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  • Open Access

Transport of Neutral Optical Excitations Using Electric Fields

Ovidiu Cotleţ, Falko Pientka, Richard Schmidt, Gergely Zarand, Eugene Demler, and Atac Imamoglu
Phys. Rev. X 9, 041019 – Published 25 October 2019

Abstract

Mobile quantum impurities interacting with a fermionic bath form quasiparticles known as Fermi polarons. We demonstrate that a force applied to the bath particles can generate a drag force of similar magnitude acting on the impurities, realizing a novel, nonperturbative Coulomb drag effect. To prove this, we calculate the fully self-consistent, frequency-dependent transconductivity at zero temperature in the Baym-Kadanoff conserving approximation. We apply our theory to excitons and exciton polaritons interacting with a bath of charge carriers in a doped semiconductor embedded in a microcavity. In external electric and magnetic fields, the drag effect enables electrical control of excitons and may pave the way for the implementation of gauge fields for excitons and polaritons. Moreover, a reciprocal effect may facilitate optical manipulation of electron transport. Our findings establish transport measurements as a novel, powerful tool for probing the many-body physics of mobile quantum impurities.

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  • Received 23 March 2018
  • Revised 12 June 2019

DOI:https://doi.org/10.1103/PhysRevX.9.041019

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Ovidiu Cotleţ1,*, Falko Pientka2,*, Richard Schmidt2,3, Gergely Zarand4, Eugene Demler2, and Atac Imamoglu1

  • 1Institute of Quantum Electronics, ETH Zürich, CH-8093, Zürich, Switzerland
  • 2Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 3Max Planck Institute of Quantum Optics, 85748 Garching, Germany
  • 4Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, H-1521, Hungary

  • *These authors have contributed equally to this work.

Popular Summary

Polaritons are, in essence, modified photons. Unlike traditional photons, these part-light, part-matter composite quasiparticles can strongly interact with each other and with other matter particles while still retaining their photonic character. This unique ability allows for some novel applications and studies of fundamental physics. However, since polaritons are charge neutral, one would expect that the standard tools used to control and manipulate charged particles like electrons would not be applicable. Here, we theoretically show that polaritons immersed in an electron gas respond to external electric and magnetic fields much like charged particles.

Specifically, we show that the motion of the electron system leads to the emergence of an effective electric or magnetic field for polaritons, which, ideally, can be of the same order of magnitude as the external electric field. This effective field leads to a novel drag effect, allowing for manipulation of polaritons using external electric or magnetic fields.

The realization of effective magnetic and electric fields for photons can be used to realize behaviors such as quantized orbits in magnetic fields, which are typically reserved for charged particles. When combined with strong interactions, the effective fields would enable exotic many-body phenomena, such as the fractional quantum Hall effect of light.

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Vol. 9, Iss. 4 — October - December 2019

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  • Figure 1
    Figure 1

    Schematic of the experimental setup. A photon is absorbed by the TMD monolayer, forming a polariton that is then dragged by the drifting electrons and subsequently emitted at a different position.

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  • Figure 2
    Figure 2

    Polaron mass as a function of Fermi energy. For this plot, we used a contact interaction model for exciton-electron interaction and solved the polaron problem using the non-self-consistent T-matrix approach developed in Ref. [23]. We took the exciton mass to be twice as large as the electron mass mx=2me.

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  • Figure 3
    Figure 3

    The Green’s functions and T matrix.

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  • Figure 4
    Figure 4

    Self-consistent spectral function of excitons at zero exciton density, μe=εT/2, mx=2me, and disorder broadening 1/2τx=εT/100.

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  • Figure 5
    Figure 5

    Linear response theory for polaron drag within the conserving approximation to lowest order in polaron density. (a) The functional Φ. Dashed (wavy) lines represent disorder (interactions). Blue (dark gray) lines indicate dressed electron propagators, and red (light gray) lines indicate dressed exciton propagators as defined in Fig. 3. (b) The irreducible two-particle vertex K=δ2Φ/δG2. Only diagrams to leading order in exciton density are retained. (c) The Bethe-Salpeter equation (37) for the reducible two-particle vertex L. (d) The transconductivity diagram obtained from Eq. (39). The second and third lines show the solution for L based on the irreducible vertex K in panel (b).

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  • Figure 6
    Figure 6

    Functional describing the exciton-photon interaction Φxν[Gx,Gν] and the vertex correction Γ for polaritons with photon propagators represented by green (dark gray) lines.

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