Following Floquet states in high-dimensional Hilbert spaces
- URL: http://arxiv.org/abs/2111.12998v1
- Date: Thu, 25 Nov 2021 10:13:32 GMT
- Title: Following Floquet states in high-dimensional Hilbert spaces
- Authors: Nils Kr\"uger and Martin Holthaus
- Abstract summary: A strategy is proposed for following a Floquet state in response to small changes of a given system's Hamiltonian.
An iterative algorithm is established which enables one to compute individual Floquet states even for many-body systems with high-dimensional Hilbert spaces.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: An iterative algorithm is established which enables one to compute individual
Floquet states even for many-body systems with high-dimensional Hilbert spaces
that are not accessible to commonly employed conventional methods. A strategy
is proposed for following a Floquet state in response to small changes of a
given system's Hamiltonian. The scheme is applied to a periodically driven
Bose-Hubbard chain, verifying the possibility of pseudoadiabatic Floquet state
following. In particular, it is demonstrated that a driving-induced Mott
insulatorlike target Floquet state can be populated with high efficiency if the
driving amplitude is turned on smoothly but not too slowly. We conclude that
the algorithm constitutes a powerful tool for the future investigation of
many-body Floquet systems.
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