Tuning of non-paraxial effects of the Laguerre-Gaussian beam interacting with the two-component Bose–Einstein condensates

Abstract

We present the theory of microscopic interaction of the spin-orbit coupled focused Laguerre-Gaussian beam with the two-component Bose-Einstein condensate , composed of two hyperfine states of 87 Rb in a harmonic trap. We have shown that Raman Rabi frequency distributions over the inter-component coupling identify phase separation coupling strength. A significant enhancement of side-band transitions due to non-paraxial nature of vortex beam is observed for particular values of inter-component coupling around 1.25 and 0.64 in unit of 5.5 nm for 10 5 and 10 6 number of atoms, respectively. The uncertainty in the estimation of these coupling strengths is improved with the focusing angles of the beam. We discuss an experimental scheme to verify this non-paraxial effect on ultra-cold atoms.

Pattern Formation and Evidence of Quantum Turbulence in Binary Bose-Einstein Condensates Interacting with a Pair of Laguerre-Gaussian Laser Beams

“…In that direction, the additional long-range interaction would induce additional terms in the interaction Hamiltonian that might lead to novel density patterns and scaling law in the different kinetic energy spectra, not captured by the contact interaction. Furthermore, these calculations can also be performed beyond the paraxial limit [47,51]. Finally, the studies mentioned above would also be equally fascinating at the beyond-mean field level, where the correlations among particles become significant [115].…”

“…Over the years, remarkable success has been achieved in the field of generation [23][24][25][26][27][28] and manipulation [29][30][31][32][33][34] of LG beams, paving the way to further studies of light-matter interaction [35][36][37][38][39][40][41][42][43]. In that direction, the interaction of LG beams with atomic Bose-Einstein condensate(BEC) is well-studied, both in and beyond the paraxial limit [44][45][46][47][48][49][50][51][52]. The optical trap created by the LG beam has been used to confine BEC and investigate the quantized vortex states [53].…”

Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics

“…To obtain further information of the time-dependent many-particle wavefunction, we present the many-particale variances of the observables, The present work can inspire several promising and interesting future research directions. An immediate extension would be the dynamics of more intricate bosonic structures, e.g., vortex state or mixture of vortex states induced by Raman process using light with orbital angular momentum [73][74][75][76][77] or by synthetic magnetic fields [78] in the longitudinal and transversal resonant tunneling conditions. Also, to apply a linear response theory [72] to accurately calculate the different breathing frequencies involved in the time evolution of different quantities at the resonant tunneling scenario.…”

Dynamics of the Creation of a Rotating Bose–Einstein Condensation by Two Photon Raman Transition Using a Laguerre–Gaussian Laser Pulse

“…A photon of such an LG laser modes has phase profile e ilφ , and carries lh unit OAM in the transverse plane, where φ is the angular coordinate and l is an integer, known as the winding number of the beam. Such LG modes are known to transfer OAM from an optical field to the Rydberg atom [56], BECs [57][58][59][60], and to create a mechanical rotation of particles [61,62]. It was shown that a coherent coupling between the ground state of condensate with a rotating condensate in vortex state, can be achieved by the transfer of OAM of photons to the condensed atoms through Raman transitions [37].…”