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Lovett S, Walker PM, Osipov A, Yulin A, Naik PU, Whittaker CE, Shelykh IA, Skolnick MS, Krizhanovskii DN. Observation of Zitterbewegung in photonic microcavities. LIGHT, SCIENCE & APPLICATIONS 2023; 12:126. [PMID: 37221208 DOI: 10.1038/s41377-023-01162-x] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/31/2022] [Revised: 04/12/2023] [Accepted: 04/14/2023] [Indexed: 05/25/2023]
Abstract
We present and experimentally study the effects of the photonic spin-orbit coupling on the real space propagation of polariton wavepackets in planar semiconductor microcavities and polaritonic analogues of graphene. In particular, we demonstrate the appearance of an analogue Zitterbewegung effect, a term which translates as 'trembling motion' in English, which was originally proposed for relativistic Dirac electrons and consisted of the oscillations of the centre of mass of a wavepacket in the direction perpendicular to its propagation. For a planar microcavity, we observe regular Zitterbewegung oscillations whose amplitude and period depend on the wavevector of the polaritons. We then extend these results to a honeycomb lattice of coupled microcavity resonators. Compared to the planar cavity, such lattices are inherently more tuneable and versatile, allowing simulation of the Hamiltonians of a wide range of important physical systems. We observe an oscillation pattern related to the presence of the spin-split Dirac cones in the dispersion. In both cases, the experimentally observed oscillations are in good agreement with theoretical modelling and independently measured bandstructure parameters, providing strong evidence for the observation of Zitterbewegung.
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Affiliation(s)
- Seth Lovett
- Department of Physics and Astronomy, University of Sheffield, S3 7RH, Sheffield, UK
| | - Paul M Walker
- Department of Physics and Astronomy, University of Sheffield, S3 7RH, Sheffield, UK.
| | - Alexey Osipov
- Department of Physics and Technology, ITMO University, St. Petersburg, 197101, Russia
| | - Alexey Yulin
- Department of Physics and Technology, ITMO University, St. Petersburg, 197101, Russia
| | - Pooja Uday Naik
- Department of Physics and Astronomy, University of Sheffield, S3 7RH, Sheffield, UK
| | - Charles E Whittaker
- Department of Physics and Astronomy, University of Sheffield, S3 7RH, Sheffield, UK
| | - Ivan A Shelykh
- Department of Physics and Technology, ITMO University, St. Petersburg, 197101, Russia
- Science Institute, University of Iceland, Dunhagi 3, IS-107, Reykjavik, Iceland
| | - Maurice S Skolnick
- Department of Physics and Astronomy, University of Sheffield, S3 7RH, Sheffield, UK
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2
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Chen F, Zhou H, Li H, Cao J, Luo S, Sun Z, Zhang Z, Shao Z, Sun F, Zhou B, Dong H, Xu H, Xu H, Kavokin A, Chen Z, Wu J. Femtosecond Dynamics of a Polariton Bosonic Cascade at Room Temperature. NANO LETTERS 2022; 22:2023-2029. [PMID: 35200029 DOI: 10.1021/acs.nanolett.1c04800] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Whispering gallery modes in a microwire are characterized by a nearly equidistant energy spectrum. In the strong exciton-photon coupling regime, this system represents a bosonic cascade: a ladder of discrete energy levels that sustains stimulated transitions between neighboring steps. Here, by using a femtosecond angle-resolved spectroscopic imaging technique, the ultrafast dynamics of polaritons in a bosonic cascade based on a one-dimensional ZnO whispering gallery microcavity are explicitly visualized. Clear ladder-form build-up processes from higher to lower energy branches of the polariton condensates are observed, which are well reproduced by modeling using rate equations. Remarkably, a pronounced superbunching feature, which could serve as solid evidence for bosonic cascades, is demonstrated by the measured second-order time correlation factor. In addition, the nonlinear polariton parametric scattering dynamics on a time scale of hundreds of femtoseconds are revealed. Our understandings pave the way toward ultrafast coherent control of polaritons at room temperature.
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Affiliation(s)
- Fei Chen
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Hang Zhou
- Department of Physics, College of Physical Science and Technology, Xiamen University, Xiamen 361005, China
| | - Hui Li
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Junhui Cao
- School of Science, Westlake University, Zhejiang 310024, China
- Institute of Natural Sciences, Westlake Institute for Advanced Study, Zhejiang 310024, China
| | - Song Luo
- Department of Physics, College of Physical Science and Technology, Xiamen University, Xiamen 361005, China
| | - Zheng Sun
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | | | - Ziqiu Shao
- School of Science, Westlake University, Zhejiang 310024, China
- Institute of Natural Sciences, Westlake Institute for Advanced Study, Zhejiang 310024, China
| | - Fenghao Sun
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Beier Zhou
- Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
| | - Hongxing Dong
- Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
| | - Huailiang Xu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Hongxing Xu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
| | - Alexey Kavokin
- School of Science, Westlake University, Zhejiang 310024, China
- Institute of Natural Sciences, Westlake Institute for Advanced Study, Zhejiang 310024, China
| | - Zhanghai Chen
- Department of Physics, College of Physical Science and Technology, Xiamen University, Xiamen 361005, China
| | - Jian Wu
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
- Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China
- CAS Center for Excellence in Ultra-intense Laser Science, Shanghai 201800, China
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3
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Koniakhin SV, Bleu O, Stupin DD, Pigeon S, Maitre A, Claude F, Lerario G, Glorieux Q, Bramati A, Solnyshkov D, Malpuech G. Stationary Quantum Vortex Street in a Driven-Dissipative Quantum Fluid of Light. PHYSICAL REVIEW LETTERS 2019; 123:215301. [PMID: 31809176 DOI: 10.1103/physrevlett.123.215301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/10/2019] [Revised: 08/30/2019] [Indexed: 06/10/2023]
Abstract
We investigate the formation of a new class of density-phase defects in a resonantly driven 2D quantum fluid of light. The system bistability allows the formation of low-density regions containing density-phase singularities confined between high-density regions. We show that, in 1D channels, an odd (1 or 3) or even (2 or 4) number of dark solitons form parallel to the channel axis in order to accommodate the phase constraint induced by the pumps in the barriers. These soliton molecules are typically unstable and evolve toward stationary symmetric or antisymmetric arrays of vortex streets straightforwardly observable in cw experiments. The flexibility of this photonic platform allows implementing more complicated potentials such as mazelike channels, with the vortex streets connecting the entrances and thus solving the maze.
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Affiliation(s)
- S V Koniakhin
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
- St. Petersburg Academic University-Nanotechnology Research and Education Centre of the Russian Academy of Sciences, 194021 St. Petersburg, Russia
| | - O Bleu
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
- ARC Centre of Excellence in Future Low-Energy Electronics Technologies and School of Physics and Astronomy, Monash University, Melbourne, Victoria 3800, Australia
| | - D D Stupin
- St. Petersburg Academic University-Nanotechnology Research and Education Centre of the Russian Academy of Sciences, 194021 St. Petersburg, Russia
| | - S Pigeon
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - A Maitre
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - F Claude
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - G Lerario
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
- CNR NANOTEC, Istituto di Nanotecnologia, via Monteroni, 73100 Lecce, Italy
| | - Q Glorieux
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - A Bramati
- Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, College de France, 4 place Jussieu, 75252 Paris, France
| | - D Solnyshkov
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
| | - G Malpuech
- Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, SIGMA Clermont, F-63000 Clermont-Ferrand, France
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Walker PM, Whittaker CE, Skryabin DV, Cancellieri E, Royall B, Sich M, Farrer I, Ritchie DA, Skolnick MS, Krizhanovskii DN. Spatiotemporal continuum generation in polariton waveguides. LIGHT, SCIENCE & APPLICATIONS 2019; 8:6. [PMID: 30651981 PMCID: PMC6333623 DOI: 10.1038/s41377-019-0120-7] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/08/2018] [Revised: 12/24/2018] [Accepted: 12/24/2018] [Indexed: 05/31/2023]
Abstract
We demonstrate the generation of a spatiotemporal optical continuum in a highly nonlinear exciton-polariton waveguide using extremely low excitation powers (2-ps, 100-W peak power pulses) and a submillimeter device suitable for integrated optics applications. We observe contributions from several mechanisms over a range of powers and demonstrate that the strong light-matter coupling significantly modifies the physics involved in all of them. The experimental data are well understood in combination with theoretical modeling. The results are applicable to a wide range of systems with linear coupling between nonlinear oscillators and particularly to emerging polariton devices that incorporate materials, such as gallium nitride and transition metal dichalcogenide monolayers that exhibit large light-matter coupling at room temperature. These open the door to low-power experimental studies of spatiotemporal nonlinear optics in submillimeter waveguide devices.
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Affiliation(s)
- Paul M. Walker
- Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH UK
| | - Charles E. Whittaker
- Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH UK
| | - Dmitry V. Skryabin
- Department of Physics, University of Bath, Bath, BA2 7AY UK
- ITMO University, Kronverksky Avenue 49, St. Petersburg, 197101 Russia
| | - Emiliano Cancellieri
- Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH UK
- Department of Physics, Lancaster University, Lancaster, LA1 4YB UK
| | - Ben Royall
- Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH UK
| | - Maksym Sich
- Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH UK
| | - Ian Farrer
- Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield, S3 7HQ UK
- Cavendish Laboratory, University of Cambridge, Cambridge, CB3 0HE UK
| | - David A. Ritchie
- Cavendish Laboratory, University of Cambridge, Cambridge, CB3 0HE UK
| | - Maurice S. Skolnick
- Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH UK
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5
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Suchomel H, Klembt S, Harder TH, Klaas M, Egorov OA, Winkler K, Emmerling M, Thomale R, Höfling S, Schneider C. Platform for Electrically Pumped Polariton Simulators and Topological Lasers. PHYSICAL REVIEW LETTERS 2018; 121:257402. [PMID: 30608796 DOI: 10.1103/physrevlett.121.257402] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/14/2018] [Indexed: 06/09/2023]
Abstract
Two-dimensional electronic materials such as graphene and transition metal dichalgenides feature unique electrical and optical properties due to the conspirative effect of band structure, orbital coupling, and crystal symmetry. Synthetic matter, as accomplished by artificial lattice arrangements of cold atoms, molecules, electron patterning, and optical cavities, has emerged to provide manifold intriguing frameworks to likewise realize such scenarios. Exciton polaritons have recently been added to the list of promising candidates for the emulation of system Hamiltonians on a semiconductor platform, offering versatile tools to engineer the potential landscape and to access the nonlinear electro-optical regime. In this work, we introduce an electronically driven square and honeycomb lattice of exciton polaritons, paving the way towards real world devices based on polariton lattices for on-chip applications. Our platform exhibits laserlike emission from high-symmetry points under direct current injection, hinting at the prospect of electrically driven polariton lasers with possibly topologically nontrivial properties.
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Affiliation(s)
- Holger Suchomel
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Sebastian Klembt
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Tristan H Harder
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Martin Klaas
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Oleg A Egorov
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Karol Winkler
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Monika Emmerling
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Ronny Thomale
- Institut für Theoretische Physik, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - Sven Höfling
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
- SUPA, School of Physics and Astronomy, University of St. Andrews, St. Andrews KY16 9SS, United Kingdom
| | - Christian Schneider
- Technische Physik, Wilhelm-Conrad-Röntgen-Research Center for Complex Material Systems, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
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