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

42 citations · 79 across the 4 of their papers we have counts for

collaborators
Showing quant-phShow all

8 papers · 1 filter

quant-ph20212 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-ph202119 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

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

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

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-ph201716 cited

Exactly Solvable Time-Dependent Oscillator-Like Potentials Generated by Darboux Transformations

Kevin Zelaya, Oscar Rosas-Ortiz

The stationary Schroedinger equation of the harmonic oscillator is deformed by a Darboux transformation to construct time-dependent potentials with the oscillator profile. The Darb…