C. M. Bender and S. Boettcher, Symmetry, Physical Review Letters, vol.173, issue.24, p.5243, 1998.
DOI : 10.1016/0375-9601(93)90153-Q

URL : https://hal.archives-ouvertes.fr/in2p3-00577262

C. M. Bender, Making sense of non-Hermitian Hamiltonians, Reports on Progress in Physics, vol.70, issue.6, p.947, 2007.
DOI : 10.1088/0034-4885/70/6/R03

C. M. Bender, -symmetric quantum theory, Journal of Physics: Conference Series, vol.631, p.12002, 2015.
DOI : 10.1088/1742-6596/631/1/012002

URL : http://iopscience.iop.org/article/10.1088/1742-6596/631/1/012002/pdf

V. V. Konotop, J. Yang, and D. A. Zezylin, -symmetric systems, Reviews of Modern Physics, vol.34, issue.3, p.35002, 2016.
DOI : 10.1088/0305-4470/33/7/102

A. Ruschhaupt, F. Delgado, and J. G. Muga, Physical realization of -symmetric potential scattering in a planar slab waveguide, Journal of Physics A: Mathematical and General, vol.38, issue.9, p.171, 2005.
DOI : 10.1088/0305-4470/38/9/L03

C. E. Rüter, Observation of parity???time symmetry in optics, Nature Physics, vol.50, issue.3, p.192, 2010.
DOI : 10.1088/0022-3727/41/10/102001

A. Guo, -Symmetry Breaking in Complex Optical Potentials, Physical Review Letters, vol.1, issue.9, p.93902, 2009.
DOI : 10.1063/1.3028651

L. Feng, Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical??frequencies, Nature Materials, vol.106, issue.2, p.108, 2012.
DOI : 10.1103/PhysRevLett.106.024301

C. M. Bender, D. C. Brody, H. F. Jones, and B. K. Meister, Faster than Hermitian Quantum Mechanics, Physical Review Letters, vol.98, issue.4, p.40403, 2007.
DOI : 10.1063/1.2203236

URL : http://arxiv.org/pdf/quant-ph/0609032

A. Mostafazadeh, Quantum Brachistochrone Problem and the Geometry of the State Space in Pseudo-Hermitian Quantum Mechanics, Physical Review Letters, vol.30, issue.13, p.130502, 2007.
DOI : 10.1088/0305-4470/39/43/008

P. E. Assis and A. Fring, The quantum brachistochrone problem for non-Hermitian Hamiltonians, Journal of Physics A: Mathematical and Theoretical, vol.41, issue.24, p.244002, 2008.
DOI : 10.1088/1751-8113/41/24/244002

Y. Lee, M. Hsieh, S. T. Flammia, and R. Lee, Symmetry Violates the No-Signaling Principle, Local PT Symmetry Violates the No-Signaling Principle, p.130404, 2014.
DOI : 10.1103/PhysRevA.72.012108

URL : http://arxiv.org/pdf/1312.3395

D. Liberzon, Calculus of Variations and Optimal Control Theory, 2012.

I. Rotter, A non-Hermitian Hamilton operator and the physics of open quantum systems, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.15, p.153001, 2009.
DOI : 10.1088/1751-8113/42/15/153001

U. Günther, I. Rotter, and B. Samsonov, Projective Hilbert space structures at exceptional points, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.30, p.8815, 2007.
DOI : 10.1088/1751-8113/40/30/014

T. Kato, Perturbation Theory for Linear Operators, 1966.

A. Lupu, H. Benisty, and A. Degiron, Switching using PT symmetry in plasmonic systems: positive role of the losses, Optics Express, vol.21, issue.18, p.21651, 2013.
DOI : 10.1364/OE.21.021651

URL : https://hal.archives-ouvertes.fr/hal-01349750

A. Lupu, H. Benisty, and A. Degiron, Using optical PT-symmetry for switching applications, Photonics and Nanostructures - Fundamentals and Applications, vol.12, issue.4, p.305, 2014.
DOI : 10.1016/j.photonics.2014.05.003

URL : https://hal.archives-ouvertes.fr/hal-01349720

F. Nazari, M. Nazari, and M. K. Moravvej-farshi, A 2??2 spatial optical switch based on PT-symmetry, Optics Letters, vol.36, issue.22, p.4368, 2011.
DOI : 10.1364/OL.36.004368

Y. Chen, D. N. Payne, and A. W. Snyder, Twin core nonlinear couplers with gain and loss, IEEE Journal of Quantum Electronics, vol.28, issue.1, p.239, 1992.
DOI : 10.1109/3.119519

URL : https://eprints.soton.ac.uk/78336/1/587.pdf

S. Phang, A. Vukovic, H. Susanto, T. M. Benson, and . Sewell, Ultrafast optical switching using parity???time symmetric Bragg gratings, SCIENTIFIC REPORTS 13299 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@ 22, p.2984, 2013.
DOI : 10.1364/JOSAB.30.002984

URL : http://eprints.nottingham.ac.uk/28713/7/final%20manuscript.pdf

M. Kulishov, J. M. Laniel, N. Bélanger, J. Azaña, and D. V. Plant, Nonreciprocal waveguide Bragg gratings, Optics Express, vol.13, issue.8, p.3068, 2005.
DOI : 10.1364/OPEX.13.003068

R. El-ganainy, K. G. Makris, D. N. Christodoulides, and Z. H. Musslimani, Theory of coupled optical PT-symmetric structures, Optics Letters, vol.32, issue.17, p.2632, 2007.
DOI : 10.1364/OL.32.002632

N. B. Nguyen, S. A. Maier, M. Hong, and R. F. Oulton, Recovering parity-time symmetry in highly dispersive coupled optical waveguides, New Journal of Physics, vol.18, issue.12, p.125012, 2016.
DOI : 10.1088/1367-2630/18/12/125012

URL : http://iopscience.iop.org/article/10.1088/1367-2630/18/12/125012/pdf

. Kh, F. Abdullaev, V. V. Konotop, M. Ögren, M. P. Sørensen et al., Zeno effect and switching of solitons in nonlinear couplers, Opt. Lett, vol.36, p.4566, 2011.

N. Moiseyev, -symmetric two-level time-periodic system, Physical Review A, vol.LIII, issue.5, p.52125, 2011.
DOI : 10.1103/PhysRevA.81.063807

R. El-ganainy, K. G. Makris, and D. N. Christodoulides, invariance and supersymmetric parametric oscillators, Physical Review A, vol.18, issue.3, p.33813, 2012.
DOI : 10.1016/0550-3213(82)90071-2

V. V. Konotop and D. A. Zezyulin, Stochastic parity-time-symmetric coupler, Optics Letters, vol.39, issue.5, p.1223, 2014.
DOI : 10.1364/OL.39.001223

URL : http://arxiv.org/pdf/1401.6352

H. Benisty, Implementation of PT symmetric devices using plasmonics: principle and applications, Optics Express, vol.19, issue.19, p.18004, 2011.
DOI : 10.1364/OE.19.018004

URL : https://hal.archives-ouvertes.fr/hal-00683875

H. Kogelnik and R. V. Schmidt, Switched directional couplers with alternating ????, IEEE Journal of Quantum Electronics, vol.12, issue.7, p.396, 1979.
DOI : 10.1109/JQE.1976.1069190

U. Günther and B. Samsonov, -Symmetric Brachistochrone, Physical Review Letters, vol.101, issue.23, p.230404, 2008.
DOI : 10.1103/PhysRevLett.61.1446

V. E. Zakharov and B. , Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Shabat. Sov. Phys. JETP, vol.37, p.62, 1972.

H. Song, Theory of symmetry in optical filter responses, Journal of the Optical Society of America A, vol.11, issue.7, pp.2027-2037, 1994.
DOI : 10.1364/JOSAA.11.002027