# Time-periodic quantum states of weakly interacting bosons in a harmonic trap

Research output: Contribution to journalArticle

1 Citation (Scopus)

## Abstract

We consider quantum bosons with contact interactions at the Lowest Landau Level (LLL) of a two-dimensional 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 time-periodic behaviors of the corresponding classical (mean field) theory.
Original language English 126930 Physics Letters A 384 36 https://doi.org/10.1016/j.physleta.2020.126930 Published - 30 Dec 2020

## Fingerprint

Dive into the research topics of 'Time-periodic quantum states of weakly interacting bosons in a harmonic trap'. Together they form a unique fingerprint.
• ### SRP8: Strategic Research Programme: High-Energy Physics at the VUB

1/11/1231/10/22

Project: Fundamental