2014
DOI: 10.1103/physrevb.90.035305
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Quantum model of coupled intersubband plasmons

Abstract: We present a quantum model to calculate the dipole-dipole coupling between electronic excitations in the conduction band of semiconductor quantum wells. We demonstrate that the coupling depends on a characteristic length, related to the overlap between microscopic current densities associated with each electronic excitation. As a result of the coupling, a macroscopic polarization is established in the quantum wells, corresponding to one or few bright collective modes of the electron gas. Our model is applied t… Show more

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Cited by 28 publications
(59 citation statements)
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“…16 is the overlap factor between the cavity mode and the absorbing region (including the contact layers) E p ¼ 7 meV is the ISB plasma energy, 31,32 and C isb ¼ 4.2 meV is the FWHM of the ISB peak extracted from a Lorentzian fit of the high energy part of the mesa photo-response (Fig. 3(c)).…”
mentioning
confidence: 99%
“…16 is the overlap factor between the cavity mode and the absorbing region (including the contact layers) E p ¼ 7 meV is the ISB plasma energy, 31,32 and C isb ¼ 4.2 meV is the FWHM of the ISB peak extracted from a Lorentzian fit of the high energy part of the mesa photo-response (Fig. 3(c)).…”
mentioning
confidence: 99%
“…The operators B † α,k , B α,k are bosonic creation and annihilation operators of the intersubband excitations. As only the transitions with low |k| are coupled to light, the electronic dispersion can safely be neglected and w α is assumed independent of k. The quantity j α (z) is the intersubband current density and it is computed from the electronic wavefunctions together with the occupation of the corresponding subbands 19 . The multisubband plasmon Hamiltonian is given by 18 :…”
Section: Superradiant States In Dense Electron Gases: Multisub-bamentioning
confidence: 99%
“…In section II, we present our microscopic model of the collective excitations of the electron gas, the multisubband plasmons (MSPs). It is based on the dipole representation of the light-matter interaction in the Coulomb gauge 18,19 .…”
Section: Introductionmentioning
confidence: 99%
“…The PZW Hamiltonian thus provides a general framework that fully captures both the many-body and quantum-optical aspects in a solid-state system in interaction with the electromagnetic radiation. In particular, this formalism was proven useful in describing the ultrastrong light-matter coupling regime [5] between the intersubband plasmons of a two-dimensional electron gas and a single mode of planar waveguides or microresonators [4,[6][7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…We explore the collective modes of the electron gas, driven by the P-quadratic term of the quantum Hamiltonian as well as the polariton modes of the system, arising from the coupling with the spatially confined electromagnetic modes. Contrary to previous works [4,6,8], we now consider all possible col-* yanko.todorov@univ-paris-diderot.fr lective plasmonic modes, where electrons vibrate both along and perpendicular to the direction of quantum confinement. Furthermore, we use a full modal decomposition of the electromagnetic field.…”
Section: Introductionmentioning
confidence: 99%