{"id":162394,"date":"2023-04-18T02:24:11","date_gmt":"2023-04-18T07:24:11","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2023\/04\/room-temperature-superfluidity-in-a-polariton-condensate-physics"},"modified":"2023-04-18T02:24:11","modified_gmt":"2023-04-18T07:24:11","slug":"room-temperature-superfluidity-in-a-polariton-condensate-physics","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2023\/04\/room-temperature-superfluidity-in-a-polariton-condensate-physics","title":{"rendered":"Room-temperature superfluidity in a polariton condensate Physics"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/room-temperature-superfluidity-in-a-polariton-condensate-physics2.jpg\"><\/a><\/p>\n<p> <span class=\"wp-smiley emoji emoji-face_with_colon_three\" title=\":3\">face_with_colon_three<\/span> year 2017.<\/p>\n<hr>\n<p>First observed in liquid helium below the lambda point, superfluidity manifests itself in a number of fascinating ways. In the superfluid phase, helium can creep up along the walls of a container, boil without bubbles, or even flow without friction around obstacles. As early as 1938, Fritz London suggested a link between superfluidity and Bose\u2013Einstein condensation (BEC)<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 3\" title=\"London, F. The \u03bb-phenomenon of liquid helium and the Bose-Einstein degeneracy. Nature 141643&ndash;644 (1938).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR3\" id=\"ref-link-section-d102013590e536\">3<\/a><\/sup>. Indeed, superfluidity is now known to be related to the finite amount of energy needed to create collective excitations in the quantum liquid<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 4\" title=\"Allen, J. F. & Misener, A. D. Flow of liquid helium II. Nature 141, 75 (1938).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR4\" id=\"ref-link-section-d102013590e540\">4<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 5\" title=\"Kapitza, P. Viscosity of liquid helium below the \u03bb-point. Nature 141, 74 (1938).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR5\" id=\"ref-link-section-d102013590e543\">5<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 6\" title=\"Landau, L. Theory of the superfluidity of helium II. Phys. Rev. 60356&ndash;358 (1941).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR6\" id=\"ref-link-section-d102013590e546\">6<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 7\" title=\"Landau, L. On the theory of superfluidity. Phys. Rev. 75884&ndash;885 (1949).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR7\" id=\"ref-link-section-d102013590e549\">7<\/a><\/sup>, and the link proposed by London was further evidenced by the observation of superfluidity in ultracold atomic BECs<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 1\" title=\"Onofrio, R. et al. Observation of superfluid flow in a Bose-Einstein condensed gas. Phys. Rev. Lett. 85, 2228&ndash;2231 (2000).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR1\" id=\"ref-link-section-d102013590e553\">1<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 8\" title=\"Desbuquois, R. et al. Superfluid behaviour of a two-dimensional Bose gas. Nat. Phys. 8645&ndash;648 (2012).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR8\" id=\"ref-link-section-d102013590e556\">8<\/a><\/sup>. A quantitative description is given by the Gross\u2013Pitaevskii (GP) equation<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 9\" title=\"Gross, E. P. Structure of a quantized vortex in boson systems. Il Nuovo Cimento 20454&ndash;477 (1961).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR9\" id=\"ref-link-section-d102013590e560\">9<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 10\" title=\"Pitaevskii, L. P. Vortex lines in an imperfect Bose gas. Sov. Phys. JETP 13451&ndash;454 (1961).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR10\" id=\"ref-link-section-d102013590e563\">10<\/a><\/sup> (see <a data-track=\"click\" data-track-label=\"link\" data-track-action=\"section anchor\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#Sec2\">Methods<\/a>) and the perturbation theory for elementary excitations developed by Bogoliubov<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 11\" title=\"Pitaevskii, L. P. & Stringari, S. Bose-Einstein Condensation (No. 116 in Oxford Science Publications, Clarendon Press, 2003).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR11\" id=\"ref-link-section-d102013590e571\">11<\/a><\/sup>. First derived for atomic condensates, this theory has since been successfully applied to a variety of systems, and the mathematical framework of the GP equation naturally leads to important analogies between BEC and nonlinear optics<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 12\" title=\"Chiao, R. Y. & Boyce, J. Bogoliubov dispersion relation and the possibility of superfluidity for weakly interacting photons in a two-dimensional photon fluid. Phys. Rev. A 60, 4114&ndash;4121 (1999).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR12\" id=\"ref-link-section-d102013590e575\">12<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 13\" title=\"Bolda, E. L., Chiao, R. Y. & Zurek, W. H. Dissipative optical flow in a nonlinear Fabry&ndash;P\u00e9rot cavity. Phys. Rev. Lett. 86416&ndash;419 (2001).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR13\" id=\"ref-link-section-d102013590e578\">13<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 14\" title=\"Carusotto, I. & Ciuti, C. Quantum fluids of light. Rev. Mod. Phys. 85299&ndash;366 (2013).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR14\" id=\"ref-link-section-d102013590e581\">14<\/a><\/sup>. Recently, it has been extended to include condensates out of thermal equilibrium, like those composed of interacting photons or bosonic quasiparticles such as microcavity exciton-polaritons and magnons<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 14\" title=\"Carusotto, I. & Ciuti, C. Quantum fluids of light. Rev. Mod. Phys. 85299&ndash;366 (2013).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR14\" id=\"ref-link-section-d102013590e585\">14<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 15\" title=\"Carusotto, I. & Ciuti, C. Probing microcavity polariton superfluidity through resonant Rayleigh scattering. Phys. Rev. Lett. 93, 166401 (2004).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR15\" id=\"ref-link-section-d102013590e588\">15<\/a><\/sup>. In particular, for exciton-polaritons, the observation of many-body effects related to condensation and superfluidity such as the excitation of quantized vortices, the formation of metastable currents and the suppression of scattering from potential barriers<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 2\" title=\"Amo, A. et al. Superfluidity of polaritons in semiconductor microcavities. Nat. Phys. 5805&ndash;810 (2009).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR2\" id=\"ref-link-section-d102013590e592\">2<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 16\" title=\"Lagoudakis, K. G. et al. Quantized vortices in an exciton&ndash;polariton condensate. Nat. Phys. 4706&ndash;710 (2008).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR16\" id=\"ref-link-section-d102013590e595\">16<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 17\" title=\"Sanvitto, D. et al. Persistent currents and quantized vortices in a polariton superfluid. Nat. Phys. 6527&ndash;533 (2010).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR17\" id=\"ref-link-section-d102013590e598\">17<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 18\" title=\"Nardin, G. et al. Hydrodynamic nucleation of quantized vortex pairs in a polariton quantum fluid. Nat. Phys. 7635&ndash;641 (2011).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR18\" id=\"ref-link-section-d102013590e601\">18<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 19\" title=\"Sanvitto, D. et al. All-optical control of the quantum flow of a polariton condensate. Nat. Photon. 5610&ndash;614 (2011).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR19\" id=\"ref-link-section-d102013590e604\">19<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 20\" title=\"Amo, A. et al. Polariton superfluids reveal quantum hydrodynamic solitons. Science 332, 1167&ndash;1170 (2011).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR20\" id=\"ref-link-section-d102013590e607\">20<\/a><\/sup> have shown the rich phenomenology that exists within non-equilibrium condensates. Polaritons are confined to two dimensions and the reduced dimensionality introduces an additional element of interest for the topological ordering mechanism leading to condensation, as recently evidenced in ref. <a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 21\" title=\"Caputo, D. et al. Topological order and equilibrium in a condensate of exciton-polaritons. Preprint at http:\/\/arXiv.org\/abs\/1610.05737 (2016).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR21\" id=\"ref-link-section-d102013590e610\">21<\/a>. However, until now, such phenomena have mainly been observed in microcavities embedding quantum wells of III\u2013V or II\u2013VI semiconductors. As a result, experiments must be performed at low temperatures (below \u223c 20 K), beyond which excitons autoionize. This is a consequence of the low binding energy typical of Wannier\u2013Mott excitons. Frenkel excitons, which are characteristic of organic semiconductors, possess large binding energies that readily allow for strong light\u2013matter coupling and the formation of polaritons at room temperature. Remarkably, in spite of weaker interactions as compared to inorganic polaritons<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 22\" title=\"Lerario, G. et al. High-speed flow of interacting organic polaritons. Light: Science & Applications 6, e16212 (2017).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR22\" id=\"ref-link-section-d102013590e614\">22<\/a><\/sup>, condensation and the spontaneous formation of vortices have also been observed in organic microcavities<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 23\" title=\"Plumhof, J. D., St\u00f6ferle, T., Mai, L., Scherf, U. & Mahrt, R. F. Room-temperature Bose&ndash;Einstein condensation of cavity exciton-polaritons in a polymer. Nat. Mater. 13247&ndash;252 (2013).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR23\" id=\"ref-link-section-d102013590e619\">23<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 24\" title=\"Daskalakis, K. S., Maier, S. A., Murray, R. & K\u00e9na-Cohen, S. Nonlinear interactions in an organic polariton condensate. Nat. Mater. 13271&ndash;278 (2014).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR24\" id=\"ref-link-section-d102013590e622\">24<\/a>,<a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 25\" title=\"Daskalakis, K., Maier, S. & K\u00e9na-Cohen, S. Spatial coherence and stability in a disordered organic polariton condensate. Phys. Rev. Lett. 115, 035301 (2015).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR25\" id=\"ref-link-section-d102013590e625\">25<\/a><\/sup>. However, the small polariton\u2013polariton interaction constants, structural inhomogeneity and short lifetimes in these structures have until now prevented the observation of behaviour directly related to the quantum fluid dynamics (such as superfluidity). In this work, we show that superfluidity can indeed be achieved at room temperature and this is, in part, a result of the much larger polariton densities attainable in organic microcavities, which compensate for their weaker nonlinearities.<\/p>\n<p>Our sample consists of an optical microcavity composed of two dielectric mirrors surrounding a thin film of 2,7-Bis[9,9-di(4-methylphenyl)-fluoren-2-yl]-9,9-di(4-methylphenyl)fluorene (TDAF) organic molecules. Light\u2013matter interaction in this system is so strong that it leads to the formation of hybrid light\u2013matter modes (polaritons), with a Rabi energy 2 <i>\u03a9<\/i><sub>R<\/sub> \u223c 0.6 eV. A similar structure has been used previously to demonstrate polariton condensation under high-energy non-resonant excitation<sup><a data-track=\"click\" data-track-action=\"reference anchor\" data-track-label=\"link\" data-test=\"citation-ref\" aria-label=\"Reference 24\" title=\"Daskalakis, K. S., Maier, S. A., Murray, R. & K\u00e9na-Cohen, S. Nonlinear interactions in an organic polariton condensate. Nat. Mater. 13271&ndash;278 (2014).\" href=\"https:\/\/www.nature.com\/articles\/nphys4147#ref-CR24\" id=\"ref-link-section-d102013590e636\">24<\/a><\/sup>. Upon resonant excitation, it allows for the injection and flow of polaritons with a well-defined density, polarization and group velocity.<\/p>\n<p>The experimental configuration is shown in Fig. 1a. The sample is positioned between two microscope objectives to allow for measurements in a transmission geometry while maintaining high spatial resolution. A polariton wavepacket with a chosen wavevector is created by exciting the sample with a linearly polarized 35 fs laser pulse resonant with the lower polariton branch (see Methods). By detecting the reflected or transmitted light using a spectrometer and a charge-coupled device (CCD) camera, energy-resolved space and momentum maps can be acquired. An example of the experimental polariton dispersion under white light illumination is shown in Fig. 1b. The parabolic TE-and TM-polarized lower polariton branches appear as dips in the reflectance spectra. The figure also shows an example of how the laser energy, momentum and polarization can be precisely tuned to excite, in this case, the TE lower polariton branch at a given angle.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>face_with_colon_three year 2017. First observed in liquid helium below the lambda point, superfluidity manifests itself in a number of fascinating ways. In the superfluid phase, helium can creep up along the walls of a container, boil without bubbles, or even flow without friction around obstacles. As early as 1938, Fritz London suggested a link between [\u2026]<\/p>\n","protected":false},"author":513,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1497,41,1965,2229,1617,8],"tags":[],"class_list":["post-162394","post","type-post","status-publish","format-standard","hentry","category-energy","category-information-science","category-mapping","category-mathematics","category-quantum-physics","category-space"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/162394","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/513"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=162394"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/162394\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=162394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=162394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=162394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}