arXiv:cond-mat/0310480

Dynamics of laser-induced lattice formation in Bose-Einstein condensates

Matt Kalinski, I. E. Mazets, Gershon Kurizki, Boris A. Malomed, Karl Vogel, W. P. Schleich

Published Oct 21, 2003• 1 citation

Abstract

We present variational and numerical solutions of the generalized Gross--Pitaevskii equation for an atomic Bose--Einstein condensate with time-dependent, laser-induced dipole-dipole interactions (LIDDI). The formation of a supersolid ground state due to LIDDI in an elongated (cigar-shaped) BEC is investigated. It is found that the supersolid structure emerges if the laser intensity exceeds a critical value, which depends on the linear density of atoms in the BEC.

DOI: 10.48550/arxiv.cond-mat/0310480

Related papers

Density Modulations of Bose-Einstein Condensates via Laser-Induced Interactions

S. Giovanazzi, Duncan H J O’Dell, Gershon Kurizki

We show that the dipole-dipole interatomic forces induced by an off-resonant running laser beam can lead to a self-bound pencil-shaped Bose condensate, even if the laser beam is a plane wave. For an appropriate laser intensity the ground state has a quasi-one-dimensional density modulation-a Bose-Einstein "supersolid."

arXiv:cond-mat/0108046Physical Review LettersMar 15, 2002114 citations

Structure formation during the collapse of a dipolar atomic Bose-Einstein condensate

Nicholas G. Parker, Christopher Ticknor, A. Martin +1 more

We investigate the collapse of a trapped dipolar Bose-Einstein condensate. This is performed by numerical simulations of the Gross-Pitaevskii equation and the novel application of the Thomas-Fermi hydrodynamic equations to collapse. We observe regimes of both global collapse, where the system evolves to a highly elongated or flattened state depending on the sign of the dipolar interaction, and local collapse, which arises due to dynamically unstable phonon modes and leads to a periodic arrangement of density shells, disks, or stripes. In the adiabatic regime, where ground states are followed, collapse can occur globally or locally, while in the nonadiabatic regime, where collapse is initiated suddenly, local collapse commonly occurs. We analyze the dependence on the dipolar interactions and trap geometry, the length and time scales for collapse, and relate our findings to recent experiments.

arXiv:0810.2028Physical Review AJan 21, 200979 citations

Quantum droplets in dipolar quasi-one-dimensional Bose-Einstein condensates in optical lattices

Sk Siddik, Golam Ali Sekh

We consider quantum droplets in dipolar Bose-Einstein condensates embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and isotropic dipole-dipole interaction provides an additional mechanism for self-binding. We analyze the linear stability as well dynamics of quantum droplets. We find an effective potential for the width and show that the optimum width for formation of quantum droplet increases as the dipole-dipole interaction increases. We study dynamics of the stable droplets and see that its width oscillates with time, and the amplitude of oscillation increases with the increase of dipole-dipole interaction. In presence of optical lattices, width of a stable droplet changes quasi-periodically while the location of density profile changes periodically in space. The frequency of oscillation depends sensitively on the lattice parameters. We check dynamical stability of a quantum droplet through numerical simulation.

arXiv:2604.02163Apr 2, 20260 citations

One-dimensional compression of Bose-Einstein condensates by laser-induced dipole-dipole interactions

S. Giovanazzi, Duncan H J O’Dell, Gershon Kurizki

We consider a trapped cigar-shaped atomic Bose-Einstein condensate irradiated by a single far-off resonance laser polarized along the cigar axis. The resulting laser induced dipole-dipole interactions between the atoms significantly change size of the condensate, and can even cause its self-trapping.

arXiv:cond-mat/0108385Journal of Physics B Atomic Molecular and Optical PhysicsNov 23, 200115 citations

Three-dimensional dynamics of vortex-lattice formation in Bose-Einstein condensates

Kenichi Kasamatsu, Masahiko Machida, Narimasa Sasa +1 more

We numerically study the dynamics of vortex lattice formation in a rotating cigar-shaped Bose-Einstein condensate. The study is a three-dimensional simulation of the Gross-Pitaevskii equation with a phenomenological dissipation term. The simulations reveal previously unknown dynamical features of the vortex nucleation process, in which the condensate undergoes a strongly turbulent stage and the penetrating vortex lines vibrate rapidly. The vibrations arise from spontaneous excitation of Kelvin waves on the protovortices during a surface wave instability, caused by an inhomogeneity of the condensate density along the elongated axial direction.

arXiv:cond-mat/0504603Physical Review AJun 28, 200542 citations

Quantum droplets in dipolar quasi-one-dimensional Bose-Einstein condensates in optical lattices

Sk Siddik, Golam Ali Sekh

Abstract We consider quantum droplets in dipolar Bose–Einstein condensates embedded in optical lattices (OLs) within the framework of Gross–Pitaevskii equations. In dipolar BECs, the long-range and isotropic dipole–dipole interaction (DDI) provides an additional mechanism for self-binding. We analyze the linear stability as well dynamics of quantum droplets. We find an effective potential for the width and show that the optimum width for formation of quantum droplet increases as the DDI increases. We study dynamics of the stable droplets and see that its width oscillates with time, and the amplitude of oscillation increases with the increase of DDI. In presence of OLs, width of a stable droplet changes quasi-periodically while the location of density profile changes periodically in space. The frequency of oscillation depends sensitively on the lattice parameters. We check dynamical stability of a quantum droplet through numerical simulation.

Physica ScriptaJul 30, 20260 citations