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We investigate theoretically the condensate state and collective excitations of a two-component Bose gas in two-dimensional harmonic traps subject to isotropic Rashba spin-orbit coupling. In the weakly interacting regime when the…

Quantum Gases · Physics 2015-03-19 B. Ramachandhran , Bogdan Opanchuk , Xia-Ji Liu , Han Pu , Peter D. Drummond , Hui Hu

Motivated by recent experiments, we model the dynamics of a condensed Bose gas in a rotating anisotropic trap, where the equations of motion are analogous to those of charged particles in a magnetic field. As the rotation rate is ramped…

Quantum Gases · Physics 2022-02-09 Vaibhav Sharma , Erich J Mueller

We investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…

In this work we analyze a non--interacting one dimensional polymer Bose--Einstein condensate in an harmonic trap within the semiclassical approximation. We use an effective Hamiltonian coming from the polymer quantization that arises in…

General Relativity and Quantum Cosmology · Physics 2015-06-12 E. Castellanos , G. Chacon-Acosta

We consider a dilute Bose gas confined by a harmonic potential. We define an appropriate thermodynamic limit and analyze the properties of the phases and phase transition in this limit. Critical properties in the presence of the potential…

Condensed Matter · Physics 2009-10-28 Kedar Damle , T. Senthil , Satya N. Majumdar , Subir Sachdev

In this work we use standard Hamiltonian-system techniques in order to study the dynamics of three vortices with alternating charges in a confined Bose-Einstein condensate. In addition to being motivated by recent experiments, this system…

Chaotic Dynamics · Physics 2015-06-17 Vassilis Koukouloyannis , George Voyatzis , Panayotis G. Kevrekidis

We study the dynamics of a one-dimensional classical particle in a space and time dependent potential with randomly chosen parameters. The focus of this work is a quasi-periodic potential, which only includes a finite number of Fourier…

Statistical Mechanics · Physics 2015-06-19 Yaniv Tenenbaum Katan , Tal Kachman , Shmuel Fishman , Avy Soffer

We perform finite-temperature dynamical simulations of the arrest of a rotating Bose-Einstein condensate by a fixed trap anisotropy, using a Hamiltonian classical-field method. We consider a quasi-two-dimensional condensate containing a…

Quantum Gases · Physics 2010-01-16 T. M. Wright , A. S. Bradley , R. J. Ballagh

The dynamics of interacting quantum vortices in a quasi-two-dimensional spatially inhomogeneous Bose-Einstein condensate, whose equilibrium density vanishes at two points of the plane with a possible presence of an immobile vortex with a…

Quantum Gases · Physics 2017-06-01 V. P. Ruban

We investigate quantum dynamics for an ion confined within an oscillating quadrupole field, starting from two well known and elegant approaches. It is established that the Hamilton equations of motion, in both Schr\"{o}dinger and Heisenberg…

Quantum Physics · Physics 2024-12-17 Bogdan M. Mihalcea

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

We investigate the dynamics of kicked pseudo-spin-1/2 Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) in a tightly confined toroidal trap. The system exhibits different dynamical behaviors depending on the competition among…

Quantum Gases · Physics 2021-07-06 Qingbo Wang , Wenjing Zhao , Linghua Wen

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

Quantum Gases · Physics 2023-07-19 Mohd. Imran , M. A. H. Ahsan

We experimentally investigate the atom-optical delta-kicked harmonic oscillator for the case of nonlinearity due to collisional interactions present in a Bose-Einstein condensate. A Bose condensate of rubidium atoms tightly confined in a…

Soft Condensed Matter · Physics 2009-11-10 G. J. Duffy , A. S. Mellish , K. J. Challis , A. C. Wilson

A harmonically trapped Bose-Einstein condensate (BEC) leads to topologically trivial compact states. Because of the long-range nonlocal dipole-dipole interaction, a strongly dipolar BEC revealed many novel phenomena. Here we show that in a…

Quantum Gases · Physics 2025-07-28 S. K. Adhikari

We consider a two-component Bose-Einstein condensate in a quasi-one-dimensional harmonic trap, where the immiscible components are pressed against each other by an external magnetic force. The zero-temperature non-stationary…

Quantum Gases · Physics 2015-06-03 D. Kobyakov , A. Bezett , E. Lundh , M. Marklund , V. Bychkov

We analytically examine the dynamics of quasi-particle modes occuring in a Bose-Einstein condensate which is subject to a weak acceleration. It is shown that the momentum of a quasi-particle mode is squeezed rather than accelerated.

Statistical Mechanics · Physics 2009-10-31 Karl-Peter Marzlin , Weiping Zhang

Using the axially-symmetric time-dependent Gross-Pitaevskii equation we study the phase coherence in a repulsive Bose-Einstein condensate (BEC) trapped by a harmonic and an one-dimensional optical lattice potential to describe the…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

The essence of the Thomas-Fermi model is the assumption that the local behavior of a many-body system can be approximated by that of a homogeneous system. In this paper, we present the natural extension of the static Thomas-Fermi treatment…

Condensed Matter · Physics 2009-09-25 Eddy Timmermans , Paolo Tommasini

The classical and quantum dynamics of the noncanonically coupled oscillators is considered. It is shown that though the classical dynamics is well--defined for both harmonic and anharmonic oscillators, the quantum one is well--defined in…

solv-int · Physics 2008-02-03 Denis V. Juriev
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