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

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Cited by 31 publications
(26 citation statements)
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“…[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%
“…[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%
“…Given the ubiquity of gain and loss processes in various electromagnetic structures and devices, such as lasers, absorbers and isolators, systematically studying their optical response via the scattering poles and zeros is highly desirable. In recent years, there has been a great interest in the so-called -symmetric structures, a particular class of non-Hermitian systems that exhibit balanced regions of gain and loss[52,[54][55][56][57][126][127][128][129][130][131][132].The concept of -symmetry originated in the context of theoretical quantum physics[133,134], after the pioneering work of Bender and Boettcher, showing that a large class of non-Hermitian Hamiltonians can exhibit entirely real spectra as long as they respectsymmetry. In general, a Hamiltonian is said to be -symmetric if it is invariant under simultaneous parity-( ) and time-( ) reversal operations [56,132-134].…”
mentioning
confidence: 99%
“…]. Interestingly, despite symmetric systems are essentially non-Hermitian, they can exhibit features similar to Hermitian systems in specific ranges of the gain/loss parameter [87], [197]. For example, the Hamiltonian of a -symmetric structure can have real eigenvalues in the so-called exact -symmetric phase regime.…”
Section: Different Scenarios In Gain/loss Systemsmentioning
confidence: 99%
“…The symmetry concept dates back to the pioneering works of Bender and Boettcher in theoretical quantum physics [71], [383]. It has been shown that a large class of non-Hermitian Hamiltonians can exhibit entirely real spectra, as long as they respect -symmetry, i.e., symmetry in the inversion of time ( ) and space ( ) [71], [197], [383], [384]. Later the concept of -symmetry was extended to optical systems [70], [385], [386], where time-reversal (complex conjugation) involves mapping optical gain into loss.…”
Section: -Symmetry and Exceptional Pointsmentioning
confidence: 99%