30 citations · 103 across the 10 of their papers we have counts for
10 papers
Learning Arbitrary Complex Matrices by Interlacing Amplitude and Phase Masks with Fixed Unitary Operations
Matthew Markowitz, Kevin Zelaya, Mohammad-Ali Miri
Programmable photonic integrated circuits represent an emerging technology that amalgamates photonics and electronics, paving the way for light-based information processing at high…
Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices
Kevin Zelaya, Vit Jakubský
This work reports the three-band structure associated with a Lieb lattice with arbitrary nearest and next-nearest neighbors hopping interactions. For specific configurations, the s…
Confinement in bilayer graphene via intra- and inter-layer interactions
Miguel Castillo-Celeita, Vít Jakubský, Kevin Zelaya
We consider confinement of Dirac fermions in -stacked bilayer graphene by inhomogeneous on-site interactions, (pseudo-)magnetic field or inter-layer interaction. Working within…
Third-order ladder operators, generalized Okamoto and exceptional orthogonal polynomials
Véronique Hussin, Ian Marquette, Kevin Zelaya
We extend and generalize the construction of Sturm-Liouville problems for a family of Hamiltonians constrained to fulfill a third-order shape-invariance condition and focusing on t…
Generalized Susskind-Glogower coherent states
Jean-Pierre Gazeau, Véronique Hussin, James Moran +1
Susskind-Glogower coherent states, whose Fock expansion coefficients include Bessel functions, have recently attracted considerable attention for their optical properties. Neverthe…
Quantum and semi-classical aspects of confined systems with variable mass
Jean-Pierre Gazeau, Véronique Hussin, James Moran +1
We explore the quantization of classical models with position-dependent mass (PDM) terms constrained to a bounded interval in the canonical position. This is achieved through the W…
Quantum nonstationary oscillators: Invariants, dynamical algebras and coherent states via point transformations
Kevin Zelaya, Oscar Rosas-Ortiz
We consider the relations between nonstationary quantum oscillators and their stationary counterpart in view of their applicability to study particles in electromagnetic traps. We…
Generalized squeezed states
Kevin Zelaya, Sanjib Dey, Véronique Hussin
Squeezed states are one of the most useful quantum optical models having various applications in different areas, especially in quantum information processing. Generalized squeezed…
Comments on "Quasi-coherent states for the Hermite oscillator" [J. Math. Phys. 59, 062104 (2018)]
Kevin Zelaya, Oscar Rosas-Ortiz
The paper of Unal [J. Math. Phys. 59, 062104 (2018)], though worthy of attention, contains a conclusion that is in error and may mislead the efforts to extend his results. The aim…
Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum
K Zelaya, S. Dey, V. Hussin +1
We show that the standard techniques that are utilized to study the classical like properties of the pure states for Hermitian systems can be adjusted to investigate the classicali…