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

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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 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.

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Authors and Affiliations

  1. Nano-Bio Spectroscopy group, Departamento de Física de Materiales, Universidad del País Vasco UPV/EHU, Av. Tolosa 72, 20018, San Sebastián, Spain

    Ali Abedi, Elham Khosravi & Ilya V. Tokatly

  2. Donostia International Physics Center (DIPC), Manuel de Lardizabal 5, 20018, San Sebastián, Spain

    Ali Abedi, Elham Khosravi & Ilya V. Tokatly

  3. IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain

    Ilya V. Tokatly

Authors
  1. Ali Abedi
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  2. Elham Khosravi
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  3. Ilya V. Tokatly
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Correspondence to Ali Abedi.

Additional information

Contribution to the Topical Issue “Special issue in honor of Hardy Gross”, edited by C.A. Ullrich, F.M.S. Nogueira, A. Rubio, and M.A.L. Marques.

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Abedi, A., Khosravi, E. & Tokatly, I.V. Shedding light on correlated electron–photon states using the exact factorization. Eur. Phys. J. B 91, 194 (2018). https://doi.org/10.1140/epjb/e2018-90243-1

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