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PT-symmetric optical lattices
Open accessAbstract
The basic properties of Floquet-Bloch (FB) modes in parity-time ($\mathcal{PT}$)-symmetric optical lattices are examined in detail. Due to the parity-time symmetry of such complex periodic potentials, the corresponding FB modes are skewed (nonorthogonal) and nonreciprocal. The conjugate pairs of these FB modes are obtained by reflecting both the spatial coordinate and the Bloch momentum number itself. The orthogonality conditions are analytically derived for a single cell, for both a finite and an infinite lattice. Some of the peculiarities associated with the diffraction dynamics in $\mathcal{PT}$ lattices such as nonreciprocity, power oscillations, and phase dislocations, are also examined.
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Cites
Discretizing light behaviour in linear and nonlinear waveguide lattices
Christodoulides, D. N., Lederer, F., & Silberberg, Y. (2003) · Nature · doi:10.1038/nature01936 · Cited by 1,692
Self-citationFaster than Hermitian quantum mechanics
Bender, C. M., Brody, D. C., Jones, H. F., & Meister, B. K. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.040403 · Cited by 417
Cited by
Parity–time synthetic photonic lattices
Regensburger, A., Bersch, C., Miri, M.-A., Onishchukov, G., Christodoulides, D. N., & Peschel, U. (2012) · Nature · doi:10.1038/nature11298 · Cited by 2,019
Self-citationThe physics of exceptional points
Heiss, W. D. (2012) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/45/44/444016 · Cited by 1,438
PT-Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems
Chong, Y. D., Ge, L., & Stone, A. D. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.093902 · Cited by 980
Optical Resonator Analog of a Two-Dimensional Topological Insulator
Liang, G. Q., & Chong, Y. D. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.203904 · Cited by 340
Time-dependent Hamiltonians with 100% evolution speed efficiency
Uzdin, R., Günther, U., Rahav, S., & Moiseyev, N. (2012) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/45/41/415304 · Cited by 54
Metadata
- Authors
- Makris, K. G., El-Ganainy, R., Christodoulides, D. N., & Musslimani, Z. H.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-06-04
- Volume
- 81
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2072774600
- Cited by
- 330
- References
- 2
- FWCI
- 16.37
- Type
- journal article
- Language
- en
- Open access
- green
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- Makris, K. G., El-Ganainy, R., Christodoulides, D. N., & Musslimani, Z. H. (2010). PT-symmetric optical lattices. Physical Review A. https://doi.org/10.1103/physreva.81.063807
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