Many-body dynamical localisation of coupled quantum kicked rotors

L. A. Toikka; A. Andreanov

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arXiv · 1901.09362

Many-body dynamical localisation of coupled quantum kicked rotors

L. A. Toikka·A. Andreanov

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Abstract

The quantum motion of $N$ coupled kicked rotors is mapped to an interacting $N$-particle Anderson-Aubry-Andr$\'e$ tight-binding problem supporting many-body localised (MBL) phases. Interactions in configuration space are known to be insufficient for destroying Anderson localisation in a system in the MBL phase. The mapping we establish here predicts that a similar effect takes place in momentum space and determines the quantum dynamics of the coupled kicked rotors. Due to the boundedness of the Floquet quasi-energy spectrum there exists limitations on the interacting lattice models that can be mapped to quantum kicked rotors; in particular, no extensive observable can be mapped in the thermodynamic limit.

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L. A. Toikka, A. Andreanov. 2019-01-27. Many-body dynamical localisation of coupled quantum kicked rotors. https://arxiv.org/abs/1901.09362

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