Stability of a dipolar Bose-Einstein condensate in a one-dimensional lattice

Billy, Juliette; Henn, E. A. L.; Kadau, Holger; Griesmaier, Axel; Jona-Lasinio, M.; Santos, Luís; Pfau, Tilman

doi:10.1103/physreva.84.053601

Cited by 80 publications

(86 citation statements)

References 37 publications

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“…Unlike the usual contact nonlinearity, which represents effects of collisions between atoms, dipole-dipole interactions (DDIs) give rise to long-range anisotropic forces. The DDIs account for a number of remarkable phenomena in ultracold Bose gases [9]- [11], such as various pattern-formation scenarios [12][13][14][15][16], fractional domain walls [17], d -wave collapse [18,19], specific possibilities for precision measurements [20][21][22], stabilization of the dipolar BEC by optical lattices [23,24], the Einstein -de Haas effect [25], etc. Dipolar BECs can be also used as matter-wave simulators [26], to emulate, in particular, the creation of multi-dimensional solitons via the nonlocal nonlinearity-a subject which has also drawn much attention in optics, where nonlocal interactions of other types (with different interaction kernels) occur too [27][28][29].…”

Section: Introduction and The Settingmentioning

confidence: 99%

Matter-wave solitons supported by field-induced dipole-dipole repulsion with spatially modulated strength

Liu

Pang

et al. 2013

Phys. Rev. A

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We demonstrate the existence of one and two-dimensional bright solitons in the Bose-Einstein condensate with repulsive dipole-dipole interactions induced by a combination of dc and ac polarizing fields, oriented perpendicular to the plane in which the BEC is trapped, assuming that the strength of the fields grows in the radial (r) direction faster than r 3 . Stable tightly confined 1D and 2D fundamental solitons, twisted solitons in 1D, and solitary vortices in 2D are found in a numerical form. The fundamental solitons remain robust under the action of an expulsive potential, which is induced by the interaction of the dipoles with the polarizing field. The confinement and scaling properties of the soliton families are explained analytically. The Thomas-Fermi approximation is elaborated for fundamental solitons. The mobility of the fundamental solitons is limited to the central area. Stable 1D even and odd solitons are also found in the setting with a double-well modulation function, along with a regime of Josephson oscillations.

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Section: Introduction and The Settingmentioning

confidence: 99%

Matter-wave solitons supported by field-induced dipole-dipole repulsion with spatially modulated strength

Liu

Pang

et al. 2013

Phys. Rev. A

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“…Considerable success in this field has been attained with atomic systems in laser traps 81 : excitation spectrum measurements by Bragg spectroscopy were performed 82 , a roton-maxon form of the excitation spectrum has been demonstrtated 83 , processes similar to Bloch oscillations in crystals have been observed 84 . From the theory side ground state and excitation spectrum have been calculated for models with a one-dimensional periodic potential 85 and effects similar to the ones for electrons in a crystal have been predicted, such as Bloch oscillations 86 .…”

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confidence: 99%

Anisotropic superfluidity of two-dimensional excitons in a periodic potential

2017

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We study anisotropies of helicity modulus, excitation spectrum, sound velocity and angle-resolved luminescence spectrum in a two-dimensional system of interacting excitons in a periodic potential. Analytical expressions for anisotropic corrections to the quantities characterizing superfluidity are obtained. We consider particularly the case of dipolar excitons in quantum wells. For GaAs/AlGaAs heterostructures as well as MoS2/hBN/MoS2 and MoSe2/hBN/WSe2 transition metal dichalcogenide bilayers estimates of the magnitude of the predicted effects are given. We also present a method to control superfluid motion and to determine the helicity modulus in generic dipolar systems.

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“…There are two experimental realizations for the model. The first one is atoms with magnetic dipole moment [13], [14] at the Feshbach resonance [15] in a 1D optical lattice [16]. The second one is polar molecules with electrically induced moment [17] in a 1D optical lattice [18].…”

Section: Introductionmentioning

confidence: 99%