Shedding light on correlated electron–photon states using the exact factorization

Ali Abedi (), Elham Khosravi and Ilya V. Tokatly
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Ali Abedi: Nano-Bio Spectroscopy group, Departamento de Física de Materiales, Universidad del País Vasco UPV/EHU
Elham Khosravi: Nano-Bio Spectroscopy group, Departamento de Física de Materiales, Universidad del País Vasco UPV/EHU
Ilya V. Tokatly: Nano-Bio Spectroscopy group, Departamento de Física de Materiales, Universidad del País Vasco UPV/EHU

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 8, 1-12

Abstract: 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 Schrödinger 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.

Date: 2018
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DOI: 10.1140/epjb/e2018-90243-1

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