activity
20162021
most citedBi-Orthogonal Approach to Non-Hermitian Hamiltonians with the Oscillator Spectrum: Generalized Coherent States for Nonlinear Algebras

42 citations · 160 across the 10 of their papers we have counts for

collaborators

10 papers

quant-ph2021★ 2 cited

Theory of Photon Subtraction for Two-Mode Entangled Light Beams

Oscar Rosas-Ortiz, Kevin Zelaya

Photon subtraction is useful to produce nonclassical states of light addressed to applications in photonic quantum technologies. After a very accelerated development, this techniqu…

quant-ph2021★ 19 cited

Exact solutions for time-dependent non-Hermitian oscillators: classical and quantum pictures

Kevin Zelaya, Oscar Rosas-Ortiz

We associate the stationary harmonic oscillator with time-dependent systems exhibiting non-Hermiticity by means of point transformations. The new systems are exactly solvable, with…

quant-ph2021★ 9 cited

Constructing Squeezed States of Light with Associated Hermite Polynomials

Kevin Zelaya, Véronique Hussin, Oscar Rosas-Ortiz

A new class of states of light is introduced that is complementary to the well-known squeezed states. The construction is based on the general solution of the three-term recurrence…

quant-ph2020★ 14 cited

On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms

Kevin Zelaya, Sara Cruz y Cruz, Oscar Rosas-Ortiz

The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued…

quant-ph2019★ 18 cited

Coherent states for exactly solvable time-dependent oscillators generated by Darboux transformations

Sara Cruz y Cruz, Ruben Razo, Oscar Rosas-Ortiz +1

The Darboux method is commonly used in the coordinate variable to produce new exactly solvable (stationary) potentials in quantum mechanics. In this work we follow a variation intr…

quant-ph2018★ 19 cited

Interplay between Riccati, Ermakov and Schroedinger equations to produce complex-valued potentials with real energy spectrum

Zurika Blanco-Garcia, Oscar Rosas-Ortiz, Kevin Zelaya

Nonlinear Riccati and Ermakov equations are combined to pair the energy spectrum of two different quantum systems via the Darboux method. One of the systems is assumed Hermitian, e…