Light-mass Bragg cavity polaritons in planar quantum dot lattices

Kessler, Eric; Grochol, M.; Piermarocchi, Carlo

doi:10.1103/physrevb.77.085306

Cited by 18 publications

(19 citation statements)

References 46 publications

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“…The polariton splitting, i.e., the energy difference between the lower and the upper polariton energy, is larger by ϳ0.5 meV at the ⌫ point than at the M point due to the stronger light matter coupling in the normal direction. 7 The presence of a strong central peak could make the experimental observation of the M point triplet more challenging. The disorder shifts the LP ͑UP͒ energy: According to perturbation theory, the shift of the LP ͑UP͒ is zero to first order ͓as seen from Eq.…”

Section: Resultsmentioning

confidence: 99%

“…We have recently theoretically explored Bragg polariton modes at specific symmetry points of the Brillouin zone boundaries. 7 These zone edge Bragg polaritons can have extremely small effective masses, typically three orders of magnitude smaller than conventional cavity polaritons, and behave effectively as Dirac quasiparticles. Bragg polaritons can therefore be similar to light-mass ͑rela-tivistic͒ electrons in graphene, which have been extensively investigated recently.…”

Section: Introductionmentioning

confidence: 99%

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Microcavity polaritons in disordered exciton lattices

Grochol

Piermarocchi

2008

Phys. Rev. B

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We investigate the interaction of excitons in a two dimensional lattice and photons in a planar cavity in the presence of disorder. The strong exciton-photon coupling is described in terms of polariton quasi-particles, which are scattered by a disorder potential. We consider three kinds of disorder: (a) inhomogeneous exciton energy, (b) inhomogeneous exciton-photon coupling and (c) deviations from an ideal lattice. These three types of disorder are characteristic of different physical systems, and their separate analysis gives insight on the competition between randomness and light-matter coupling. We consider conventional planar polariton structures (with excitons resonant to photon modes emitting normal to the cavity) and Bragg polariton structures, in which excitons in a lattice are resonant with photon modes at a finite angle satisfying the Bragg condition. We calculate the absorption spectra in the normal direction and at the Bragg angle by a direct diagonalization of the exciton-photon Hamiltonian. We found that in some cases weak disorder increases the light-matter coupling and leads to a larger polariton splitting. Moreover, we found that the coupling of excitons and photons is less sensitive to disorder of type (b) and (c). This suggests that polaritonic structures realized with impurities in a semiconductor or with atoms in optical lattices are good candidate for the observation of some of the Bragg polariton features.Comment: 8 pages, 5 figure

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Microcavity polaritons in disordered exciton lattices

Grochol

Piermarocchi

2008

Phys. Rev. B

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“…While the broader definition allows for many types of polaritons named for various light-dipole pairings, including intersubband-polaritons (coupling of light to intersubband electronic levels),[3] phonon-polaritons (coupling of light to optical phonons),[4–6] and Bragg-polaritons (coupling of Bragg modes to excitons),[7, 8] here we will focus largely on the aforementioned exciton-polaritons and interactions between light and surface plasmons known as surface-plasmon polaritons (For an excellent review of exciton-polariton coupling in semiconductors, see [9]. For an introductory discussion of strong light-matter coupling and exciton-polaritons in general, please refer to the work by Klingshirn ( Semiconductor Optics, Chapters 5 and 6 ).…”

Section: Introductionmentioning

confidence: 99%

Tailoring light–matter coupling in semiconductor and hybrid-plasmonic nanowires

et al. 2014

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Understanding interactions between light and matter is central to many fields, providing invaluable insights into the nature of matter. In its own right, a greater understanding of light-matter coupling has allowed for the creation of tailored applications, resulting in a variety of devices such as lasers, switches, sensors, modulators, and detectors. Reduction of optical mode volume is crucial to enhancing light-matter coupling strength, and among solid-state systems, self-assembled semiconductor and hybrid-plasmonic nanowires are amenable to creation of highly-confined optical modes. Following development of unique spectroscopic techniques designed for the nanowire morphology, carefully engineered semiconductor nanowire cavities have recently been tailored to enhance light-matter coupling strength in a manner previously seen in optical microcavities. Much smaller mode volumes in tailored hybrid-plasmonic nanowires have recently allowed for similar breakthroughs, resulting in sub-picosecond excited-state lifetimes and exceptionally high radiative rate enhancement. Here, we review literature on light-matter interactions in semiconductor and hybrid-plasmonic monolithic nanowire optical cavities to highlight recent progress made in tailoring light-matter coupling strengths. Beginning with a discussion of relevant concepts from optical physics, we will discuss how our knowledge of light-matter coupling has evolved with our ability to produce ever-shrinking optical mode volumes, shifting focus from bulk materials to optical microcavities, before moving on to recent results obtained from semiconducting nanowires.

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“…There are either proposals for a system of coupled zero-dimensional cavities as mentioned above or for an array of quantum dots embedded in a planar microcavity. 19,20 In the latter case, the optical properties and the possible application of the structure for scalable quantum computation have been discussed in detail. 21 Furthermore, an array of quantum dots defined in a semiconductor twodimensional electron-gas system has been proposed very recently as a voltage-controlled device for studying the fermionic Hubbard model 22 ͑originally introduced for the investigation of metal-insulator transitions 23 ͒ with a longrange Coulomb interaction.…”

Section: Introductionmentioning

confidence: 99%

Quantum phase transitions in an array of coupled nanocavity quantum dots

Grochol

2009

Phys. Rev. B

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We investigate exciton-photon quantum phase transitions in a planar lattice of one-mode cavities containing one quantum dot. The quantum dot can be occupied by up to two excitons with opposite spin. We adopt the well-established mean-field approximation comprising an exciton order parameter and a photon coherence parameter. Calculating exciton-and photon-phase diagrams it is demonstrated that by controlling exciton-and photon-hopping energies a very rich scenario of coupled fermionic-bosonic quantum phase transitions, including, e.g., quantum phase transitions of the Hubbard model or quantum phase transitions of the light, is revealed. Moreover, our results support the interpretation of polariton Bose-Einstein condensation as only ͑polariton͒ laser coherence.

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Light-mass Bragg cavity polaritons in planar quantum dot lattices

Cited by 18 publications

References 46 publications

Microcavity polaritons in disordered exciton lattices

Microcavity polaritons in disordered exciton lattices

Tailoring light–matter coupling in semiconductor and hybrid-plasmonic nanowires

Quantum phase transitions in an array of coupled nanocavity quantum dots

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