Algebraic approach and Berry phase of a Hamiltonian with a general SU(1, 1) symmetry

E. Choreño; R. Valencia; D. Ojeda-Guillén

doi:10.1063/5.0027957

Algebraic approach and Berry phase of a Hamiltonian with a general SU(1, 1) symmetry

E. Choreño, R. Valencia, D. Ojeda-Guillén

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Abstract

In this paper, we study a general Hamiltonian with a linear structure given in terms of two different realizations of the SU(1, 1) group. We diagonalize this Hamiltonian by using the similarity transformations of the SU(1, 1) and SU(2) displacement operators performed to the su(1, 1) Lie algebra generators. Then, we compute the Berry phase of a general time-dependent Hamiltonian with this general SU(1, 1) linear structure.

Original language	English
Article number	071701
Journal	Journal of Mathematical Physics
Volume	62
Issue number	7
DOIs	https://doi.org/10.1063/5.0027957
State	Published - 1 Jul 2021
Externally published	Yes

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abstract = "In this paper, we study a general Hamiltonian with a linear structure given in terms of two different realizations of the SU(1, 1) group. We diagonalize this Hamiltonian by using the similarity transformations of the SU(1, 1) and SU(2) displacement operators performed to the su(1, 1) Lie algebra generators. Then, we compute the Berry phase of a general time-dependent Hamiltonian with this general SU(1, 1) linear structure.",

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AB - In this paper, we study a general Hamiltonian with a linear structure given in terms of two different realizations of the SU(1, 1) group. We diagonalize this Hamiltonian by using the similarity transformations of the SU(1, 1) and SU(2) displacement operators performed to the su(1, 1) Lie algebra generators. Then, we compute the Berry phase of a general time-dependent Hamiltonian with this general SU(1, 1) linear structure.

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Algebraic approach and Berry phase of a Hamiltonian with a general SU(1, 1) symmetry

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