Observation of PT-symmetric quantum interference
نویسندگان
چکیده
منابع مشابه
PT -Symmetric Quantum Field Theory
A new approach to quantum theories was proposed in 1996 in the context of the so-called δ-expansion [1]. The idea was to study non-Hermitian theories which nevertheless possessed positive spectra. Parity symmetry P was broken in these theories, as well as time-reversal invariance T . However, PT symmetry was unbroken. In early papers we examined scalar field theories with interaction [1] Lint =...
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We study the physical content of the PT -symmetric complex extension of quantum mechanics as proposed in Bender et al, Phys. Rev. Lett. 80, 5243 (1998) and 89, 270401 (2002), and show that as a fundamental probabilistic physical theory it is neither an alternative to nor an extension of ordinary quantum mechanics. We demonstrate that the definition of a physical observable given in the above pa...
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A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients are derived in the cases of P, T or PT invariance of the Hamiltonian. Applications to some solvable PT -symmetric potentials are shown in detail. Our main original results concern the association of reflectionless pote...
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Within the supersymmetric quantum mechanics the necessary regularization of the poles of the superpotentials on the real line of coordinates x may be most easily mediated by a small constant shift of this axis into complex plane. Detailed attention is paid here to the resulting recipe which works, in effect, with non-Hermitian (a. k. a. PT −symmetric or pseudo-Hermitian) Hamiltonians. Besides a...
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A variational calculation of the energy levels of the class of PT-invariant quantum mechanical models described by the 2 Ž .N non-Hermitian Hamiltonian Hsp y ix with N positive and x complex is presented. The energy levels are determined 2 :Ž . Ž Ž . Ž .. Ž 2Ž .. Ž . by finding the stationary points of the functional H a,b,c ' H dx c x Hc x r H dx c x , where c x s C C b c Ž . ix exp a ix is a ...
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ژورنال
عنوان ژورنال: Nature Photonics
سال: 2019
ISSN: 1749-4885,1749-4893
DOI: 10.1038/s41566-019-0517-0