Fractional Revivals in Elliptical Atomtronics
arxiv(2024)
摘要
Fractional revivals are recently reported for circular atomtronics, but get
disturbed for a nonzero eccentricity of the waveguide geometry. Here, we
provide a mechanism for the elliptical atomtronics with arbitrary eccentricity
to restore fractional revivals. The uniform ground state of the circular
waveguide becomes nonuniform in the elliptical geometry. An appropriate
dispersion management can bring back the uniformity and we use the overlap
function numerically to identify the corresponding dispersion coefficients,
which match our proposed analytical formula. The fact that the cloud spends
mostly along the semimajor edges, is demonstrated by the survival function. The
said dispersion management recovers the desired fractional revivals patterns,
where the revival time-scale becomes independent of the eccentricity. The
present method paves the way also to observe other known phenomena of circular
atomtronics in elliptical atomtronics.
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