2014
DOI: 10.3367/ufne.0184.201411b.1177
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PT-symmetry in optics

Abstract: We review quantum mechanical and optical pseudo-Hermitian systems with an emphasis on PT-symmetric systems important for optics and electrodynamics. One of the most interesting and much discussed consequences of PT symmetry is a phase transition under which the system eigenvalues lose their PT symmetry. We show that although this phase transition is difficult to realize experimentally, a similar transition can be observed in quasi-PT-symmetric systems. Other effects predicted for PT-symmetric systems are not s… Show more

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Cited by 246 publications
(175 citation statements)
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“…In principle, the control power can be further engineered to be much weaker than the signal power by reducing the modulation depth δ of Im½Δε responsible for the asymmetric reflection. Although the proposed metawaveguide does not break Lorentz reciprocity, further consideration with nonlinearity [34] may promise novel optical isolators [35] and highly integrated all-optical transistors gates [36]. Integration of Kerr nonlinearity may also enable an approach to flexibly manipulate the metawaveguide towards or away from the exceptional point [37], proving an additional freedom in the interferometric light-light switching.…”
Section: Að0þmentioning
confidence: 99%
“…In principle, the control power can be further engineered to be much weaker than the signal power by reducing the modulation depth δ of Im½Δε responsible for the asymmetric reflection. Although the proposed metawaveguide does not break Lorentz reciprocity, further consideration with nonlinearity [34] may promise novel optical isolators [35] and highly integrated all-optical transistors gates [36]. Integration of Kerr nonlinearity may also enable an approach to flexibly manipulate the metawaveguide towards or away from the exceptional point [37], proving an additional freedom in the interferometric light-light switching.…”
Section: Að0þmentioning
confidence: 99%
“…A PT -symmetric system has unimodular eigenvalues |s 1 | = |s 2 | = 1 of the scattering matrix. When PT symmetry is violated, the modules of the eigenvalues are inverse as |s 1 definition of the scattering matrix [10] …”
Section: Phase Transition Dynamicsmentioning
confidence: 99%
“…PT -symmetric structures and PT symmetry breaking seem to be one of the most intensively studied fields in optics and photonics of active systems [1][2][3]. It dates back to the seminal works of Bender and Boettcher [4,5], who discovered the real-valued spectra of non-Hermitian Hamiltonians in quantum mechanics, provided these Hamiltonians are parity-time (PT ) symmetric, i.e., invariant with respect to simultaneous parity change and time reversal.…”
Section: Introductionmentioning
confidence: 99%
“…[10]. The special spectral features play an important role for dielectric microcavities, see a review paper [11], and can in particular facilitate singlemode lasing [12,13] and find various other applications (see the recent review paper [14] and references therein).…”
Section: Introductionmentioning
confidence: 99%