3 papers
quant-ph2020
Time-dependent quantum harmonic oscillator: a continuous route from adiabatic to sudden changes
D. Martínez-Tibaduiza, L. Pires, C. Farina
In this work, we provide an answer to the question: how sudden or adiabatic is a change in the frequency of a quantum harmonic oscillator (HO)? To do this, we investigate the behav…
quant-ph2020
A time-dependent harmonic oscillator with two frequency jumps: an exact algebraic solution
D. M. Tibaduiza, L. Pires, A. L. C. Rego +3
We consider a harmonic oscillator (HO) with a time dependent frequency which undergoes two successive abrupt changes. By assumption, the HO starts in its fundamental state with fre…
quant-ph2019
Efficient algebraic solution for a time-dependent quantum harmonic oscillator
D. M. Tibaduiza, L. B. Pires, D. Szilard +3
Using operator ordering techniques based on BCH-like relations of the su(1,1) Lie algebra and a time-splitting approach,we present an alternative method of solving the dynamics of…