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Vertical Cavity Surface Emitting
        Terahertz Lasers

 Alexey Kavokin (SOLAB, St-Petersburg)
 Ivan Shelykh (University of Iceland)
 Tomas Taylor (University of Southampton)
 Mikhail Glazov (Ioffe Physico-Technical Institute)
Polariton Lasers

   GaAs, T=40K               E. Wertz et al.,
                                                                    CdTe, T=50K
                             APL 95, 051108 (2009)




                                                                                            J. Kasprzak et al.
                                                                                        Nature ,443, 409 (2006)
                                                                                            J. Kasprzak et al.
                                                                                        PRL ,101, 146404 (2008)




                        GaN, T=300K                       ZnO, T=300K




G. Christmann et al.,                                Thierry Guillet, this conference
APL 93, 051102 (2008)
Vertical Cavity Surface Emitting Terahertz Lasers
    based on Polariton Lasers




•   Excitation of a 2p exciton state by a two-photon absorption
•   1s polariton state populated due to the THz transition from 2p state
•   Polariton population of 1s state stimulates the THz transition
•   Per each visible photon the device emits a THz photon
•   Vertical geometry! No terahertz cavity needed!
2p-exciton state
1s – 2p terahertz transition in a microcavity




J.L. Tomaino et al., arXiv:1112.2185v1
Coherent injection of microcavity polaritons through two-photon
                 absorption




               Polariton lasing with a two-photon pump in a pillar GaAs microcavity




Courtesy of Alberto Bramati,
Elisabeth Giacobino, LKB, Paris
Theoretical treatment


                  Liouville equation for the density matrix



                                                     Master equation

Rate equations:
                        Second order coherence of pumping light

                                                     2p-population


                                                     1s-population


                                                      Terahertz
                                                      population
Terahertz VCSEL: results of simulation




         • Terahertz emission rate increases at the onset of polariton lasing
         • 2p population saturates
         • 1s population increases exponentially at lasing threshold

New quantum optical effect: Threshold depends on the statistics of photons of pump!
Schematic of a hybrid GaAs/GaN terahertz polariton laser


                          THz light        Blue light



GaN based microcavity                                       T=300 K
No doping needed!


GaN:
E(2p)=2ℏω(LED)




                                                                    Red Light Emitting
                                                                    Diode based on
                                                                    GaAs
Conclusions
  • Polariton lasers: low threshold coherent light sources, realised
    in GaAs, CdTe, GaN, ZnO,…
  • Two photon pumping of polariton lasers allows building
    a THz source
  • Polariton mediated THz lasers based on GaN: compact,
    room temperature, vertical geometry, no THz cavity needed
  • Hybrid blue light/THz lasers: one can see where to shoot!


A.V. Kavokin, I.A. Shelykh, T. Taylor, M. Glazov, arXiv.org > cond-mat > arXiv:1201.4010

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Terahertz vcsel

  • 1. Vertical Cavity Surface Emitting Terahertz Lasers Alexey Kavokin (SOLAB, St-Petersburg) Ivan Shelykh (University of Iceland) Tomas Taylor (University of Southampton) Mikhail Glazov (Ioffe Physico-Technical Institute)
  • 2. Polariton Lasers GaAs, T=40K E. Wertz et al., CdTe, T=50K APL 95, 051108 (2009) J. Kasprzak et al. Nature ,443, 409 (2006) J. Kasprzak et al. PRL ,101, 146404 (2008) GaN, T=300K ZnO, T=300K G. Christmann et al., Thierry Guillet, this conference APL 93, 051102 (2008)
  • 3. Vertical Cavity Surface Emitting Terahertz Lasers based on Polariton Lasers • Excitation of a 2p exciton state by a two-photon absorption • 1s polariton state populated due to the THz transition from 2p state • Polariton population of 1s state stimulates the THz transition • Per each visible photon the device emits a THz photon • Vertical geometry! No terahertz cavity needed!
  • 5. 1s – 2p terahertz transition in a microcavity J.L. Tomaino et al., arXiv:1112.2185v1
  • 6. Coherent injection of microcavity polaritons through two-photon absorption Polariton lasing with a two-photon pump in a pillar GaAs microcavity Courtesy of Alberto Bramati, Elisabeth Giacobino, LKB, Paris
  • 7. Theoretical treatment Liouville equation for the density matrix Master equation Rate equations: Second order coherence of pumping light 2p-population 1s-population Terahertz population
  • 8. Terahertz VCSEL: results of simulation • Terahertz emission rate increases at the onset of polariton lasing • 2p population saturates • 1s population increases exponentially at lasing threshold New quantum optical effect: Threshold depends on the statistics of photons of pump!
  • 9. Schematic of a hybrid GaAs/GaN terahertz polariton laser THz light Blue light GaN based microcavity T=300 K No doping needed! GaN: E(2p)=2ℏω(LED) Red Light Emitting Diode based on GaAs
  • 10. Conclusions • Polariton lasers: low threshold coherent light sources, realised in GaAs, CdTe, GaN, ZnO,… • Two photon pumping of polariton lasers allows building a THz source • Polariton mediated THz lasers based on GaN: compact, room temperature, vertical geometry, no THz cavity needed • Hybrid blue light/THz lasers: one can see where to shoot! A.V. Kavokin, I.A. Shelykh, T. Taylor, M. Glazov, arXiv.org > cond-mat > arXiv:1201.4010