Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Next-nearest-neighbor coupling with spinor polariton condensates

Dmitriy Dovzhenko1,*, Denis Aristov1, Lucinda Pickup1, Helgi Sigurðsson2,3, and Pavlos Lagoudakis1,4

  • 1School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
  • 2Science Institute, University of Iceland, Dunhagi 3, IS-107 Reykjavik, Iceland
  • 3Institute of Experimental Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL-02-093 Warsaw, Poland
  • 4Hybrid Photonics Laboratory, Skolkovo Institute of Science and Technology, Territory of Innovation Center Skolkovo, Bolshoy Boulevard 30, building 1, 121205 Moscow, Russia

  • *DovzhenkoDS@gmail.com

Phys. Rev. B 108, L161301 – Published 11 October, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L161301

Abstract

We report on experimental observation of next-nearest-neighbor coupling between ballistically expanding spinor exciton-polariton condensates in a planar semiconductor microcavity. All-optical control over the coupling strength between neighboring condensates is demonstrated through distance-periodic pseudospin screening of their ballistic particle outflow due to the inherent splitting of the planar cavity transverse-electric and transverse-magnetic modes. By screening the nearest-neighbor coupling we overcome the conventional spatial coupling hierarchy between condensates. This offers a promising route toward creating unconventional nonplanar many-body Hamiltonians using networks of ballistically expanding spinor exciton-polariton condensates.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (59)

  1. F. Alet, A. M. Walczak, and M. P. Fisher, Exotic quantum phases and phase transitions in correlated matter, Physica A 369, 122 (2006).
  2. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature (London) 415, 39 (2002).
  3. L. Fallani, J. E. Lye, V. Guarrera, C. Fort, and M. Inguscio, Ultracold atoms in a disordered crystal of light: Towards a Bose glass, Phys. Rev. Lett. 98, 130404 (2007).
  4. I. Bloch, J. Dalibard, and S. Nascimbène, Quantum simulations with ultracold quantum gases, Nat. Phys. 8, 267 (2012).
  5. I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86, 153 (2014).
  6. D. Hanneke, J. P. Home, J. D. Jost, J. M. Amini, D. Leibfried, and D. J. Wineland, Realization of a programmable two-qubit quantum processor, Nat. Phys. 6, 13 (2010).
  7. M. Johanning, A. F. Varón, and C. Wunderlich, Quantum simulations with cold trapped ions, J. Phys. B 42, 154009 (2009).
  8. X. Peng, J. Zhang, J. Du, and D. Suter, Quantum simulation of a system with competing two- and three-body interactions, Phys. Rev. Lett. 103, 140501 (2009).
  9. R. Hanson and D. D. Awschalom, Coherent manipulation of single spins in semiconductors, Nature (London) 453, 1043 (2008).
  10. J. Q. You and F. Nori, Atomic physics and quantum optics using superconducting circuits, Nature (London) 474, 589 (2011).
  11. M. P. Harrigan, K. J. Sung, M. Neeley, K. J. Satzinger, F. Arute, K. Arya, J. Atalaya, J. C. Bardin, R. Barends, S. Boixo et al., Quantum approximate optimization of non-planar graph problems on a planar superconducting processor, Nat. Phys. 17, 332 (2021).
  12. D. E. Chang, V. Vuletić, and M. D. Lukin, Quantum nonlinear optics—photon by photon, Nat. Photon. 8, 685 (2014).
  13. A. Periwal, E. S. Cooper, P. Kunkel, J. F. Wienand, E. J. Davis, and M. Schleier-Smith, Programmable interactions and emergent geometry in an array of atom clouds, Nature (London) 600, 630 (2021).
  14. S. Alyatkin, J. D. Töpfer, A. Askitopoulos, H. Sigurdsson, and P. G. Lagoudakis, Optical control of couplings in polariton condensate lattices, Phys. Rev. Lett. 124, 207402 (2020).
  15. S. Alyatkin, H. Sigurdsson, A. Askitopoulos, J. D. Töpfer, and P. G. Lagoudakis, Quantum fluids of light in all-optical scatterer lattices, Nat. Commun. 12, 5571 (2021).
  16. A. Kavokin, T. C. H. Liew, C. Schneider, P. G. Lagoudakis, S. Klembt, and S. Hoefling, Polariton condensates for classical and quantum computing, Nat. Rev. Phys. 4, 435 (2022).
  17. Y. Zhang, X. Zhang, B. Tang, C. Tian, C. Xu, H. Dong, and W. Zhou, Realization of an all-optically controlled dynamic superlattice for exciton-polaritons, Nanoscale 10, 14082 (2018).
  18. L. Pickup, H. Sigurdsson, J. Ruostekoski, and P. G. Lagoudakis, Synthetic band-structure engineering in polariton crystals with non-Hermitian topological phases, Nat. Commun. 11, 4431 (2020).
  19. M. Pieczarka, E. Estrecho, S. Ghosh, M. Wurdack, M. Steger, D. W. Snoke, K. West, L. N. Pfeiffer, T. C. H. Liew, A. G. Truscott, and E. A. Ostrovskaya, Topological phase transition in an all-optical exciton-polariton lattice, Optica 8, 1084 (2021).
  20. J. D. Töpfer, I. Chatzopoulos, H. Sigurdsson, T. Cookson, Y. G. Rubo, and P. G. Lagoudakis, Engineering spatial coherence in lattices of polariton condensates, Optica 8, 106 (2021).
  21. N. G. Berloff, M. Silva, K. Kalinin, A. Askitopoulos, J. D. Töpfer, P. Cilibrizzi, W. Langbein, and P. G. Lagoudakis, Realizing the classical XY Hamiltonian in polariton simulators, Nat. Mater. 16, 1120 (2017).
  22. J. Kasprzak, M. Richard, S. Kundermann, A. Baas, P. Jeambrun, J. M. J. Keeling, F. M. Marchetti, M. H. Szymańska, R. André, J. L. Staehli, V. Savona, P. B. Littlewood, B. Deveaud, and L. S. Dang, Bose-Einstein condensation of exciton polaritons, Nature (London) 443, 409 (2006).
  23. H. Ohadi, R. L. Gregory, T. Freegarde, Y. G. Rubo, A. V. Kavokin, N. G. Berloff, and P. G. Lagoudakis, Nontrivial phase coupling in polariton multiplets, Phys. Rev. X 6, 031032 (2016).
  24. J. D. Töpfer, H. Sigurdsson, L. Pickup, and P. G. Lagoudakis, Time-delay polaritonics, Commun. Phys. 3, 2 (2020).
  25. A. S. Abdalla, B. Zou, and Y. Zhang, Optical Josephson oscillation achieved by two coupled exciton-polariton condensates, Opt. Express 28, 9136 (2020).
  26. C. Domb and R. Potts, Order-disorder statistics IV. A two-dimensional model with first and second interactions, Proc. R. Soc. London A 210, 125 (1951).
  27. W. Selke, The ANNNI model—theoretical analysis and experimental application, Phys. Rep. 170, 213 (1988).
  28. M. Wolf and K. D. Schotte, Ising model with competing next-nearest-neighbour interactions on the kagome lattice, J. Phys. A: Math. Gen. 21, 2195 (1988).
  29. A. J. Ramírez-Pastor, F. Nieto, and E. E. Vogel, Ising lattices with ±J second-nearest-neighbor interactions, Phys. Rev. B 55, 14323 (1997).
  30. K. P. Kalinin, P. G. Lagoudakis, and N. G. Berloff, Exotic states of matter with polariton chains, Phys. Rev. B 97, 161101(R) (2018).
  31. K. P. Kalinin and N. G. Berloff, Computational complexity continuum within Ising formulation of NP problems, Commun. Phys. 5, 20 (2022).
  32. S. L. Harrison, H. Sigurdsson, S. Alyatkin, J. D. Töpfer, and P. G. Lagoudakis, Solving the max-3-cut problem with coherent networks, Phys. Rev. Appl. 17, 024063 (2022).
  33. C. Schneider, K. Winkler, M. D. Fraser, M. Kamp, Y. Yamamoto, E. A. Ostrovskaya, and S. Höfling, Exciton-polariton trapping and potential landscape engineering, Rep. Prog. Phys. 80, 016503 (2017).
  34. H. Deng, H. Haug, and Y. Yamamoto, Exciton-polariton Bose-Einstein condensation, Rev. Mod. Phys. 82, 1489 (2010).
  35. H. Yang and N. Y. Kim, Microcavity exciton-polariton quantum spin fluids, Adv. Quantum Technol. 5, 2100137 (2022).
  36. D. Read, T. C. H. Liew, Y. G. Rubo, and A. V. Kavokin, Stochastic polarization formation in exciton-polariton Bose-Einstein condensates, Phys. Rev. B 80, 195309 (2009).
  37. Y. del Valle-Inclan Redondo, H. Sigurdsson, H. Ohadi, I. A. Shelykh, Y. G. Rubo, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Observation of inversion, hysteresis, and collapse of spin in optically trapped polariton condensates, Phys. Rev. B 99, 165311 (2019).
  38. F. Meier and B. Zakharchenya, Optical Orientation (North Holland, Amsterdam, 1984), p. 523.
  39. S. Pfalz, R. Winkler, T. Nowitzki, D. Reuter, A. D. Wieck, D. Hägele, and M. Oestreich, Optical orientation of electron spins in GaAs quantum wells, Phys. Rev. B 71, 165305 (2005).
  40. P. Renucci, T. Amand, X. Marie, P. Senellart, J. Bloch, B. Sermage, and K. V. Kavokin, Microcavity polariton spin quantum beats without a magnetic field: A manifestation of Coulomb exchange in dense and polarized polariton systems, Phys. Rev. B 72, 075317 (2005).
  41. A. Askitopoulos, A. V. Nalitov, E. S. Sedov, L. Pickup, E. D. Cherotchenko, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, All-optical quantum fluid spin beam splitter, Phys. Rev. B 97, 235303 (2018).
  42. I. Gnusov, H. Sigurdsson, S. Baryshev, T. Ermatov, A. Askitopoulos, and P. G. Lagoudakis, Optical orientation, polarization pinning, and depolarization dynamics in optically confined polariton condensates, Phys. Rev. B 102, 125419 (2020).
  43. I. Gnusov, H. Sigurdsson, J. D. Töpfer, S. Baryshev, S. Alyatkin, and P. G. Lagoudakis, All-optical linear-polarization engineering in single and coupled exciton-polariton condensates, Phys. Rev. Appl. 16, 034014 (2021).
  44. L. Pickup, J. D. Töpfer, H. Sigurdsson, and P. G. Lagoudakis, Polariton spin jets through optical control, Phys. Rev. B 103, 155302 (2021).
  45. G. Panzarini, L. C. Andreani, A. Armitage, D. Baxter, M. S. Skolnick, V. N. Astratov, J. S. Roberts, A. V. Kavokin, M. R. Vladimirova, and M. A. Kaliteevski, Cavity-polariton dispersion and polarization splitting in single and coupled semiconductor microcavities, Phys. Solid State 41, 1223 (1999).
  46. E. Kammann, T. C. H. Liew, H. Ohadi, P. Cilibrizzi, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, A. V. Kavokin, and P. G. Lagoudakis, Nonlinear optical spin Hall effect and long-range spin transport in polariton lasers, Phys. Rev. Lett. 109, 036404 (2012).
  47. C. Antón, S. Morina, T. Gao, P. S. Eldridge, T. C. H. Liew, M. D. Martín, Z. Hatzopoulos, P. G. Savvidis, I. A. Shelykh, and L. Viña, Optical control of spin textures in quasi-one-dimensional polariton condensates, Phys. Rev. B 91, 075305 (2015).
  48. A. Kavokin, G. Malpuech, and M. Glazov, Optical spin Hall effect, Phys. Rev. Lett. 95, 136601 (2005).
  49. C. Leyder, M. Romanelli, J. P. Karr, E. Giacobino, T. C. H. Liew, M. M. Glazov, A. V. Kavokin, G. Malpuech, and A. Bramati, Observation of the optical spin Hall effect, Nat. Phys. 3, 628 (2007).
  50. M. Maragkou, C. E. Richards, T. Ostatnický, A. J. D. Grundy, J. Zajac, M. Hugues, W. Langbein, and P. G. Lagoudakis, Optical analogue of the spin Hall effect in a photonic cavity, Opt. Lett. 36, 1095 (2011).
  51. K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, and A. V. Zayats, Spin-orbit interactions of light, Nat. Photonics 9, 796 (2015).
  52. K. Lekenta, M. Król, R. Mirek, K. Łempicka, D. Stephan, R. Mazur, P. Morawiak, P. Kula, W. Piecek, P. G. Lagoudakis, B. Piętka, and J. Szczytko, Tunable optical spin Hall effect in a liquid crystal microcavity, Light Sci. Appl. 7, 74 (2018).
  53. K. Łempicka-Mirek, M. Król, H. Sigurdsson, A. Wincukiewicz, P. Morawiak, R. Mazur, M. Muszyński, W. Piecek, P. Kula, T. Stefaniuk, M. Kamińska, L. De Marco, P. G. Lagoudakis, D. Ballarini, D. Sanvitto, J. Szczytko, and B. Piȩtka, Electrically tunable Berry curvature and strong light-matter coupling in liquid crystal microcavities with 2D perovskite, Sci. Adv. 8, eabq7533 (2022).
  54. D. Aristov, H. Sigurdsson, and P. G. Lagoudakis, Screening nearest-neighbor interactions in networks of exciton-polariton condensates through spin-orbit coupling, Phys. Rev. B 105, 155306 (2022).
  55. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevB.108.L161301 for additional information on experimental details, TE-TM splitting and real space distribution of Sz component of the stokes vector from a single isolated polariton condensate; two dimensional spinor polariton model; theory of the threshold behaviour in a spin screened condensate triad; comparison with RKKY mechanism and discussion on the potential generation of spinor polariton vortical array, which also includes Refs. [56, 57, 59].
  56. M. Z. Maialle, E. A. de Andrada e Silva, and L. J. Sham, Exciton spin dynamics in quantum wells, Phys. Rev. B 47, 15776 (1993).
  57. V. Savona, Effect of interface disorder on quantum well excitons and microcavity polaritons, J. Phys.: Condens. Matter 19, 295208 (2007).
  58. P. Cilibrizzi, A. Askitopoulos, M. Silva, F. Bastiman, E. Clarke, J. M. Zajac, W. Langbein, and P. G. Lagoudakis, Polariton condensation in a strain-compensated planar microcavity with InGaAs quantum wells, Appl. Phys. Lett. 105, 191118 (2014).
  59. M. A. Ruderman and C. Kittel, Indirect exchange coupling of nuclear magnetic moments by conduction electrons, Phys. Rev. 96, 99 (1954).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation