Analytically solvable 2×2 PT -symmetry dynamics from su(1,1)-symmetry problems ANALYTICALLY SOLVABLE 2×2 PT- SYMMETRY ... R. GRIMAUDO et al.

R. Grimaudo, A. S.M. De Castro, Hiromichi Nakazato, A. Messina

Research output: Contribution to journalArticle

Abstract

A protocol for explicitly constructing the exact time-evolution operators generated by 2×2 time-dependent PT-symmetry Hamiltonians is reported. Its mathematical applicability is illustrated with the help of appropriate examples. The physical relevance of the proposed approach within gain-loss system scenarios, like two coupled waveguides, is discussed in detail.

Original languageEnglish
Article number052103
JournalPhysical Review A
Volume99
Issue number5
DOIs
Publication statusPublished - 2019 May 3

Fingerprint

symmetry
waveguides
operators

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Analytically solvable 2×2 PT -symmetry dynamics from su(1,1)-symmetry problems ANALYTICALLY SOLVABLE 2×2 PT- SYMMETRY ... R. GRIMAUDO et al. / Grimaudo, R.; De Castro, A. S.M.; Nakazato, Hiromichi; Messina, A.

In: Physical Review A, Vol. 99, No. 5, 052103, 03.05.2019.

Research output: Contribution to journalArticle

@article{825a68b03e6b4d22a82fc08006109833,
title = "Analytically solvable 2×2 PT -symmetry dynamics from su(1,1)-symmetry problems ANALYTICALLY SOLVABLE 2×2 PT- SYMMETRY ... R. GRIMAUDO et al.",
abstract = "A protocol for explicitly constructing the exact time-evolution operators generated by 2×2 time-dependent PT-symmetry Hamiltonians is reported. Its mathematical applicability is illustrated with the help of appropriate examples. The physical relevance of the proposed approach within gain-loss system scenarios, like two coupled waveguides, is discussed in detail.",
author = "R. Grimaudo and {De Castro}, {A. S.M.} and Hiromichi Nakazato and A. Messina",
year = "2019",
month = "5",
day = "3",
doi = "10.1103/PhysRevA.99.052103",
language = "English",
volume = "99",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Analytically solvable 2×2 PT -symmetry dynamics from su(1,1)-symmetry problems ANALYTICALLY SOLVABLE 2×2 PT- SYMMETRY ... R. GRIMAUDO et al.

AU - Grimaudo, R.

AU - De Castro, A. S.M.

AU - Nakazato, Hiromichi

AU - Messina, A.

PY - 2019/5/3

Y1 - 2019/5/3

N2 - A protocol for explicitly constructing the exact time-evolution operators generated by 2×2 time-dependent PT-symmetry Hamiltonians is reported. Its mathematical applicability is illustrated with the help of appropriate examples. The physical relevance of the proposed approach within gain-loss system scenarios, like two coupled waveguides, is discussed in detail.

AB - A protocol for explicitly constructing the exact time-evolution operators generated by 2×2 time-dependent PT-symmetry Hamiltonians is reported. Its mathematical applicability is illustrated with the help of appropriate examples. The physical relevance of the proposed approach within gain-loss system scenarios, like two coupled waveguides, is discussed in detail.

UR - http://www.scopus.com/inward/record.url?scp=85065313458&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065313458&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.99.052103

DO - 10.1103/PhysRevA.99.052103

M3 - Article

AN - SCOPUS:85065313458

VL - 99

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

M1 - 052103

ER -