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

Author

Listed:
  • Ali Abedi

    (Nano-Bio Spectroscopy group, Departamento de Física de Materiales, Universidad del País Vasco UPV/EHU
    Donostia International Physics Center (DIPC))

  • Elham Khosravi

    (Nano-Bio Spectroscopy group, Departamento de Física de Materiales, Universidad del País Vasco UPV/EHU
    Donostia International Physics Center (DIPC))

  • Ilya V. Tokatly

    (Nano-Bio Spectroscopy group, Departamento de Física de Materiales, Universidad del País Vasco UPV/EHU
    Donostia International Physics Center (DIPC)
    IKERBASQUE, Basque Foundation for Science)

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.

Suggested Citation

  • Ali Abedi & Elham Khosravi & Ilya V. Tokatly, 2018. "Shedding light on correlated electron–photon states using the exact factorization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(8), pages 1-12, August.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:8:d:10.1140_epjb_e2018-90243-1
    DOI: 10.1140/epjb/e2018-90243-1
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    References listed on IDEAS

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    1. Norah M. Hoffmann & Heiko Appel & Angel Rubio & Neepa T. Maitra, 2018. "Light-matter interactions via the exact factorization approach," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(8), pages 1-14, August.
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