We study some variational problems related to the controllability of the transition between two quantum states of the driven quantum harmonic oscillator. We focus on the existence of minimum points of the total energy functional which is obtained by adding to the cost of the control a term penalizing the distance from the maximum transition probability between given energy states.
Variational functionals for the driven quantum harmonic oscillator / Devillanova, Giuseppe; Florio, Giuseppe; Maddalena, Francesco. - In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. - ISSN 1747-6933. - STAMPA. - 66:2(2021), pp. 312-335. [10.1080/17476933.2020.1720006]
Variational functionals for the driven quantum harmonic oscillator
Giuseppe Devillanova
;Giuseppe Florio;Francesco Maddalena
2021-01-01
Abstract
We study some variational problems related to the controllability of the transition between two quantum states of the driven quantum harmonic oscillator. We focus on the existence of minimum points of the total energy functional which is obtained by adding to the cost of the control a term penalizing the distance from the maximum transition probability between given energy states.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
