigating the behavior of the gas as a function of…

Statistical Mechanics · Physics 2009-11-10 G. M. Kavoulakis , A. D. Jackson , Gordon Baym