Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2)

Shi Hai Dong; Yu Tang; Guo Hua Sun; F. Lara-Rosano; M. Lozada-Cassou

doi:10.1016/j.aop.2004.09.003

Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2)

Shi Hai Dong, Yu Tang, Guo Hua Sun, F. Lara-Rosano, M. Lozada-Cassou

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The controllability of a quantum system for the modified Pöschl-Teller (MPT) potential with the discrete bound states is investigated. The creation and annihilation operators of this potential are constructed directly from the normalized wave function with the factorization method and associated to an su(2) algebra. It is shown that this quantum system with the nondegenerate discrete bound states can, in principle, be strongly completely controllable, i.e., the system eigenstates can be guided by the external field to approach arbitrarily close to a target state, which could be theoretically realized by the actions of the creation and annihilation operators on the ground state.

Original language	English
Pages (from-to)	566-581
Number of pages	16
Journal	Annals of Physics
Volume	315
Issue number	2
DOIs	https://doi.org/10.1016/j.aop.2004.09.003
State	Published - Feb 2005
Externally published	Yes

Keywords

Controllability
Modified Pöschl-Teller potential
SU(2) group

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10.1016/j.aop.2004.09.003

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title = "Controllability of pure states for the P{\"o}schl-Teller potential with a dynamical group SU(2)",

abstract = "The controllability of a quantum system for the modified P{\"o}schl-Teller (MPT) potential with the discrete bound states is investigated. The creation and annihilation operators of this potential are constructed directly from the normalized wave function with the factorization method and associated to an su(2) algebra. It is shown that this quantum system with the nondegenerate discrete bound states can, in principle, be strongly completely controllable, i.e., the system eigenstates can be guided by the external field to approach arbitrarily close to a target state, which could be theoretically realized by the actions of the creation and annihilation operators on the ground state.",

keywords = "Controllability, Modified P{\"o}schl-Teller potential, SU(2) group",

author = "Dong, {Shi Hai} and Yu Tang and Sun, {Guo Hua} and F. Lara-Rosano and M. Lozada-Cassou",

note = "Funding Information: The authors thank the kind referee for the positive and invaluable suggestions from which the manuscript has been improved greatly. This work was partly supported by IMP of M{\'e}xico.",

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T1 - Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2)

AU - Dong, Shi Hai

AU - Tang, Yu

AU - Sun, Guo Hua

AU - Lara-Rosano, F.

AU - Lozada-Cassou, M.

N1 - Funding Information: The authors thank the kind referee for the positive and invaluable suggestions from which the manuscript has been improved greatly. This work was partly supported by IMP of México.

PY - 2005/2

Y1 - 2005/2

N2 - The controllability of a quantum system for the modified Pöschl-Teller (MPT) potential with the discrete bound states is investigated. The creation and annihilation operators of this potential are constructed directly from the normalized wave function with the factorization method and associated to an su(2) algebra. It is shown that this quantum system with the nondegenerate discrete bound states can, in principle, be strongly completely controllable, i.e., the system eigenstates can be guided by the external field to approach arbitrarily close to a target state, which could be theoretically realized by the actions of the creation and annihilation operators on the ground state.

AB - The controllability of a quantum system for the modified Pöschl-Teller (MPT) potential with the discrete bound states is investigated. The creation and annihilation operators of this potential are constructed directly from the normalized wave function with the factorization method and associated to an su(2) algebra. It is shown that this quantum system with the nondegenerate discrete bound states can, in principle, be strongly completely controllable, i.e., the system eigenstates can be guided by the external field to approach arbitrarily close to a target state, which could be theoretically realized by the actions of the creation and annihilation operators on the ground state.

KW - Controllability

KW - Modified Pöschl-Teller potential

KW - SU(2) group

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U2 - 10.1016/j.aop.2004.09.003

DO - 10.1016/j.aop.2004.09.003

M3 - Artículo

SN - 0003-4916

VL - 315

SP - 566

EP - 581

JO - Annals of Physics

JF - Annals of Physics

IS - 2

ER -

Controllability of pure states for the Pöschl-Teller potential with a dynamical group SU(2)

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