Drive Quantum Matter

Single- and many-electron calculations and related dynamics are presented for a dimer and small Hubbard clusters. Floquet-Bloch picture for a periodic dimer is discussed with regard to the time dependence of the Peierls gap and the expectation of the current operator. In driven Fermi-Hubbard cluster...

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Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Fernando, Gayanath W, Geilhufe, R Matthias, Adil-Gerai Kussow, W Wasanthi P De Silva
Format: Article
Language:English
Subjects:
Clusters
Dimers
Domains
Electromagnetic fields
Electron states
Electrons
Excitation
Mathematical analysis
Parameters
Perturbation
Phase separation
Precursors
Superconductivity
Time dependence
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Summary:Single- and many-electron calculations and related dynamics are presented for a dimer and small Hubbard clusters. Floquet-Bloch picture for a periodic dimer is discussed with regard to the time dependence of the Peierls gap and the expectation of the current operator. In driven Fermi-Hubbard clusters, the time dependence of Charge Gaps and phase separation along with charge pairing at various cluster sizes indicate the presence and absence of paired electron states. We examine the effect of electromagnetic time dependent external perturbations on Hubbard many-electron systems in our search of for precursors to superconducting states and time crystals. Two principally different kinds of electromagnetic excitations are analyzed:(1) Recently demonstrated dynamic modulation of Hubbard parameters due to excitation of certain phonon modes within the far-infrared domain, and (2) Hubbard Hamiltonian, with fixed parameters in an electromagnetic field, resonant with transitions between the ground state and high-energy excited states as possible precursors to superconductivity, within visible-near-infrared domains.
ISSN:2331-8422