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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

Faraday waves in a cigar-shaped Bose-Einstein condensate are created. It is shown that periodically modulating the transverse confinement, and thus the nonlinear interactions in the BEC, excites small amplitude longitudinal oscillations…

Other Condensed Matter · Physics 2007-05-23 P. Engels , C. Atherton , M. A. Hoefer

Motivated by recent experiments on Faraday waves in Bose-Einstein condensates we investigate both analytically and numerically the dynamics of cigar-shaped Bose-condensed gases subject to periodic modulation of the strength of the…

Other Condensed Matter · Physics 2010-12-10 Alexandru I. Nicolin , R. Carretero-Gonzalez , P. G. Kevrekidis

We observe entanglement between collective excitations of a Bose-Einstein condensate in a configuration analogous to particle production during the preheating phase of the early universe. In our setup, the oscillation of the inflaton field…

We propose Faraday waves as a probe for collective excitations in self-gravitating Bose-Einstein condensates (SGBECs). Using a semi-classical approach based on linear stability analysis of the Gross-Pitaevskii-Newton equations, we derive a…

Quantum Gases · Physics 2025-11-20 Ning Liu , Guodong Cheng

We analyze the uniform system of weakly interacting bosonic gas undergoing periodic oscillation of interaction constant. This, within Bogoliubov approximation, leads to creation of atom pairs with well defined opposite velocities. We show…

Quantum Gases · Physics 2020-09-15 Paweł Ziń , Maciej Pylak

Temporal periodic modulation of the interatomic s-wave scattering length in Bose-Einstein condensates is shown to excite subharmonic patterns of atom density through a parametric resonance. The dominating wavelength of the spatial…

Statistical Mechanics · Physics 2009-11-07 Kestutis Staliunas , Stefano Longhi , German J. de Valcarcel

We have observed parametric generation and amplification of ultracold atom pairs. A 87Rb Bose-Einstein condensate was loaded into a one-dimensional optical lattice with quasimomentum k0 and spontaneously scattered into two final states with…

Other Condensed Matter · Physics 2007-05-23 Gretchen K. Campbell , Jongchul Mun , Micah Boyd , Erik W. Streed , Wolfgang Ketterle , David E. Pritchard

We experimentally and theoretically investigate the lowest-lying axial excitation of an atomic Bose-Einstein condensate in a cylindrical box trap. By tuning the atomic density, we observe how the nature of the mode changes from a…

Faraday and resonant density waves emerge in Bose-Einstein condensates as a result of harmonic driving of the system. They represent nonlinear excitations and are generated due to the interaction-induced coupling of collective oscillation…

Quantum Gases · Physics 2019-09-11 Dusan Vudragovic , Antun Balaz

We formulate particle creation phenomena in Bose--Einstein condensates in terms of conserving gapless mean field theory for weakly interacting Bose gases. The particle creation spectrum is calculated by rediagonalizing the Bogoliubov--de…

Quantum Gases · Physics 2010-12-21 Yasunari Kurita , Michikazu Kobayashi , Hideki Ishihara , Makoto Tsubota

We study the emergence of density waves in dipolar Bose-Einstein condensates (BEC) when the strength of dipole-dipole atomic interactions is periodically varied in time. The proposed theoretical model, based on the evolution of small…

Quantum Gases · Physics 2020-05-20 B. Kh. Turmanov , B. B. Baizakov , F. Kh. Abdullaev

We study Faraday and resonant waves in two-component quasi-one-dimensional (cigar-shaped) collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. We show by means of extensive…

We explore, both experimentally and theoretically, the response of an elongated Bose-Einstein condensate to modulated interactions. We identify two distinct regimes differing in modulation frequency and modulation strength. Longitudinal…

Quantum Gases · Physics 2019-04-03 J. H. V. Nguyen , M. C. Tsatsos , D. Luo , A. U. J. Lode , G. D. Telles , V. S. Bagnato , R. G. Hulet

We report on the experimental measurement of the dispersion relation of the density and spin collective excitation modes in an elongated two-component superfluid of ultracold bosonic atoms. Our parametric spectroscopic technique is based on…

A theory of collective excitations in Bose-Einstein condensation in a trap is developed based on the quantum Hamilton-Jacobi equation of Bohm and the phase coherence along with the idea of off-diagonal long range order of Penrose and…

Other Condensed Matter · Physics 2007-05-23 S. J. Han

Generation of Faraday waves in superfluid Fermi-Bose mixtures in elongated traps is investigated. The generation of waves is achieved by periodically changing a parameter of the system in time. Two types of modulations of parameters are…

Pattern Formation and Solitons · Physics 2013-02-19 F. Kh. Abdullaev , M. Ogren , M. P. Soerensen

We investigate the parametric amplification of the zero-point fluctuations in the spin modes of a two-component Bose-Einstein condensate, triggered by the dynamical evolution of the condensate density. We first make use of a Thomas-Fermi…

Quantum Gases · Physics 2021-10-04 Salvatore Butera , Iacopo Carusotto

We study the emergence of Faraday waves in cigar-shaped collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. Considering a Gaussian-shaped radially inhomogeneous scattering length,…

A Bose-Einstein condensate in an optical lattice exhibits parametric resonances when the intensity of the lattice is periodically modulated in time. These resonances correspond to an exponential growth of the population of…

Statistical Mechanics · Physics 2009-11-11 C. Tozzo , M. Kraemer , F. Dalfovo
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