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arXiv · 2211.01870

Many-body quantum boomerang effect

Jakub Janarek·Jakub Zakrzewski·Dominique Delande
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Abstract

We study numerically the impact of many-body interactions on the quantum boomerang effect. We consider various cases: weakly interacting bosons, the Tonks-Girardeau gas, and strongly interacting bosons (which may be mapped onto weakly interacting fermions). Numerical simulations are performed using the time-evolving block decimation algorithm, a quasi-exact method based on matrix product states. In the case of weakly interacting bosons, we find a partial destruction of the quantum boomerang effect, in agreement with the earlier mean-field study [Phys. Rev. A \textbf{102}, 013303 (2020)]. For the Tonks-Girardeau gas, we show the presence of the full quantum boomerang effect. For strongly interacting bosons, we observe a partial boomerang effect. We show that the destruction of the quantum boomerang effect is universal and does not depend on the details of the interaction between particles.

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Jakub Janarek, Jakub Zakrzewski, Dominique Delande. 2023-10-27. Many-body quantum boomerang effect. https://doi.org/10.1103/physrevb.107.094204

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