Competing role of interactions in synchronisation of exciton–polariton condensates

Khan, Saeed A.; Türeci, Hakan E.

doi:10.1088/1367-2630/aa89a0

Title: Competing role of interactions in synchronisation of exciton–polariton condensates

Journal Article · 01 September 2017 · New Journal of Physics

DOI: https://doi.org/10.1088/1367-2630/aa89a0 · OSTI ID:1437725

Khan, Saeed A. ^[1]; Türeci, Hakan E. ^[1]

Princeton Univ., NJ (United States)

We present a theoretical study of synchronisation dynamics of incoherently pumped exciton–polariton condensates in coupled polariton traps. Our analysis is based on a coupled-mode theory for the generalised Gross–Pitaevskii equation, which employs an expansion in non-Hermitian, pump-dependent modes appropriate for the pumped geometry. We find that polariton–polariton and reservoir-polariton interactions play competing roles and lead to qualitatively different synchronised phases of the coupled polariton modes as pumping power is increased. Crucially, these interactions can also act against each other to hinder synchronisation. We map out a phase diagram and discuss the general characteristics of these phases using a generalised Adler equation.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0016011

OSTI ID:: 1437725

Alternate ID(s):: OSTI ID: 1500028

Journal Information:: New Journal of Physics, Vol. 19, Issue 10; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (49)

Frequency locking of two transverse optical modes of a laser Tamm, Chr. Physical Review A, Vol. 38, Issue 11 https://doi.org/10.1103/physreva.38.5960	journal	December 1988
Mode-locking and mode-competition in a non-equilibrium solid-state condensate Eastham, P. R. arXiv https://doi.org/10.48550/arxiv.0803.2997	text	January 2008
A study of locking phenomena in oscillators Adler, R. Proceedings of the IEEE, Vol. 61, Issue 10 https://doi.org/10.1109/proc.1973.9292	journal	January 1973
Synchronization of chaotic laser mode dynamics Tang, D. Y.; Dykstra, R.; Heckenberg, N. R. Physical Review A, Vol. 54, Issue 6 https://doi.org/10.1103/physreva.54.5317	journal	December 1996
Phase Synchronization of Two Anharmonic Nanomechanical Oscillators Matheny, Matthew H.; Grau, Matt; Villanueva, Luis G. Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.014101	journal	January 2014
Synchronization of Micromechanical Oscillators Using Light Zhang, Mian; Wiederhecker, Gustavo S.; Manipatruni, Sasikanth Physical Review Letters, Vol. 109, Issue 23 https://doi.org/10.1103/PhysRevLett.109.233906	journal	December 2012
Synchronization of many nanomechanical resonators coupled via a common cavity field Holmes, C. A.; Meaney, C. P.; Milburn, G. J. Physical Review E, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevE.85.066203	journal	June 2012
Photonic Cavity Synchronization of Nanomechanical Oscillators Bagheri, Mahmood; Poot, Menno; Fan, Linran Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/PhysRevLett.111.213902	journal	November 2013
Synchronization of Delay-Coupled Oscillators: A Study of Semiconductor Lasers Wünsche, H. -J.; Bauer, S.; Kreissl, J. Physical Review Letters, Vol. 94, Issue 16 https://doi.org/10.1103/PhysRevLett.94.163901	journal	April 2005
Spectral method for efficient computation of time-dependent phenomena in complex lasers Malik, O.; Makris, K. G.; Türeci, H. E. Physical Review A, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevA.92.063829	journal	December 2015
Amplitude-phase coupling drives chimera states in globally coupled laser networks Böhm, Fabian; Zakharova, Anna; Schöll, Eckehard Physical Review E, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevE.91.040901	journal	April 2015
Spin correlations as a probe of quantum synchronization in trapped-ion phonon lasers Hush, Michael R.; Li, Weibin; Genway, Sam Physical Review A, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevA.91.061401	journal	June 2015
Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions Lee, Tony E.; Sadeghpour, H. R. Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.234101	journal	December 2013
Synchronization of Two Ensembles of Atoms Xu, Minghui; Tieri, D. A.; Fine, E. C. Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.154101	journal	October 2014
Synchronized oscillations in Josephson junction arrays: The role of distributed coupling Cawthorne, A. B.; Barbara, P.; Shitov, S. V. Physical Review B, Vol. 60, Issue 10 https://doi.org/10.1103/PhysRevB.60.7575	journal	September 1999
Synchronization by Nonlinear Frequency Pulling Cross, M. C.; Zumdieck, A.; Lifshitz, Ron Physical Review Letters, Vol. 93, Issue 22 https://doi.org/10.1103/PhysRevLett.93.224101	journal	November 2004
Collective Dynamics in Optomechanical Arrays Heinrich, Georg; Ludwig, Max; Qian, Jiang Physical Review Letters, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevLett.107.043603	journal	July 2011
Measures of Quantum Synchronization in Continuous Variable Systems Mari, A.; Farace, A.; Didier, N. Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.103605	journal	September 2013
Quantum Many-Body Dynamics in Optomechanical Arrays Ludwig, Max; Marquardt, Florian Physical Review Letters, Vol. 111, Issue 7 https://doi.org/10.1103/PhysRevLett.111.073603	journal	August 2013
Entanglement tongue and quantum synchronization of disordered oscillators Lee, Tony E.; Chan, Ching-Kit; Wang, Shenshen Physical Review E, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevE.89.022913	journal	February 2014
Genuine Quantum Signatures in Synchronization of Anharmonic Self-Oscillators Lörch, Niels; Amitai, Ehud; Nunnenkamp, Andreas Physical Review Letters, Vol. 117, Issue 7 https://doi.org/10.1103/PhysRevLett.117.073601	journal	August 2016
Synchronized and desynchronized phases of coupled nonequilibrium exciton-polariton condensates Wouters, Michiel Physical Review B, Vol. 77, Issue 12 https://doi.org/10.1103/PhysRevB.77.121302	journal	March 2008
Synchronized and Desynchronized Phases of Exciton-Polariton Condensates in the Presence of Disorder Baas, A.; Lagoudakis, K. G.; Richard, M. Physical Review Letters, Vol. 100, Issue 17 https://doi.org/10.1103/PhysRevLett.100.170401	journal	April 2008
Mode locking and mode competition in a nonequilibrium solid-state condensate Eastham, P. R. Physical Review B, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevB.78.035319	journal	July 2008
Cooperative frequency locking and stationary spatial structures in lasers Lugiato, L. A.; Narducci, L. M.; Oldano, C. Journal of the Optical Society of America B, Vol. 5, Issue 5 https://doi.org/10.1364/JOSAB.5.000879	journal	May 1988
Polariton Condensation in Photonic Molecules Galbiati, Marta; Ferrier, Lydie; Solnyshkov, Dmitry D. Physical Review Letters, Vol. 108, Issue 12 https://doi.org/10.1103/PhysRevLett.108.126403	journal	March 2012
Spatiotemporal coherence of non-equilibrium multimode photon condensates Marelic, Jakov; Zajiczek, Lydia F.; Hesten, Henry J. New Journal of Physics, Vol. 18, Issue 10 https://doi.org/10.1088/1367-2630/18/10/103012	journal	October 2016
Huygens's clocks Bennett, Matthew; Schatz, Michael F.; Rockwood, Heidi Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 458, Issue 2019 https://doi.org/10.1098/rspa.2001.0888	journal	March 2002
Mode competition and output power in regular and chaotic dielectric cavity lasers Tureci, Hakan E.; Stone, A. Douglas SPIE Proceedings https://doi.org/10.1117/12.609080	conference	April 2005
Non-Hermitian coupled-mode theory for incoherently pumped exciton-polariton condensates Khan, S.; Türeci, H. E. Physical Review A, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevA.94.053856	journal	November 2016
Excitations in a Nonequilibrium Bose-Einstein Condensate of Exciton Polaritons Wouters, Michiel; Carusotto, Iacopo Physical Review Letters, Vol. 99, Issue 14 https://doi.org/10.1103/PhysRevLett.99.140402	journal	October 2007
Macroscopic quantum self-trapping and Josephson oscillations of exciton polaritons Abbarchi, M.; Amo, A.; Sala, V. G. Nature Physics, Vol. 9, Issue 5 https://doi.org/10.1038/nphys2609	journal	April 2013
Bosonic Condensation and Disorder-Induced Localization in a Flat Band Baboux, F.; Ge, L.; Jacqmin, T. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.066402	journal	February 2016
Spatial and spectral shape of inhomogeneous nonequilibrium exciton-polariton condensates Wouters, Michiel; Carusotto, Iacopo; Ciuti, Cristiano Physical Review B, Vol. 77, Issue 11 https://doi.org/10.1103/PhysRevB.77.115340	journal	March 2008
Self-consistent multimode lasing theory for complex or random lasing media Türeci, Hakan E.; Stone, A. Douglas; Collier, B. Physical Review A, Vol. 74, Issue 4 https://doi.org/10.1103/PhysRevA.74.043822	journal	October 2006
Steady-state ab initio laser theory: Generalizations and analytic results Ge, Li; Chong, Y. D.; Stone, A. Douglas Physical Review A, Vol. 82, Issue 6 https://doi.org/10.1103/PhysRevA.82.063824	journal	December 2010
Stability and spatial coherence of nonresonantly pumped exciton-polariton condensates Bobrovska, Nataliya; Ostrovskaya, Elena A.; Matuszewski, Michał Physical Review B, Vol. 90, Issue 20 https://doi.org/10.1103/PhysRevB.90.205304	journal	November 2014
Adiabatic approximation and fluctuations in exciton-polariton condensates Bobrovska, Nataliya; Matuszewski, Michał Physical Review B, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevB.92.035311	journal	July 2015
The Kuramoto model: A simple paradigm for synchronization phenomena Acebrón, Juan A.; Bonilla, L. L.; Pérez Vicente, Conrad J. Reviews of Modern Physics, Vol. 77, Issue 1 https://doi.org/10.1103/RevModPhys.77.137	journal	April 2005
A Study of Locking Phenomena in Oscillators Adler, R. Proceedings of the IRE, Vol. 34, Issue 6 https://doi.org/10.1109/JRPROC.1946.229930	journal	June 1946
A study of injection locking and pulling in oscillators Razavi, B. IEEE Journal of Solid-State Circuits, Vol. 39, Issue 9 https://doi.org/10.1109/JSSC.2004.831608	journal	September 2004
Gen-Adler: The generalized Adler's equation for injection locking analysis in oscillators Bhansali, Prateek; Roychowdhury, Jaijeet 2009 Asia and South Pacific Design Automation Conference https://doi.org/10.1109/ASPDAC.2009.4796533	conference	January 2009
Mutual Pulling Between Two Oscillators Mirzaei, Ahmad; Darabi, Hooman IEEE Journal of Solid-State Circuits, Vol. 49, Issue 2 https://doi.org/10.1109/JSSC.2013.2290298	journal	February 2014
Spatial pattern formation and polarization dynamics of a nonequilibrium spinor polariton condensate Borgh, Magnus O.; Keeling, Jonathan; Berloff, Natalia G. Physical Review B, Vol. 81, Issue 23 https://doi.org/10.1103/PhysRevB.81.235302	journal	June 2010
Solving the Schrödinger eigenvalue problem by the imaginary time propagation technique using splitting methods with complex coefficients Bader, Philipp; Blanes, Sergio; Casas, Fernando The Journal of Chemical Physics, Vol. 139, Issue 12 https://doi.org/10.1063/1.4821126	journal	September 2013
Direct Observation of Tunneling and Nonlinear Self-Trapping in a Single Bosonic Josephson Junction Albiez, Michael; Gati, Rudolf; Fölling, Jonas Physical Review Letters, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevLett.95.010402	journal	June 2005
Detuning-Controlled Internal Oscillations in an Exciton-Polariton Condensate Voronova, N. S.; Elistratov, A. A.; Lozovik, Yu. E. Physical Review Letters, Vol. 115, Issue 18 https://doi.org/10.1103/PhysRevLett.115.186402	journal	October 2015
Polaritonic Rabi and Josephson Oscillations Rahmani, Amir; Laussy, Fabrice P. Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep28930	journal	July 2016
Edge states in polariton honeycomb lattices Milićević, M.; Ozawa, T.; Andreakou, P. 2D Materials, Vol. 2, Issue 3 https://doi.org/10.1088/2053-1583/2/3/034012	journal	August 2015

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