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quant-ph2020★ 19 cited
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★ 16 cited
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…