Abstract
The development of non-Hermitian parity-time (PT) symmetric quantum mechanics has offered a powerful platform to engineer novel device functionality for integrated photonics. In this chapter, we review the chip-scale applications of PT-symmetry in photonic devices, including the implementation of the unidirectional reflectionless PT metamaterial, coherent asymmetric light-light switching, and orbital angular momentum (OAM) laser on-chip. We study the optical analogy of non-Hermitian PT systems, manipulate the complex refractive index properties such as gain/loss modulation, and investigate the unique wave transport characteristics near the exceptional point (EP) to achieve these intriguing on-chip functionalities.
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Reference
Bender, C.M., Boettcher, S.: Real spectra in non-Hermitian Hamiltonians having PT symmetry. Phys. Rev. Lett. 80, 5243–5246 (1998)
Bender, C.M.: Making sense of non-Hermitian Hamiltonians. Rep. Prog. Phys. 70, 947–1018 (2007)
Bender, C.M., Brody, D.C., Jones, H.F.: Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction. Phys. Rev. D. 70, 025001 (2004)
Rotter, I.: A non-Hermitian Hamilton operator and the physics of open quantum systems. J. Phys. A. 42, 1_51 (2009)
Rüter, C.E., et al.: Observation of parity–time symmetry in optics. Nat. Phys. 6, 192–195 (2010)
Chang, L., et al.: Parity-time symmetry and variable optical isolation in active-passive-coupled microresonators. Nat. Photon. 8, 524–529 (2014)
Regensburger, A., et al.: Parity-time synthetic photonic lattices. Nature. 488, 167–171 (2012)
Musslimani, Z.H., et al.: Optical solitons in P T periodic potentials. Phys. Rev. Lett. 100, 030402 (2008)
Ahmed, Z.: Schrödinger transmission through one-dimensional complex potentials. Phys. Rev. A. 64, 042716 (2001)
Mostafazadeh, A.: Pseudo-Hermiticity versus PT symmetry: the necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. J. Math. Phys. 43, 205–214 (2002)
Schindler, J., Li, A., Zheng, M.C., Ellis, F.M., Kottos, T.: Experimental study of active LRC circuits with PT symmetries. Phys. Rev. A. 84, 040101R (2011)
Guo, A., et al.: Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett. 103, 093902 (2009)
Musslimani, Z.H., El-Ganainy, R., Makris, K.G., Christodoulides, D.N.: Optical solitons in PT periodic potentials. Phys. Rev. Lett. 100, 030402 (2008)
Longhi, S.: Bloch oscillations in complex crystals with PT symmetry. Phys. Rev. Lett. 103, 123601 (2009)
Klaiman, S., Guenther, U., Moiseyev, N.: Visualization of branch points in PT symmetric waveguides. Phys. Rev. Lett. 101, 080402 (2008)
Graefe, E.M., Jones, H.F.: PT-symmetric sinusoidal optical lattices at the symmetry-breaking threshold. Phys. Rev. A. 84, 013818 (2011)
Ge, L., et al.: Unconventional modes in lasers with spatially varying gain and loss. Phys. Rev. A. 84, 023820 (2011)
Feng, L., et al.: Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mat. 12, 108–113 (2013)
Zhao, H., et al.: Metawaveguide for asymmetric interferometric light-light switching. Phys. Rev. Lett. 117, 193901 (2016)
Miao, P., et al.: Orbital angular momentum microlaser. Science. 353, 464–467 (2016)
Cannata, F., Dedonder, J.-P., Ventura, A.: Scattering in PT-symmetric quantum mechanics. Ann. Phys. 322, 397–433 (2007)
Fang, X., MacDonald, K.F., Zheludev, N.I.: Controlling light with light using coherent metadevices: all-optical transistor, summator and invertor. Light. Sci. Appl. 4(5), e292 (2015)
Chong, Y.D., et al.: Coherent perfect absorbers: time-reversed lasers. Phys. Rev. Lett. 105, 053901 (2010)
Chong, Y.D., Ge, L., Douglas Stone, A.: PT-symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011)
Wan, W., et al.: Time-reversed lasing and interferometric control of absorption. Science. 331, 889–892 (2011)
Longhi, S.: PT-symmetric laser absorber. Phys. Rev. A. 82, 031801 (2010)
Allen, L., et al.: Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A. 45, 8185 (1992)
Guo, Q., et al.: Line degeneracy and strong spin-orbit coupling of light with bulk bianisotropic metamaterials. Phys. Rev. Lett. 115, 067402 (2015)
Franke-Arnold, S., et al.: Rotary photon drag enhanced by a slow-light medium. Science. 333, 65–67 (2011)
Franke-Arnold, S., et al.: Uncertainty principle for angular position and angular momentum. New J. Phys. 6, 103 (2004)
Bozinovic, N., et al.: Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science. 340, 1545–1548 (2013)
Yao, A.M., Padgett, M.J.: Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photon. 3, 161–204 (2011)
Lin, D., et al.: Dielectric gradient metasurface optical elements. Science. 345, 298–302 (2014)
Peng, B., et al.: Parity-time-symmetric whispering-gallery microcavities. Nat. Phys. 10, 394–398 (2014)
Brandstetter, M., et al.: Reversing the pump dependence of a laser at an exceptional point. Nat. Commun. 5, 4032 (2014)
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Pan, M., Miao, P., Zhao, H., Zhang, Z., Feng, L. (2018). PT-Symmetry on-a-Chip: Harnessing Optical Loss for Novel Integrated Photonic Functionality. In: Christodoulides, D., Yang, J. (eds) Parity-time Symmetry and Its Applications. Springer Tracts in Modern Physics, vol 280. Springer, Singapore. https://doi.org/10.1007/978-981-13-1247-2_2
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DOI: https://doi.org/10.1007/978-981-13-1247-2_2
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