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arXiv · 1806.02769

Shedding Light on Correlated Electron-Photon States using the Exact Factorization

Ali Abedi·Elham Khosravi·Ilya Tokatly
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Abstract

The Exact Factorization framework is extended and utilized to introduce the electronic-states of correlated electron-photon systems. The formal definitions of an exact scalar potential and an exact vector potential that account for the electron-photon correlation are given. Inclusion of these potentials to the Hamiltonian of the uncoupled electronic system leads to a purely electronic Schr\"odinger equation that uniquely determines the electronic states of the complete electron-photon system. For a one-dimensional asymmetric double-well potential coupled to a single photon mode with resonance frequency, we investigate the features of the exact scalar potential. In particular, we discuss the significance of the step-and-peak structure of the exact scalar potential in describing the phenomena of photon-assisted delocalization and polaritonic squeezing of the electronic excited-states. In addition, we develop an analytical approximation for the scalar potential and demonstrate how the step-and-peak features of the exact scalar potential are captured by the proposed analytical expression.

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Ali Abedi, Elham Khosravi, Ilya Tokatly. 2018-06-07. Shedding Light on Correlated Electron-Photon States using the Exact Factorization. https://doi.org/10.1140/epjb/e2018-90243-1

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