Creation on demand of higher orbital states in a vibrating optical lattice
Tomasz Sowinski

TL;DR
This paper demonstrates that neglected terms in the extended Hubbard Hamiltonian enable on-demand creation of higher orbital states in optical lattices through parametric resonance, opening new avenues for studying particle-lattice interactions.
Contribution
It reveals the significance of overlooked Hamiltonian terms and proposes a method to generate orbital states on demand in optical lattices.
Findings
Neglected Hamiltonian terms affect system dynamics.
Orbital states can be created via parametric resonance.
Potential for studying particle-lattice interactions.
Abstract
It is shown that the extended Hubbard Hamiltonian describing atoms confined in an optical lattice always contains commonly neglected terms which can significantly change the dynamical properties of the system. Particularly for bosonic systems, they can be exploited for creating orbital states on demand via the parametric resonance phenomenon. This indicates an additional application for optical lattices, namely the study and emulation of interactions between particles and lattice vibrations.
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