Quasi-one-dimensional spin-orbit- and Rabi-coupled bright dipolar Bose-Einstein-condensate solitons

Abstract

We study the formation of stable bright solitons in quasi-one-dimensional (quasi-1D) spin-orbit-(SO-) and Rabi-coupled two pseudospinor dipolar Bose-Einstein-condensates (BECs) of 164 Dy atoms in the presence of repulsive contact interactions. As a result of the combined attraction-repulsion effect of both interactions and the addition of SO and Rabi couplings, two kinds of ground states in the form of self-trapped bright solitons can be formed, a plane-wave soliton (PWS) and a stripe soliton (SS). These quasi-1D solitons cannot exist in a condensate with purely repulsive contact interactions and SO and Rabi couplings (no dipole). Neglecting the repulsive contact interactions, our findings also show the possibility of creating PWSs and SSs. When the strengths of the two interactions are close to each other, the SS develops an oscillatory instability indicating a possibility of a breather solution, eventually leading to its destruction. We also obtain a phase diagram showing regions where the solution is a PWS or a SS.

Low-dimensional self-bound quantum Rabi-coupled bosonic droplets

“…where δ = (1 − B/ Ã)/(1 + B/ Ã), Ã = gn + 2ω R , and B = 4ω R (gn + ω R ). The mean-field contribution of Rabi coupling gives rise to an energy per particle shift [47,48]. However, we show that for fixed values of energy cutoff ǫc = 10, and the coupling constant g = 0.6, the increase of ω R in the quantum correction induces a self-bound droplet instability as plotted in Fig.…”

Exploring the role of beyond mean-field interaction in the structure and dynamics of one-dimensional quantum droplets

“…Tononi et al in SO coupled BECs demonstrated that the self-bound states are solitonic for vanishingly small MF contribution [27]. Depending upon the Rabi and SO coupling parameters range, these soliton-like states are either of single peak (bright soliton) or multiple peaks (stripe soliton) nature [27,28,31,32].…”

Stable stripe and vortex solitons in two-dimensional spin-orbit coupled Bose–Einstein condensates

“…Moreover, the experimental realization of artificial SOC has revolutionized the quantum manipulation of ultracold atoms [12]. This novel system has incorporated various elements, such as artificial magnetic fields, optical lattices [13][14][15][16][17], and dipole interactions [18][19][20], introducing a plethora of physical phenomena in BEC. Examples include the emergence of plane-wave (PW) phases [21,22], stripe phases [18,[23][24][25][26][27][28], vortices [29][30][31][32], lattice phases [27,33], topological superfluid phases [34,35] and supersolid phases [36,37].…”