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arXiv:cond-mat/0301028 · Physical Review Letters

Rotons in Gaseous Bose-Einstein Condensates Irradiated by a Laser

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

Published Mar 17, 2003• 188 citations
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Abstract

A gaseous Bose-Einstein condensate irradiated by a far off-resonance laser has long-range interatomic correlations caused by laser-induced dipole-dipole interactions. These correlations, which are tunable via the laser intensity and frequency, can produce a "roton" minimum in the excitation spectrum--behavior reminiscent of the strongly correlated superfluid liquid He II.

DOI
10.1103/physrevlett.90.110402

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Physical Review Letters•Aug 4, 2011•26 citations
A gaseous Bose-Einstein condensate irradiated by a far off-resonance laser has long-range interatomic correlations caused by laser-induced dipole-dipole interactions. These correlations, which are tunable via the laser intensity and frequency, can produce a "roton" minimum in the excitation spectrum--behavior reminiscent of the strongly correlated superfluid liquid He II.
We study a gaseous atomic Bose–Einstein condensate with laser-induced dipole–dipole interactions using the Hartree–Fock–Bogoliubov theory within the Popov approximation. The dipolar interactions introduce long-range atom–atom correlations which manifest themselves as increased depletion at momenta similar to that of the laser wavelength, as well as a ‘roton’ dip in the excitation spectrum. Surprisingly, the roton dip and the corresponding peak in the depletion are enhanced by raising the temperature above absolute zero.
Several authors have recently discussed the existence of roton excitations in Bose–Einstein condensates (BECs) and considered how a roton dip in the dispersion curve of elementary excitations may be related to the formation of a spatially modulated ground state. Here attention is drawn to a theoretical study of Minguzzi et al. on interatomic correlations in a BEC from dipole–dipole interactions induced by laser light of increasing intensity. Attractive interactions in superfluid 4He and repulsive interactions in ‘untuned’ BECs are then compared and contrasted, the experiments of Woods and Cowley and of Greiner et al. providing the focus respectively. It is stressed that, contrary to a very recent assertion by Nazario and Santiago, 4He is crucially different from BECs at the lowest temperatures.
We study the pair correlations and excitations of a dipolar Bose gas layer. The anisotropy of the dipole-dipole interaction allows us to tune the strength of pair correlations from strong to weak perpendicular and weak to strong parallel to the layer by increasing the perpendicular trap frequency. This change is accompanied by a roton-roton crossover in the spectrum of collective excitations, from a roton caused by the head-to-tail attraction of dipoles to a roton caused by the side-by-side repulsion, while there is no roton excitation for intermediate trap frequencies. We discuss the nature of these two kinds of rotons and the relation to instabilities of dipolar Bose gases. In both regimes of trap frequencies where rotons occur, we observe strong damping of collective excitations by decay into two rotons.