State conversions around exceptional points
نویسندگان
چکیده
منابع مشابه
Fano profiles in scattering around exceptional points
In a previous paper it has been shown that the interference of the first and second order pole of the Green’s function at an exceptional point, as well as the interference of the first order poles in the vicinity of the exceptional point, gives rise to asymmetric scattering cross section profiles. In the present paper we demonstrate that these line profiles are indeed well described by the Beut...
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It is well known that in open quantum systems resonances can coalesce at an exceptional point, where both the energies and the wave functions coincide. In contrast to the usual behaviour of the scattering amplitude at one resonance, the coalescence of two resonances invokes a pole of second order in the Green’s function, in addition to the usual first order pole. We show that the interference d...
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We show that a two-level non-Hermitian Hamiltonian with constant off-diagonal exchange elements can be analyzed exactly when the underlying exceptional point is perfectly encircled in the complex plane. The state evolution of this system is explicitly obtained in terms of an ensuing transfer matrix, even for large encirclements, regardless of adiabatic conditions. Our results clearly explain th...
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The study of single particle motion in deformed mean fields has attracted much attention recently because of its relevance to nuclear physics and for the description of metallic clusters [1,2]. For the case of harmonic oscillator potentials, deformations which go beyond a quadrupole deformation are nonintegrable and show chaotic behaviour in the classical and quantum mechanical treatment. Howev...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2019
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/ab2082