Displaced dynamics of binary mixtures in linear and nonlinear optical lattices

Abstract

The dynamical behavior of matter wave solitons of two-component Bose-Einstein condensates (BEC) in combined linear and nonlinear optical lattices (OLs) is investigated. In particular, the dependence of the frequency of the oscillating dynamics resulting from initially slightly displaced components is investigated both analytically, by means of a variational effective potential approach for the reduced collective coordinate dynamics of the soliton, and numerically, by direct integrations of the mean field equations of the BEC mixture. We show that for small initial displacements binary solitons can be viewed as point masses connected by elastic springs of strengths related to the amplitude of the OL and to the intra and inter-species interactions. Analytical expressions of symmetric and anti-symmetric mode frequencies, are derived and occurrence of beatings phenomena in the displaced dynamics is predicted. These expressions are shown to give a very good estimation of the oscillation frequencies for different values of the intra-species interatomic scattering length, as confirmed by direct numerical integrations of the mean field Gross-Pitaevskii equations (GPE) of the mixture. The possibility to use displaced dynamics for indirect measurements of BEC mixture characteristics such as number of atoms and interatomic interactions is also suggested.

8 pages, 21 figures

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Solitons in nonlinear lattices
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Tuning the scattering length with an optically induced Feshbach resonance
• Double species condensate with tunable interspecies interactions
• Controlling phase separation of binary Bose-Einstein condensates via mixed-spin-channel Feshbach resonance
• Coherent collisional spin dynamics in optical lattices
• Spatially inhomogeneous phase evolution of a two-component Bose-Einstein condensate
• Quantum phases of interacting phonons in ion traps
• Delocalizing transition in one-dimensional condensates in optical lattices due to inhomogeneous interactions
• Rabi-Josephson oscillations and self-trapped dynamics in atomic junctions with two bosonic species
• Mixed symmetry localized modes and breathers in binary mixtures of Bose-Einstein condensates in optical lattices

Cited by in corpus (5)

• Split and overlapped binary solitons in optical lattices
• Effects of optical lattices on bright solitons in spin-orbit coupled Bose-Einstein condensates
• Normal mode oscillations of a nonlocal composite matter wave soliton
• Instabilities of a Bose-Einstein condensate with mixed nonlinear and linear lattices
• Josephson-type oscillations in spin-orbit coupled Bose-Einstein condensates with nonlinear optical lattices