Abstract
We discuss the presence of exotic electromagnetic phenomena in systems with finite charge density which are described by hydrodynamics. We show that such systems generically have negative refractive index for low frequencies electromagnetic waves, i.e. the energy flux and the phase velocity of the wave propagate in opposite directions. We comment on possible phenomenological applications, focusing on the Quark Gluon Plasma.
Similar content being viewed by others
References
D.R. Smith et al., Composite medium with simultaneously negative permeability and permittivity, Phys. Rev. Lett. 84 (2000) 4184.
J.B. Pendry, Negative refraction makes a perfect lens, Phys. Rev. Lett. 85 (2000) 3966.
A. Amariti, D. Forcella, A. Mariotti and G. Policastro, Holographic optics and negative refractive index, JHEP 04 (2011) 036 [arXiv:1006.5714] [INSPIRE].
X. Gao and H.-b. Zhang, Refractive index in holographic superconductors, JHEP 08 (2010) 075 [arXiv:1008.0720] [INSPIRE].
X.-H. Ge, K. Jo and S.-J. Sin, Hydrodynamics of RN AdS 4 black hole and holographic optics, JHEP 03 (2011) 104 [arXiv:1012.2515] [INSPIRE].
F. Bigazzi, A.L. Cotrone, J. Mas, D. Mayerson and J. Tarrio, D3-D7 quark-gluon plasmas at finite baryon density, JHEP 04 (2011) 060 [arXiv:1101.3560] [INSPIRE].
F. Bigazzi, A.L. Cotrone, D. Mayerson, A. Paredes and J. Tarrio, Holographic flavored quark-gluon plasmas, PoS(FACESQCD)005 [arXiv:1101.3841] [INSPIRE].
V.M. Agranovich and Y.N. Gartstein, Spatial dispersion and negative refraction of light, Phys. Usp. 49 (2006) 1029.
V.M. Agranovich, Y.R. Shen, R.H. Baughman and A.A. Zakhidov, Optical bulk and surface waves with negative refraction, Phys. Rev. B 69 (2004) 165112.
V.M. Agranovich and Y.N. Gartstein, Electrodynamics of metamaterials and the Landau Lifshitz approach to the magnetic permeability, Metamaterials 3 (2009) 19.
V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ϵ and μ, Sov. Phys. Usp. 10 (1968) 509.
Some negative refractive index material headlines long before Veselago work and going back as far as to 1905 webpage, http://www.wave-scattering.com/negative.html.
D.R. Smith, W.J. Padilla, J. Willie, D.C. Nemat-Nasser and S. Schultz, Composite medium with simultaneously negative permeability and permittivity, Phys. Rev. Lett. 84 (2000) 4184.
J.B. Pendry, Negative refraction makes a perfect lens, Phys. Rev. Lett. 85 (2000) 3966.
R.A. Shelby, D.R. Smith and S. Schultz, Experimental verification of a negative index of refraction, Science 292 (2001) 77.
R.A. Depine and A. Lakhtakia, A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity, Microwave Optical Technology Lett. 41 (2004) 315.
L.D. Landau and E.M. Lifshitz, Electrodynamics of continuous media, Pergamon Press, Oxford U.K. (1984).
M. Dressel and G. Gruner, Electrodynamics of solids, Cambridge University Press, Cambridge U.K. (2002).
D. Forster, Hydrodynamic fluctuations, broken symmetries and correlation functions, Benjamin-Cummings, Reading U.S.A. (1975).
L.P. Kadanoff and P.C. Martin, Hydrodynamics equations and correlation functions, Annals Phys. 24 (1963) 419.
S.A. Hartnoll, P.K. Kovtun, M. Muller and S. Sachdev, Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes, Phys. Rev. B 76 (2007) 144502 [arXiv:0706.3215] [INSPIRE].
C.P. Herzog, N. Lisker, P. Surowka and A. Yarom, Transport in holographic superfluids, JHEP 08 (2011) 052 [arXiv:1101.3330] [INSPIRE].
S.I. Pekar, The theory of electromagnetic waves in a crystal in which excitons are produced, Zh. Eksp. Teor. Fiz. 33 (1957) 1022 [Sov. Phys. JETP 6 (1958) 785].
A. Amariti, D. Forcella and A. Mariotti, Additional light waves in hydrodynamics and holography, arXiv:1010.1297 [INSPIRE].
A. Amariti, D. Forcella, A. Mariotti and M. Siani, Negative refraction and superconductivity, JHEP 10 (2011) 104 [arXiv:1107.1242] [INSPIRE].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
X.-H. Ge, Y. Matsuo, F.-W. Shu, S.-J. Sin and T. Tsukioka, Density dependence of transport coefficients from holographic hydrodynamics, Prog. Theor. Phys. 120 (2008) 833 [arXiv:0806.4460] [INSPIRE].
A. Andronic, P. Braun-Munzinger and J. Stachel, Hadron production in central nucleus-nucleus collisions at chemical freeze-out, Nucl. Phys. A 772 (2006) 167 [nucl-th/0511071] [INSPIRE].
P. Braun-Munzinger, K. Redlich and J. Stachel, Particle production in heavy ion collisions, in Quark gluon plasma, R.C. Hwa et al. eds., World Scientific, Singapore (2004), pg. 491 [nucl-th/0304013] [INSPIRE].
J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/string duality, hot QCD and heavy ion collisions, arXiv:1101.0618 [INSPIRE].
N. Liu, H. Liu, S. Zhu and H. Giessen, Stereometamaterials, Nature Photon. 3 (2009) 157.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1107.1240
Rights and permissions
About this article
Cite this article
Amariti, A., Forcella, D. & Mariotti, A. Negative refractive index in hydrodynamical systems. J. High Energ. Phys. 2013, 105 (2013). https://doi.org/10.1007/JHEP01(2013)105
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2013)105