Abstract
We study nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates (BECs) trapped in a triple-well potential in the semiclassical limit. The Rydberg-dressed BECs experience a long-range soft-core interaction, giving rise to strong nearest and next-nearest neighbor interactions in the triple-well system. Using mean-field Gross-Pitaevskii (GP) equations, we show that lower branches of the eigenspectra exhibit loops and level-crossings when the soft-core interaction is strong. The direct level-crossings eliminate the possibility of adiabatic Landau-Zener transitions when tilting of the triple-well potential. We demonstrate that the long-range interaction allows for self-trapping in one, two, or three wells, in a far more controllable manor than BECs with short-range or dipolar interactions. Exact quantum simulations of the three-well Bose-Hubbard model indicate that self-trapping and nonadiabatic transition can be observed with less than a dozen bosons. Our study is relevant to current research into collective excitation and nonlinear dynamics of Rydberg-dressed atoms.
Highlights
The understanding of the dynamics of interacting Bose-Einstein condensates (BECs) has been a lucrative field of research in the past three decades [1,2,3,4,5,6]
With modern experimental techniques that allow for controlling properties of ultracold atomic gases, such as atomatom interactions [7], trapping potentials and spatial dimensions [8,9,10], along with long coherence times [11], stationary and dynamical properties of atomic BECs have been explored in great detail [5]
We study the dynamics of the long-range interacting BEC when the traps are tilted at different rates α
Summary
The understanding of the dynamics of interacting Bose-Einstein condensates (BECs) has been a lucrative field of research in the past three decades [1,2,3,4,5,6]. This interaction has motivated a number theoretical studies on the static and dynamical properties of Rydberg-dressed atoms confined in traps [49,50,51,52,53,54,55] and optical lattices [56,57,58,59,60,61,62]. When the traps are tilted, the system undergoes nonadiabatic Landau-Zener transitions due to complicated loops and level-crossings on the lower branches of the eigenspectra This results in dynamical instability and leads to the breakdown of the adiabatic theorem.
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