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Frantzeskakis DJ, Horikis TP, Rodrigues AS, Kevrekidis PG, Carretero-González R, Cuevas-Maraver J. Hydrodynamics and two-dimensional dark lump solitons for polariton superfluids. Phys Rev E 2018; 98:022205. [PMID: 30253492 DOI: 10.1103/physreve.98.022205] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/23/2018] [Indexed: 06/08/2023]
Abstract
We study a two-dimensional incoherently pumped exciton-polariton condensate described by an open-dissipative Gross-Pitaevskii equation for the polariton dynamics coupled to a rate equation for the exciton density. Adopting a hydrodynamic approach, we use multiscale expansion methods to derive several models appearing in the context of shallow water waves with viscosity. In particular, we derive a Boussinesq/Benney-Luke-type equation and its far-field expansion in terms of Kadomtsev-Petviashvili-I (KP-I) equations for right- and left-going waves. From the KP-I model, we predict the existence of vorticity-free, weakly (algebraically) localized two-dimensional dark-lump solitons. We find that, in the presence of dissipation, dark lumps exhibit a lifetime three times larger than that of planar dark solitons. Direct numerical simulations show that dark lumps do exist, and their dissipative dynamics is well captured by our analytical approximation. It is also shown that lumplike and vortexlike structures can spontaneously be formed as a result of the transverse "snaking" instability of dark soliton stripes.
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Affiliation(s)
- D J Frantzeskakis
- Department of Physics, National and Kapodistrian University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
| | - T P Horikis
- Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
| | - A S Rodrigues
- Departamento de Física e Astronomia/CFP, Faculdade de Ciências, Universidade do Porto, R. Campo Alegre, 687-4169-007 Porto, Portugal
| | - P G Kevrekidis
- Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA
| | - R Carretero-González
- Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA
| | - J Cuevas-Maraver
- Grupo de Física No Lineal, Departamento de Física Aplicada I, Universidad de Sevilla. Escuela Politécnica Superior, C/ Virgen de África, 7, 41011-Sevilla, Spain and Instituto de Matemáticas de la Universidad de Sevilla (IMUS). Edificio Celestino Mutis. Avda. Reina Mercedes s/n, 41012-Sevilla, Spain
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2
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Chen TW, Cheng SC. Polariton solitons and nonlinear localized states in a one-dimensional semiconductor microcavity. Phys Rev E 2018; 97:012218. [PMID: 29448428 DOI: 10.1103/physreve.97.012218] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2017] [Indexed: 11/07/2022]
Abstract
This paper presents numerical studies of cavity polariton solitons (CPSs) in a resonantly pumped semiconductor microcavity with an imbedded spatial defect. In the bistable regime of the well-known homogeneous polariton condensate, with proper incident wave vector and pump strength, bright and/or dark cavity solitons can be found in the presence of a spatially confined potential. The minimum pump strength required to observe the CPSs or nonlinear localized states in this parametric pump scheme is therefore reported.
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Affiliation(s)
- Ting-Wei Chen
- Department of Electrophysics, National Chiayi University, Chiayi City 60004, Taiwan, Republic of China
| | - Szu-Cheng Cheng
- Department of Optoelectric Physics, Chinese Culture University, Taipei 11114, Taiwan, Republic of China
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3
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Goblot V, Nguyen HS, Carusotto I, Galopin E, Lemaître A, Sagnes I, Amo A, Bloch J. Phase-Controlled Bistability of a Dark Soliton Train in a Polariton Fluid. PHYSICAL REVIEW LETTERS 2016; 117:217401. [PMID: 27911548 DOI: 10.1103/physrevlett.117.217401] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/08/2016] [Indexed: 06/06/2023]
Abstract
We use a one-dimensional polariton fluid in a semiconductor microcavity to explore the nonlinear dynamics of counterpropagating interacting Bose fluids. The intrinsically driven-dissipative nature of the polariton fluid allows us to use resonant pumping to impose a phase twist across the fluid. When the polariton-polariton interaction energy becomes comparable to the kinetic energy, linear interference fringes transform into a train of solitons. A novel type of bistable behavior controlled by the phase twist across the fluid is experimentally evidenced.
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Affiliation(s)
- V Goblot
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - H S Nguyen
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - I Carusotto
- INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy
| | - E Galopin
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - A Lemaître
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - I Sagnes
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - A Amo
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
| | - J Bloch
- Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N-Marcoussis, 91460 Marcoussis, France
- Département de Physique, Ecole Polytechnique, Université Paris Saclay, F-91128 Palaiseau Cedex, France
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Dominici L, Petrov M, Matuszewski M, Ballarini D, De Giorgi M, Colas D, Cancellieri E, Silva Fernández B, Bramati A, Gigli G, Kavokin A, Laussy F, Sanvitto D. Real-space collapse of a polariton condensate. Nat Commun 2015; 6:8993. [PMID: 26634817 PMCID: PMC4686858 DOI: 10.1038/ncomms9993] [Citation(s) in RCA: 47] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2015] [Accepted: 10/23/2015] [Indexed: 11/08/2022] Open
Abstract
Microcavity polaritons are two-dimensional bosonic fluids with strong nonlinearities, composed of coupled photonic and electronic excitations. In their condensed form, they display quantum hydrodynamic features similar to atomic Bose-Einstein condensates, such as long-range coherence, superfluidity and quantized vorticity. Here we report the unique phenomenology that is observed when a pulse of light impacts the polariton vacuum: the fluid which is suddenly created does not splash but instead coheres into a very bright spot. The real-space collapse into a sharp peak is at odd with the repulsive interactions of polaritons and their positive mass, suggesting that an unconventional mechanism is at play. Our modelling devises a possible explanation in the self-trapping due to a local heating of the crystal lattice, that can be described as a collective polaron formed by a polariton condensate. These observations hint at the polariton fluid dynamics in conditions of extreme intensities and ultrafast times.
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Affiliation(s)
- L. Dominici
- CNR NANOTEC—Istituto di Nanotecnologia, Via Monteroni, 73100 Lecce, Italy
| | - M. Petrov
- Spin Optics Laboratory, Saint Petersburg State University, 198504 St Petersburg, Russia
| | - M. Matuszewski
- Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, 02-668 Warsaw, Poland
| | - D. Ballarini
- CNR NANOTEC—Istituto di Nanotecnologia, Via Monteroni, 73100 Lecce, Italy
| | - M. De Giorgi
- CNR NANOTEC—Istituto di Nanotecnologia, Via Monteroni, 73100 Lecce, Italy
| | - D. Colas
- Física Teorica de la Materia Condensada, UAM, 28049 Madrid, Spain
| | - E. Cancellieri
- Department of Physics and Astronomy, University of Sheffield, Sheffield S3 7RH, UK
- Laboratoire Kastler Brossel, UPMC-Paris 6, ÉNS et CNRS, 75005 Paris, France
| | - B. Silva Fernández
- CNR NANOTEC—Istituto di Nanotecnologia, Via Monteroni, 73100 Lecce, Italy
- Física Teorica de la Materia Condensada, UAM, 28049 Madrid, Spain
| | - A. Bramati
- Laboratoire Kastler Brossel, UPMC-Paris 6, ÉNS et CNRS, 75005 Paris, France
| | - G. Gigli
- CNR NANOTEC—Istituto di Nanotecnologia, Via Monteroni, 73100 Lecce, Italy
- Università del Salento, Dipartimento di Matematica e Fisica “Ennio de Giorgi”, Via Arnesano, 73100 Lecce, Italy
| | - A. Kavokin
- Spin Optics Laboratory, Saint Petersburg State University, 198504 St Petersburg, Russia
- CNR-SPIN, Tor Vergata, viale del Politecnico 1, 00133 Rome, Italy
- Physics and Astronomy, University of Southampton, Highfield, Southampton SO171BJ, UK
| | - F. Laussy
- Física Teorica de la Materia Condensada, UAM, 28049 Madrid, Spain
- Russian Quantum Center, Moscow Region, 143025 Skolkovo, Russia
| | - D. Sanvitto
- CNR NANOTEC—Istituto di Nanotecnologia, Via Monteroni, 73100 Lecce, Italy
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Zhang WL, Wu XM, Wang F, Ma R, Li XF, Rao YJ. Stark effect induced microcavity polariton solitons. OPTICS EXPRESS 2015; 23:15762-15767. [PMID: 26193554 DOI: 10.1364/oe.23.015762] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
This paper proposes a way of generating polariton solitons (PSs) in a semiconductor microcavity using Stark effect as the trigger mechanism. A Stark pulse performing as the writing beam is used to excite non-resonant fluctuations of polariton, which finally evolves into bright PSs. It is found that a branch of PS solutions versus pump parameters could be found through optimizing parameters of the Stark pulse, and polarization of the generated PS is dependent on the writing beam.
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Amo A, Pigeon S, Sanvitto D, Sala VG, Hivet R, Carusotto I, Pisanello F, Lemenager G, Houdre R, Giacobino E, Ciuti C, Bramati A. Polariton Superfluids Reveal Quantum Hydrodynamic Solitons. Science 2011; 332:1167-70. [DOI: 10.1126/science.1202307] [Citation(s) in RCA: 343] [Impact Index Per Article: 26.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
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Zhang WL, Yu SF. Vectorial polariton solitons in semiconductor microcavities. OPTICS EXPRESS 2010; 18:21219-21224. [PMID: 20941018 DOI: 10.1364/oe.18.021219] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
This paper presents numerical studies of vectorial polariton solitons in semiconductor microcavities. In the simulation, polarization degree of freedom of the polariton fields is taken into consideration. In the bistable regime, bright and/or dark solitons are found to bifurcate from the homogonous solutions of the two circular polarization modes. The combinations of solitons in the two polarization directions can be bright-dark, dark-bright, bright-bright, and dark-dark.
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Affiliation(s)
- W L Zhang
- School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore
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Egorov OA, Skryabin DV, Yulin AV, Lederer F. Bright cavity polariton solitons. PHYSICAL REVIEW LETTERS 2009; 102:153904. [PMID: 19518634 DOI: 10.1103/physrevlett.102.153904] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/02/2008] [Indexed: 05/27/2023]
Abstract
The lower branch of the dispersion relation of exciton polaritons in semiconductor microcavities, operating in the strong-coupling regime, contains sections of both positive and negative curvature along one spatial direction. We show that this leads to the existence of stable one-dimensional bright microcavity solitons supported by the repulsive polariton nonlinearity. To achieve localization along the second transverse direction we propose to create a special soliton waveguide by changing the cavity detuning and hence the boundary of the soliton existence in such a way that the solitons are allowed only within the stripe of the desired width.
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Affiliation(s)
- O A Egorov
- Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany
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Bajoni D, Semenova E, Lemaître A, Bouchoule S, Wertz E, Senellart P, Barbay S, Kuszelewicz R, Bloch J. Optical bistability in a GaAs-based polariton diode. PHYSICAL REVIEW LETTERS 2008; 101:266402. [PMID: 19113780 DOI: 10.1103/physrevlett.101.266402] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/29/2008] [Revised: 11/06/2008] [Indexed: 05/27/2023]
Abstract
We report on a new type of optical nonlinearity in a polariton p-i-n microcavity. Abrupt switching between the strong and weak coupling regime is induced by controlling the electric field within the cavity. As a consequence, bistable cycles are observed for low optical powers (2-3 orders of magnitude less than for Kerr induced bistability). Signatures of switching fronts propagating through the whole 300 x 300 microm2 mesa surface are evidenced.
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Affiliation(s)
- Daniele Bajoni
- CNRS-Laboratoire de Photonique et Nanostructures, Route de Nozay, 91460 Marcoussis, France
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