Floquet engineering of electric polarization with two-frequency drive

DOI10.1093/PTEP/PTAB127zbMATH Open1491.78013arXiv2106.09930OpenAlexW3217056481WikidataQ114723605 ScholiaQ114723605MaRDI QIDQ5082517

Takahiro Morimoto, Sota Kitamura, Yuya Ikeda

Publication date: 16 June 2022

Published in: PTEP. Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

Abstract: Electric polarization is a geometric phenomenon in solids and has a close relationship to the symmetry of the system. Here we propose a mechanism to dynamically induce and manipulate electric polarization by using an external light field. Specifically, we show that application of bicircular lights (BCLs) control the rotational symmetry of the system and can generate electric polarization. To this end, we use Floquet theory to study a system subjected to a two-frequency drive. We derive an effective Hamiltonian with high frequency expansions, for which the electric polarization is computed with the Berry phase formula. We demonstrate the dynamical control of polarization for a one-dimensional SSH chain, a square lattice model, and a honeycomb lattice model.

Full work available at URL: https://arxiv.org/abs/2106.09930

zbMATH Keywords

lattice models Floquet theory electric polarization

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lasers, masers, optical bistability, nonlinear optics (78A60) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Waves and radiation in optics and electromagnetic theory (78A40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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