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Abstract
We consider quantum bosons with contact interactions at the Lowest Landau Level (LLL) of a twodimensional isotropic harmonic trap. At linear order in the coupling parameter $g$, we construct a large, explicit family of quantum states with energies of the form $E_0+gE_1/4+O(g^2)$, where $E_0$ and $E_1$ are integers. Any superposition of these states evolves periodically with a period of $8\pi/g$ until, at much longer time scales of order $1/g^2$, corrections to the energies of order $g^2$ may become relevant. These quantum states provide a counterpart to the known timeperiodic behaviors of the corresponding classical (mean field) theory.
Original language  English 

Article number  126930 
Journal  Physics Letters A 
Volume  384 
Issue number  36 
DOIs  
Publication status  Published  30 Dec 2020 
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Dive into the research topics of 'Timeperiodic quantum states of weakly interacting bosons in a harmonic trap'. Together they form a unique fingerprint.Projects
 1 Active

SRP8: Strategic Research Programme: HighEnergy Physics at the VUB
D'Hondt, J., Van Eijndhoven, N., Craps, B. & Buitink, S.
1/11/12 → 31/10/22
Project: Fundamental