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Photonics Initiative, Advanced Science Research Center, The City University of New York, 85 St. Nicholas Terrace, New York 10031, USA
Department of Electrical Engineering, City College, The City University of New York, 160 Convent Avenue, New York 10031, USA
Physics Program, The Graduate Center, The City University of New York, 365 Fifth Avenue, New York 10016, USA
*aalu@gc.cuny.edu
Published:2022-12,
Published Online:19 May 2022,
Received:05 March 2022,
Revised:07 April 2022,
Accepted:11 April 2022
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Shixiong Yin, Emanuele Galiffi, Andrea Alù. Floquet metamaterials. [J]. eLight, 2022,2(1).
Shixiong Yin, Emanuele Galiffi, Andrea Alù. Floquet metamaterials. [J]. eLight, 2022,2(1). DOI: 10.1186/s43593-022-00015-1.
Recent progress in nanophotonics and material science has inspired a strong interest in optically-induced material dynamics
opening new research directions in the distinct fields of Floquet matter and time metamaterials. Floquet phenomena are historically rooted in the condensed matter community
as they exploit periodic temporal drives to unveil novel phases of matter
unavailable in systems at equilibrium. In parallel
the field of metamaterials has been offering a platform for exotic wave phenomena based on tailored materials at the nanoscale
recently enhanced by incorporating time variations and switching as new degrees of freedom. In this Perspective
we connect these research areas and describe the exciting opportunities emerging from their synergy
hinging on giant wave-matter interactions enabled by metamaterials and on the exotic wave dynamics enabled by Floquet and parametric phenomena. We envision Floquet metamaterials in which nontrivial modulation dynamics
and their interplay with tailored material dispersion and nontrivial material properties such as anisotropy
non-Hermiticity and nonreciprocity
introduce a plethora of novel opportunities for wave manipulation and control.
FloquetMetamaterialsTimeSwitching
J.B. Pendry, Negative refraction makes a perfect lens. Phys. Rev. Lett. 85, 3966-3969 (2000)
N. Engheta, R.W. Ziolkowski, Metamaterials: physics and engineering explorations (Wiley, 2006)
A. Alù, M.G. Silveirinha, A. Salandrino, N. Engheta, Epsilon-near-zero metamaterials and electromagnetic sources: tailoring the radiation phase pattern. Phys. Rev. B 75, 155410 (2007)
I. Liberal, M. Lobet, Y. Li, N. Engheta, Near-zero-index media as electromagnetic ideal fluids. Proc. Natl. Acad. Sci. 117, 24050-24054 (2020)
A. Alù, N. Engheta, Achieving transparency with plasmonic and metamaterial coatings. Phys. Rev. E 72, 016623 (2005)
J.B. Pendry, D. Schurig, D.R. Smith, Controlling electromagnetic fields. Science 312, 1780-1782 (2006)
Passler, N. et al. Hyperbolic shear polaritons in low-symmetry crystals. Nature 602, 595-600 (2022)
A.B. Khanikaev, S. Hossein Mousavi, W.K. Tse, M. Kargarian, A.H. Mac-Donald, G. Shvets, Photonic topological insulators. Nat. Mater. 12(3), 233-239 (2013)
N. Yu, F. Capasso, Flat optics with designer metasurfaces. Nat. Mater. 13, 139-150 (2014)
A.M. Shaltout, V.M. Shalaev, M.L. Brongersma, Spatiotemporal light control with active metasurfaces. Science 364, eaat3100 (2019)
D.L. Sounas, A. Alù, Non-reciprocal photonics based on time modulation. Nat. Photonics 11, 774-783 (2017)
P.A. Huidobro, E. Galiffi, S. Guenneau, R.V. Craster, J.B. Pendry, Fresnel drag in space–time-modulated metamaterials. Proc. Natl. Acad. Sci. 116, 24943-24948 (2019)
E. Lustig, M. Segev, Y. Sharabi, Topological aspects of photonic time crystals. Optica 5(11), 1390-1395 (2018)
R. Fleury, A.B. Khanikaev, A. Alù, Floquet topological insulators for sound. Nat. Commun. 7, 1-11 (2016)
A. Darabi, X. Ni, M. Leamy, A. Alù, Reconfigurable Floquet elastodynamic topological insulator based on synthetic angular momentum bias. Sci. Adv. 6, eaba8656 (2020)
Y.G. Peng, C.Z. Qin, D.G. Zhao, Y.X. Shen, X.Y. Xu, M. Bao et al., Experimental demonstration of anomalous Floquet topological insulator for sound. Nat Commun 7(1), 1-8 (2016)
Q. Lin, M. Xiao, L. Yuan, S. Fan, Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension. Nat. Commun. 7, 1-7 (2016)
E. Galiffi, P.A. Huidobro, J.B. Pendry, Broadband nonreciprocal amplification in luminal metamaterials. Phys. Rev. Lett. 123(20), 206101 (2019)
E. Galiffi et al., Photonics of time-varying media. Adv. Photonics 4, 014002 (2022)
K.S. Novoselov, A. Mishchenko, A. Carvalho, A.H.C. Neto, 2D materials and van der Waals heterostructures. Science 353, aac9439 (2016)
Y. Cao et al., Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43-50 (2018)
P. Rickhaus et al., Correlated electron-hole state in twisted doublebilayer graphene. Science 373, 1257-1260 (2021)
M.Z. Hasan, C.L. Kane, Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045 (2010)
C.M. Bender, S. Boettcher, Real spectra in non-Hermitian Hamiltonians having P T symmetry. Phys. Rev. Lett. 80, 5243 (1998)
D.A. Abanin, E. Altman, I. Bloch, M. Serbyn, Colloquium: Many-body localization, thermalization, and entanglement. Rev. Mod. Phys. 91, 21001 (2019)
P.L. Kapitza, Dynamical stability of a pendulum when its point of suspension vibrates, and Pendulum with a vibrating suspension. Collect. Pap. PL Kapitza 2, 714-737 (1965)
S. Wimberger, I. Guarneri, S. Fishman, Classical Scaling Theory of Quantum Resonances. Phys. Rev. Lett. 92, 084102 (2004)
A. Cartella, T.F. Nova, M. Fechner, R. Merlin, A. Cavalleri, Parametric amplification of optical phonons. Proc. Natl. Acad. Sci. 115, 12148-12151 (2018)
A.S. Disa, T.F. Nova, A. Cavalleri, Engineering crystal structures with light. Nat. Phys 17, 1087-1092 (2021)
M.S. Rudner, N.H. Lindner, Band structure engineering and non-equilibrium dynamics in Floquet topological insulators. Nat. Rev. Phys. 2, 229-244 (2020)
A. Dutt, et al. Experimental band structure spectroscopy along a synthetic dimension. Nat. Commun. 10, 3122 (2019). https://www.nature.com/articles/s41467-019-11117-9https://www.nature.com/articles/s41467-019-11117-9
T.T. Koutserimpas, R. Fleury, Electromagnetic fields in a time-varying medium: exceptional points and operator symmetries. IEEE Trans. Antennas Propag. 68, 6717-6724 (2020)
F.L. Moore, J.C. Robinson, C. Bharucha, P.E. Williams, M.G. Raizen, Observation of dynamical localization in atomic momentum transfer: a new testing ground for quantum chaos. Phys. Rev. Lett. 73, 2974 (1994)
D. Fausti et al., Light-induced superconductivity in a stripe-ordered cuprate. Science 331, 189-191 (2011)
X. Mi et al., Time-crystalline eigenstate order on a quantum processor. Nature 601, 531-536 (2022)
Getting Light to Bend Backwards|NSF—National Science Foundation. https://www.nsf.gov/news/news_summ.jsp?org=EEC&cntn_id=110442&preview=falsehttps://www.nsf.gov/news/news_summ.jsp?org=EEC&cntn_id=110442&preview=false.
T. Oka, S. Kitamura, Floquet engineering of quantum materials. Annu. Rev. Condens. Matter Phys. 10, 387-408 (2019)
A. Dutt et al., A single photonic cavity with two independent physicalsynthetic dimensions. Science 367, 59-64 (2020)
J.K. Asbóth, L. Oroszlány, A. Pályi, A short course on topological insulators. Lect. notes Phys. 919, 166 (2016)
M.B. Dahan, E. Peik, J. Reichel, Y. Castin, C. Salomon, Bloch oscillations of atoms in an optical potential. Phys. Rev. Lett. 76, 4508 (1996)
J.W. Mclver et al., Light-induced anomalous Hall effect in graphene. Nat. Phys. 16, 38-41 (2020)
J.-Y. Shan et al., Giant modulation of optical nonlinearity by Floquet engineering. Nature 600, 235-239 (2021)
X. Ni, S. Kim, A. Alù, Topological insulator in two synthetic dimensions based on an optomechanical resonator. Optica 8, 1024-1032 (2021)
M.C. Rechtsman, J.M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow et al., Photonic Floquet topological insulators. Nature 496(7444), 196-200 (2013)
Pyrialakos, G. G., Beck, J., Heinrich, M., Maczewsky, L. J., Kantartzis, N. V., Khajavikhan, M., et al. Bimorphic Floquet topological insulators. arXiv preprint arXiv: 2202. 08076 (2022).
M.A. Bandres, S. Wittek, G. Harari, M. Parto, J. Ren, M. Segev et al., Topological insulator laser: experiments. Science 359(6381), eaar4005 (2018)
S.K. Ivanov, Y. Zhang, Y.V. Kartashov, D.V. Skryabin, Floquet topological insulator laser. APL Photonics 4(12), 126101 (2019)
S. Mukherjee, M.C. Rechtsman, Observation of Floquet solitons in a topological bandgap. Science 368(6493), 856-859 (2020)
W. Zhu, H. Xue, J. Gong, Y. Chong, B. Zhang, Time-periodic corner states from Floquet higher-order topology. Nat. Commun. 13(1), 1-6 (2022)
M. Hafezi, E.A. Demler, M.D. Lukin, J.M. Taylor, Robust optical delay lines with topological protection. Nat. Phys. 7(11), 907-912 (2011)
Mirmoosa, M. S., Koutserimpas, T. T., Ptitcyn, G. A., Tretyakov, S. A. & Fleury, R. Dipole polarizability of time-varying particles. arXiv: 2002. 12297 [physics.app-ph] (2020).
Galiffi, E., Huidobro, P. A. & Pendry, B J.. An Archimedes' Screw for Light. (2021). arXiv: 2109. 14460. https://doi.org/10.48550/arXiv.2109.14460https://doi.org/10.48550/arXiv.2109.14460
H. Li, S. Yin, E. Galiffi, A. Alù, Temporal parity-time symmetry for extreme energy transformations. Phys. Rev. Lett. 127, 153903 (2021)
Z. Chen, Y. Peng, H. Li, J. Liu, Y. Ding, B. Liang et al., Efficient nonreciprocal mode transitions in spatiotemporally modulated acoustic metamaterials. Sci. Adv. 7(45), eabj1198 (2021)
N. Engheta, Metamaterials with high degrees of freedom: Space, time, and more. Nanophotonics 10, 639-642 (2021)
R. Morgenthaler, Velocity modulation of electromagnetic waves. IRE Trans. Microw. Theory Tech. 6, 167-172 (1958). https://doi.org/10.1109/TMTT.1958.1124533https://doi.org/10.1109/TMTT.1958.1124533
B.A. Auld, J.H. Collins, H.R. Zapp, Signal processing in a nonperiodically time-varying magnetoelastic medium. Proc. IEEE 56, 258-272 (1968)
R.L. Fante, Transmission of electromagnetic waves into time-varying media. IEEE Trans. Antennas Propag. A P‑19, 417-424 (1971)
J.T. Mendonça, A.M. Martins, A. Guerreiro, Temporal beam splitter and temporal interference. Phys. Rev. A 68, 043801 (2003)
Y. Xiao, D.N. Maywar, G.P. Agrawal, Reflection and transmission of electromagnetic waves at a temporal boundary. Opt. Lett. 39, 574 (2014)
E. Yablonovitch, Spectral broadening in the light transmitted through a rapidly growing plasma. Phys. Rev. Lett. 31, 877-879 (1973)
S.C. Wilks, J.M. Dawson, W.B. Mori, Frequency up-conversion of electromagnetic radiation with use of an overdense plasma. Phys. Rev. Lett. 61, 337-340 (1988)
K. Lee et al., Linear frequency conversion via sudden merging of metaatoms in time-variant metasurfaces. Nat. Photonics 12, 765-773 (2018)
Y. Zhou et al., Broadband frequency translation through time refraction in an epsilon-near-zero material. Nat. Commun. 11, 1-7 (2020)
J. Tunesi et al., Terahertz emission mediated by ultrafast time-varying metasurfaces. Phys. Rev. Res. 3, L042006 (2021)
V. Pacheco-Peña, N. Engheta, Antireflection temporal coatings. Optica 7, 323-331 (2020)
G. Castaldi, V. Pacheco-Peña, M. Moccia, N. Engheta, V. Galdi, Exploiting space-time duality in the synthesis of impedance transformers via temporal metamaterials. Nanophotonics 10, 3687-3699 (2021)
A. Akbarzadeh, N. Chamanara, C. Caloz, Inverse prism based on temporal discontinuity and spatial dispersion. Opt. Lett. 43, 3297 (2018)
V. Pacheco-Peña, N. Engheta, Temporal aiming. Light Sci. Appl. 9, 1-12 (2020)
V. Pacheco-Peña, N. Engheta, Temporal equivalent of the Brewster angle. Phys. Rev. B 104, 214308 (2021)
Pacheco-Peña, V., Engheta, N. Temporal metamaterials with gain and loss. arXiv: 2108. 01007 [physics.optics] (2021).
M.M. Idemen, Discontinuities in the electromagnetic field (Wiley, 2011)
D.K. Kalluri, Electromagnetics of time varying complex media: frequency and polarization transformer (CRC Press, 2010)
S.I. Pekar, The theory of electromagnetic waves in a crystal in which excitons are produced. Sov. Phys. JETP 6, 785 (1958)
Halevi, P. Spatial dispersion in solids and plasmas. vol. 1 (North Holland, 1992).
K. Henneberger, Additional boundary conditions: an historical mistake. Phys. Rev. Lett. 80, 2889-2892 (1998)
D.F. Nelson, B. Chen, Comment on "additional boundary conditions: an historical mistake."Phys. Rev. Lett. 83, 1263 (1999)
A.A. Orlov, P.M. Voroshilov, P.A. Belov, Y.S. Kivshar, Engineered optical nonlocality in nanostructured metamaterials. Phys. Rev. B 84, 45424 (2011)
W. Yan, M. Wubs, N.A. Mortensen, Hyperbolic metamaterials: nonlocal response regularizes broadband supersingularity. Phys. Rev. B 86, 205429 (2012)
A. Poddubny, I. Iorsh, P. Belov, Y. Kivshar, Hyperbolic metamaterials. Nat. Photonics 7, 948-957 (2013)
M.G. Silveirinha, Additional boundary condition for the wire medium. IEEE Trans. Antennas Propag. 54, 1766-1780 (2006)
M.G. Silveirinha, Additional boundary conditions for nonconnected wire media. New J. Phys. 11, 113016 (2009)
M.G. Silveirinha, C.A. Fernandes, J.R. Costa, Additional boundary condition for a wire medium connected to a metallic surface. New J. Phys. 10, 053011 (2008)
M.I. Bakunov, A.V. Maslov, Reflection and transmission of electromagnetic waves at a temporal boundary: comment. Opt. Lett. 39, 6029 (2014)
D.M. Solís, R. Kastner, N. Engheta, Time-varying materials in the presence of dispersion: plane-wave propagation in a Lorentzian medium with temporal discontinuity. Photonics Res. 9, 1842 (2021)
J. Gratus, R. Seviour, P. Kinsler, D.A. Jaroszynski, Temporal boundaries in electromagnetic materials. New J. Phys. 23, 083032 (2021)
M.I. Bakunov, A.V. Shirokova, M.A. Kurnikov, A.V. Maslov, Light scattering at a temporal boundary in a Lorentz medium. Opt. Lett. 46, 4988 (2021)
M.Z. Alam, I. De Leon, R.W. Boyd, Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region. Science 352, 795-797 (2016)
D.N. Basov, M.M. Fogler, F.J. García De Abajo, Polaritons in van der Waals materials. Science 354, aaj1992 (2016)
Mann, S. A. et al. Ultrafast optical switching and power limiting in intersubband polaritonic metasurfaces. Optica 8, 606-613 (2021)
J. Yu et al., Electrically tunable nonlinear polaritonic metasurface. Nat. Photonics 16, 72-78 (2022)
F. Miyamaru et al., Ultrafast frequency-shift dynamics at temporal boundary induced by structural-dispersion switching of waveguides. Phys. Rev. Lett. 127, 053902 (2021)
S. Yin, A. Alù, Efficient phase conjugation in a space-time leaky waveguide. ACS Photonics 9(3), 979-984 (2022)
S. Vezzoli, V. Bruno, C. DeVault, T. Roger, V.M. Shalaev, A. Boltasseva et al., Optical time reversal from time-dependent epsilon-near-zero media. Phys Rev Lett 120 (4), 043902 (2018)
V. Bacot, M. Labousse, A. Eddi, M. Fink, E. Fort, Time reversal and holography with spacetime transformations. Nat. Phys. 12, 972-977 (2016)
B. Apffel, E. Fort, Frequency conversion cascade by crossing multiple space and time interfaces. Phys. Rev. Lett. 128, 064501 (2022)
C. Croënne, J.O. Vasseur, O. Bou Matar, A.-C. Hladky-Hennion, B. Dubus, Non-reciprocal behavior of one-dimensional piezoelectric structures with space-time modulated electrical boundary conditions. J. Appl. Phys. 126, 145108 (2019)
C. Cho, X. Wen, N. Park, J. Li, Digitally virtualized atoms for acoustic metamaterials. Nat. Commun. 11, 1-8 (2020)
Y. Yang et al., High-harmonic generation from an epsilon-near-zero material. Nat. Phys. 15, 1022-1026 (2019)
V. Bruno et al., Negative refraction in time-varying strongly coupled plasmonic-antenna- epsilon-near-zero systems. Phys. Rev. Lett. 124, 43902 (2020)
G. Hu et al., Topological polaritons and photonic magic angles in twisted α-MoO3 bilayers. Nature 582, 209-213 (2020)
Sugiura, S., Demler, E. A., Lukin, M. & Podolsky, D.Resonantly enhanced polariton wave mixing and Floquet parametric instability. arXiv Prepr. arXiv1910.03582 (2019).
Michael, M. H. et al. Generalized Fresnel-Floquet equations for driven quantum materials. arXiv Prepr. arXiv2110.03704 (2021).
A.J. Sternbach et al., Programmable hyperbolic polaritons in van der Waals semiconductors. Science 371, 617-620 (2021)
D. Torrent, Strong spatial dispersion in time-modulated dielectric media. Phys. Rev. B 102, 214202 (2020)
D. Roy, C.M. Wilson, O. Firstenberg, Colloquium: Strongly interacting photons in one-dimensional continuum. Rev. Mod. Phys. 89(2), 021001 (2017)
L. Yuan, A. Dutt, M. Qin, S. Fan, X. Chen, Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons. Photonics Res 8(9), B8-B14 (2020)
A.K. Tusnin, A.M. Tikan, T.J. Kippenberg, Nonlinear states and dynamics in a synthetic frequency dimension. Phys. Rev. A 102(2), 023518 (2020)
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