Twisted Property and Orbital Angular Momentum of GSM Matter Wave

Jun Chen, Xiangyun Chen, Qiang Lin

Jordan Pierce, Jason Webster, Hugo Larocque +3 more

Accelerating electrons are known to radiate electromagnetic waves, a property that is central to the concept of many devices, from antennas to synchrotrons. While the electrodynamics of accelerating charged particles is well understood, the same is not true for charged matter waves: would a locally accelerating charged matter wave, like its particle counterpart, radiate? Here we construct a novel class of matter waves, angular accelerating electron waves, by superpositions of twisted electrons carrying orbital angular momentum. We study the electrodynamic behaviour of such accelerating matter waves and reveal the generation of a solenoidal magnetic field in each component, and an accelerating electron wave that does not radiate. These novel properties will have practical impact in spin flipping of qubits for quantum information processing, have been suggested for control of time dilation and length contraction, and raise fundamental questions as to the nature of wave-particle duality in the context of radiating charged matter.

Jasur A. Abdullaev, Anton S. Desyatnikov, Elena A. Ostrovskaya

In this work we explore, theoretically and numerically, the influence of the OAM on the dynamics and suppression of collapse of trapped matter waves with attractive interatomic interaction. We demonstrate that a radially-symmetric harmonic trap can support elliptically shaped rotating clouds of ultracold atoms which exhibit a collapse-free dynamically stable evolution with the number of particles greatly exceeding the threshold for radially-symmetric fundamental state of the trap. To achieve the suppression of collapse, one needs to increase ellipticity of the trapped state and its rotation (spiraling) velocity, by transferring orbital angular momentum to the matter wave, e.g. imprinting a twisted phase front onto an elliptic BEC cloud. As a result, the critical number of atoms for the collapse raises and the BEC cloud exhibits long-term dynamically stable behavior. The results of numerical simulations are in agreement with the modified collapse threshold for the elliptic BEC states with OAM, predicted by variational analysis.

潇菡 曲

Franz Schwabl