- Letter
- Open Access
Ultrastrong coupling between THz phonons and photons caused by an enhanced vacuum electric field
Phys. Rev. Research 3, L032021 – Published 27 July, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L032021
Abstract
Ultrastrong coupling (USC) between phonons and vacuum photons can result in fascinating quantum phenomena, though it is difficult to achieve due to the small dipole moments of phonons in solids. Here, we investigate the vacuum Rabi splitting by coupling phonons in perovskite films with photons in split ring resonators. As the gap size of the resonator decreases, the coupling strength η increases due to the enhanced vacuum field in the gap, reaching the USC regime at a gap size of 100 nm. Our results show that nanoresonators are an excellent platform for studies of vacuum-dressed phonon properties.
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References (47)
- H. B. G. Casmir, On the attraction between two perfectly conducting plates, Proc. K. Ned. Akad. Wet. 51, 793 (1948).
- C. Riek, D. V Seletskiy, A. S. Moskalenko, J. F. Schmidt, P. Krauspe, S. Eckart, S. Eggert, G. Burkard, and A. Leitenstorfer, Direct sampling of electric-field vacuum fluctuations, Science 350, 420 (2015).
- I.-C. Benea-Chelmus, F. F. Settembrini, G. Scalari, and J. Faist, Electric field correlation measurements on the electromagnetic vacuum state, Nature 568, 202 (2019).
- M. Fox, Quantum Optics: An Introduction (Oxford University Press, Oxford, 2006).
- W. E. Lamb and R. C. Retherford, Fine structure of the hydrogen atom by a microwave method, Phys. Rev. 72, 241 (1947).
- F. J. Dyson, The electromagnetic shift of energy levels, Phys. Rev. 73, 617 (1948).
- S. K. Lamoreaux, Demonstration of the Casimir Force in the 0.6 to 6 μm Range, Phys. Rev. Lett. 78, 5 (1997).
- F. Chen, U. Mohideen, G. L. Klimchitskaya, and V. M. Mostepanenko, Demonstration of the Lateral Casimir Force, Phys. Rev. Lett. 88, 101801 (2002).
- R. Stassi, A. Ridolfo, O. Di Stefano, M. J. Hartmann, and S. Savasta, Spontaneous Conversion from Virtual to Real Photons in the Ultrastrong-Coupling Regime, Phys. Rev. Lett. 110, 243601 (2013).
- S. De Liberato, C. Ciuti, and I. Carusotto, Quantum Vacuum Radiation Spectra from a Semiconductor Microcavity with a Time-Modulated Vacuum Rabi Frequency, Phys. Rev. Lett. 98, 103602 (2007).
- I. Carusotto, S. De Liberato, D. Gerace, and C. Ciuti, Back-reaction effects of quantum vacuum in cavity quantum electrodynamics, Phys. Rev. A 85, 023805 (2012).
- G. Romero, D. Ballester, Y. M. Wang, V. Scarani, and E. Solano, Ultrafast Quantum Gates in Circuit QED, Phys. Rev. Lett. 108, 120501 (2012).
- P. Nataf and C. Ciuti, Protected Quantum Computation with Multiple Resonators in Ultrastrong Coupling Circuit QED, Phys. Rev. Lett. 107, 190402 (2011).
- Y. Wang, J. Zhang, C. Wu, J. Q. You, and G. Romero, Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED, Phys. Rev. A 94, 012328 (2016).
- J. A. Hutchison, T. Schwartz, C. Genet, E. Devaux, and T. W. Ebbesen, Modifying chemical landscapes by coupling to vacuum fields, Angew. Chem., Int. Ed. Engl. 51, 1592 (2012).
- A. Thomas, L. Lethuillier-Karl, K. Nagarajan, R. M. A. Vergauwe, J. George, T. Chervy, A. Shalabney, E. Devaux, C. Genet, J. Moran, and T. W. Ebbesen, Tilting a ground-state reactivity landscape by vibrational strong coupling, Science 363, 615 (2019).
- Y. Ashida, A. Imamoglu, J. Faist, D. Jaksch, A. Cavalleri, and E. Demler, Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition, Phys. Rev. X 10, 041027 (2020).
- S. Latini, D. Shin, S. A. Sato, C. Schäfer, U. De Giovannini, H. Hübener, and A. Rubio, The ferroelectric photo-groundstate of : Cavity materials engineering, arXiv:2101.11313 [cond-mat, physics:physics].
- A. F. Kockum, A. Miranowicz, S. De Liberato, S. Savasta, and F. Nori, Ultrastrong coupling between light and matter, Nat. Rev. Phys. 1, 19 (2019).
- G. Günter, A. A. Anappara, J. Hees, A. Sell, G. Biasiol, L. Sorba, S. De Liberato, C. Ciuti, A. Tredicucci, A. Leitenstorfer, and R. Huber, Sub-cycle switch-on of ultrastrong light–matter interaction, Nature 458, 178 (2009).
- S. Gambino, M. Mazzeo, A. Genco, O. Di Stefano, S. Savasta, S. Patanè, D. Ballarini, F. Mangione, G. Lerario, D. Sanvitto, and G. Gigli, Exploring light–matter interaction phenomena under ultrastrong coupling regime, ACS Photon. 1, 1042 (2014).
- F. Todisco, M. De Giorgi, M. Esposito, L. De Marco, A. Zizzari, M. Bianco, L. Dominici, D. Ballarini, V. Arima, G. Gigli, and D. Sanvitto, Ultrastrong plasmon–exciton coupling by dynamic molecular aggregation, ACS Photon. 5, 143 (2018).
- J. Mornhinweg, M. Halbhuber, C. Ciuti, D. Bougeard, R. Huber, and C. Lange, Tailored Subcycle Nonlinearities of Ultrastrong Light-Matter Coupling, Phys. Rev. Lett. 126, 177404 (2021).
- D. J. Shelton, I. Brener, J. C. Ginn, M. B. Sinclair, D. W. Peters, K. R. Coffey, and G. D. Boreman, Strong coupling between nanoscale metamaterials and phonons, Nano Lett. 11, 2104 (2011).
- X. Jin, A. Cerea, G. C. Messina, A. Rovere, R. Piccoli, F. De Donato, F. Palazon, A. Perucchi, P. Di Pietro, R. Morandotti, S. Lupi, F. De Angelis, M. Prato, A. Toma, and L. Razzari, Reshaping the phonon energy landscape of nanocrystals inside a terahertz plasmonic nanocavity, Nat. Commun. 9, 763 (2018).
- R. Damari, O. Weinberg, D. Krotkov, N. Demina, K. Akulov, A. Golombek, T. Schwartz, and S. Fleischer, Strong coupling of collective intermolecular vibrations in organic materials at terahertz frequencies, Nat. Commun. 10, 3248 (2019).
- H. S. Kim, N. Y. Ha, J.-Y. Park, S. Lee, D.-S. Kim, and Y. H. Ahn, Phonon-polaritons in lead halide perovskite film hybridized with THz metamaterials, Nano Lett. 20, 6690 (2020).
- Q. Zhang, M. Lou, X. Li, J. L. Reno, W. Pan, J. D. Watson, M. J. Manfra, and J. Kono, Collective non-perturbative coupling of 2D electrons with high-quality-factor terahertz cavity photons, Nat. Phys. 12, 1005 (2016).
- W. Gao, X. Li, M. Bamba, and J. Kono, Continuous transition between weak and ultrastrong coupling through exceptional points in carbon nanotube microcavity exciton–polaritons, Nat. Photon. 12, 362 (2018).
- T. Handa, T. Yamada, M. Nagai, and Y. Kanemitsu, Phonon, thermal, and thermo-optical properties of halide perovskites, Phys. Chem. Chem. Phys. 22, 26069 (2020).
- F. Sekiguchi, H. Hirori, G. Yumoto, A. Shimazaki, T. Nakamura, A. Wakamiya, and Y. Kanemitsu, Enhancing the Hot-Phonon Bottleneck Effect in a Metal Halide Perovskite by Terahertz Phonon Excitation, Phys. Rev. Lett. 126, 077401 (2021).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L032021, which includes Refs. [25, 26, 27, 28, 33, 34, 35], for details of the sample preparation, the transmission spectra of all SRRs coated by thin film, and the eigenvalue problem of the full Hopfield Hamiltonian.
- C. Maissen, G. Scalari, F. Valmorra, M. Beck, J. Faist, S. Cibella, R. Leoni, C. Reichl, C. Charpentier, and W. Wegscheider, Ultrastrong coupling in the near field of complementary split-ring resonators, Phys. Rev. B 90, 205309 (2014).
- G. Scalari, C. Maissen, D. Turčinková, D. Hagenmüller, S. De Liberato, C. Ciuti, C. Reichl, D. Schuh, W. Wegscheider, M. Beck, and J. Faist, Ultrastrong coupling of the cyclotron transition of a 2D electron gas to a THz metamaterial, Science 335, 1323 (2012).
- D. Hagenmüller, S. De Liberato, and C. Ciuti, Ultrastrong coupling between a cavity resonator and the cyclotron transition of a two-dimensional electron gas in the case of an integer filling factor, Phys. Rev. B 81, 235303 (2010).
- R. Ulbricht, E. Hendry, J. Shan, T. F. Heinz, and M. Bonn, Carrier dynamics in semiconductors studied with time-resolved terahertz spectroscopy, Rev. Mod. Phys. 83, 543 (2011).
- W. J. Padilla, A. J. Taylor, C. Highstrete, M. Lee, and R. D. Averitt, Dynamical Electric and Magnetic Metamaterial Response at Terahertz Frequencies, Phys. Rev. Lett. 96, 107401 (2006).
- Y. Mukai, H. Hirori, T. Yamamoto, H. Kageyama, and K. Tanaka, Nonlinear magnetization dynamics of antiferromagnetic spin resonance induced by intense terahertz magnetic field, New J. Phys. 18, 013045 (2016).
- N. Kim, S. In, D. Lee, J. Rhie, J. Jeong, D.-S. Kim, and N. Park, Colossal terahertz field enhancement using split-ring resonators with a sub-10 nm gap, ACS Photon. 5, 278 (2018).
- C. La-o-vorakiat, H. Xia, J. Kadro, T. Salim, D. Zhao, T. Ahmed, Y. M. Lam, J.-X. Zhu, R. A. Marcus, M.-E. Michel-Beyerle, and E. E. M. Chia, Phonon mode transformation across the orthohombic-tetragonal phase transition in a lead iodide perovskite : A terahertz time-domain spectroscopy approach, J. Phys. Chem. Lett. 7, 1 (2016).
- M. Sendner, P. K. Nayak, D. A. Egger, S. Beck, C. Müller, B. Epding, W. Kowalsky, L. Kronik, H. J. Snaith, A. Pucci, and R. Lovrinčić, Optical phonons in methylammonium lead halide perovskites and implications for charge transport, Mater. Horiz. 3, 613 (2016).
- M. Nagai, T. Tomioka, M. Ashida, M. Hoyano, R. Akashi, Y. Yamada, T. Aharen, and Y. Kanemitsu, Longitudinal Optical Phonons Modified by Organic Molecular Cation Motions in Organic-Inorganic Hybrid Perovskites, Phys. Rev. Lett. 121, 145506 (2018).
- Y. Sanari, T. Tachizaki, Y. Saito, K. Makino, P. Fons, A. V. Kolobov, J. Tominaga, K. Tanaka, Y. Kanemitsu, M. Hase, and H. Hirori, Zener Tunneling Breakdown in Phase-Change Materials Revealed by Intense Terahertz Pulses, Phys. Rev. Lett. 121, 165702 (2018).
- R. W. Boyd and D. Prato, Nonlinear Optics, 3rd ed. (Academic, New York, 2008).
- M. Geiser, F. Castellano, G. Scalari, M. Beck, L. Nevou, and J. Faist, Ultrastrong Coupling Regime and Plasmon Polaritons in Parabolic Semiconductor Quantum Wells, Phys. Rev. Lett. 108, 106402 (2012).
- I.-C. Benea-Chelmus, Y. Salamin, F. F. Settembrini, Y. Fedoryshyn, W. Heni, D. L. Elder, L. R. Dalton, J. Leuthold, and J. Faist, Electro-optic interface for ultrasensitive intracavity electric field measurements at microwave and terahertz frequencies, Optica 7, 498 (2020).
- Y. Bahk, S. Han, J. Rhie, J. Park, H. Jeon, N. Park, and D. Kim, Ultimate terahertz field enhancement of single nanoslits, Phys. Rev. B 95, 075424 (2017).