The Remarkable BEC Dimer

Campbell, David

doi:10.1007/978-3-030-35473-2_9

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A Classical Mean-field Limit1

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2022

2023

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Cited by 2 publications

(2 citation statements)

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“…We can reduce the dynamics to a one-dimensional system with a single conjugated pair (z = 2n/N, ϕ = ϕ 1 − ϕ 2 − π ) given by the population inversion and relative phase [53]. With these coordinates, we can reduce the equations of motion to two coupled real-valued ODEs…”

Section: A Classical Mean-field Limitmentioning

confidence: 99%

Dynamical transition from localized to uniform scrambling in locally hyperbolic systems

Steinhuber,

Schlagheck,

Urbina

et al. 2023

Phys. Rev. E

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Section: A Classical Mean-field Limitmentioning

confidence: 99%

Dynamical transition from localized to uniform scrambling in locally hyperbolic systems

Steinhuber,

Schlagheck,

Urbina

et al. 2023

Phys. Rev. E

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“…In the mean field description of this arrangement, there exists a "symmetry plane" whose dynamics can be mapped exactly onto a Bose-Hubbard dimer model [29]. The dimer has also been of great interest in its own right and as a bosonic Josephson junction [22,30,31]. It is given by…”

mentioning

confidence: 99%

Resurgent revivals in bosonic quantum gases: a striking signature of many-body quantum interferences

Schlagheck¹,

Ullmo²,

Lando³

et al. 2022

Preprint

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Matter wave revivals depend on a delicate interplay of constructive many-body quantum interferences in the developing dynamics of an ultracold bosonic system in an optical lattice. It is shown that the interplay between weak intersite tunneling and strong onsite interactions can lead to the quantum dynamics of a density wave displaying several features not found in the mean-field limit: occupancy oscillations, resurgent revivals, and a (anti-) synchronization of revival peaks and occupancy oscillation peaks. This implies cooperative interference effects that alternate between constructive and destructive features leading to the peak revival behaviors. These many-body quantum interference phenomena create striking features in various observables, which are accessible in experimental measurements.

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The Remarkable BEC Dimer

Cited by 2 publications

References 8 publications

Dynamical transition from localized to uniform scrambling in locally hyperbolic systems

Dynamical transition from localized to uniform scrambling in locally hyperbolic systems

Resurgent revivals in bosonic quantum gases: a striking signature of many-body quantum interferences

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