Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices
نویسندگان
چکیده
Abstract We construct localized beams in a non-Hermitian Glauber Fock (NGF) lattice of coupled waveguides and show that they can propagate over long distance withalmost no diffraction. specifically obtain the diffraction-free finite NGF at exceptional point (EP) by using exact eigenstates semi-infinite unidirectional lattice. provide numerical approach to finding other lattices are capable supporting non-diffracting EPs.
منابع مشابه
Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices.
Coherent states and their generalizations, displaced Fock states, are of fundamental importance to quantum optics. Here we present a direct observation of a classical analogue for the emergence of these states from the eigenstates of the harmonic oscillator. To this end, the light propagation in a Glauber-Fock waveguide lattice serves as equivalent for the displacement of Fock states in phase s...
متن کاملFock Space Representations for Non-Hermitian Hamiltonians
The requirement of Hermiticity of a Quantum Mechanical Hamiltonian, for the description of physical processes with real eigenvalues which has been challenged notably by Carl Bender, is examined for the case of a Fock space Hamilitonian which is bilinear in two creation and destruction operators. An interpretation of this model as a Schrödinger operator leads to an identification of the Hermitia...
متن کاملObservation of exceptional points in reconfigurable non-Hermitian vector-field holographic lattices
Recently, synthetic optical materials represented via non-Hermitian Hamiltonians have attracted significant attention because of their nonorthogonal eigensystems, enabling unidirectionality, nonreciprocity and unconventional beam dynamics. Such systems demand carefully configured complex optical potentials to create skewed vector spaces with a desired metric distortion. In this paper, we report...
متن کاملParametric instability of optical non-Hermitian systems near the exceptional point
In contrast to Hermitian systems, the modes of non-Hermitian systems are generally nonorthogonal. As a result, the power of the system signal depends not only on the mode amplitudes but also on the phase shift between them. In this work, we show that it is possible to increase the mode amplitudes without increasing the power of the signal. Moreover, we demonstrate that when the system is at the...
متن کاملObservation of Bloch-like revivals in semi-infinite Glauber-Fock photonic lattices.
We report the first experimental implementation of Glauber-Fock oscillator lattices. Bloch-like revivals are observed in these optical structures in spite of the fact that the photonic array is effectively semi-infinite and the waveguide coupling is not uniform. This behavior is entirely analogous to the dynamics exhibited by a driven quantum harmonic oscillator. Our observations are in excelle...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Optics
سال: 2022
ISSN: ['0974-6900', '0972-8821']
DOI: https://doi.org/10.1088/2040-8986/ac868e