Non-Hermitian Hamiltonian beyond PT symmetry for time-dependent SU(1,1) and SU(2) systems — Exact solution and geometric phase in pseudo-invariant theory

Non-Hermitian Hamiltonian beyond PT symmetry for time-dependent SU(1,1) and SU(2) systems — Exact solution and geometric phase in pseudo-invariant theory

In this paper we investigate time-dependent non-Hermitian Hamiltonians, which consist of SU(1,1) and SU(2) generators. The former Hamiltonian is PT symmetric but the latter one is not. A time-dependent non-unitary operator is proposed to construct the non-Hermitian invariant, which is verified as ps...

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Bibliographic Details
Main Authors: Nadjat Amaouche, Maroua Sekhri, Rahma Zerimeche, Mustapha Maamache, J.-Q. Liang
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Physics Open
Subjects:
Non-Hermitian Hamiltonian
SU(1, 1) and SU(2) Lie algebra
Pseudo-Hermitian invariant
Online Access:http://www.sciencedirect.com/science/article/pii/S2666032622000278

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