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Analytically solvable $2 \times 2 P T$ -symmetry dynamics from su(1,1)-symmetry problems

R. Grimaudo, A. S. M. de Castro, H. Nakazato, and A. Messina

Phys. Rev. A 99, 052103 – Published 3 May 2019

Abstract

A protocol for explicitly constructing the exact time-evolution operators generated by $2 \times 2$ time-dependent $P T$ -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.

Received 12 March 2019

DOI:https://doi.org/10.1103/PhysRevA.99.052103

Physics Subject Headings (PhySH)

Classical optics

PT-symmetry Schroedinger equation Two-level models

General PhysicsAtomic, Molecular & OpticalQuantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

R. Grimaudo^1,2,*, A. S. M. de Castro³, H. Nakazato⁴, and A. Messina^2,5

¹Dipartimento di Fisica e Chimica dell'Università di Palermo, Via Archirafi, 36, I-90123 Palermo, Italy
²INFN, Sezione di Catania, I-95123 Catania, Italy
³Universidade Estadual de Ponta Grossa, Departamento de Física, CEP 84030-900, Ponta Grossa, PR, Brazil
⁴Department of Physics, Waseda University, Tokyo 169-8555, Japan
⁵Dipartimento di Matematica ed Informatica dell'Università di Palermo, Via Archirafi, 34, I-90123 Palermo, Italy

^*[email protected]

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Vol. 99, Iss. 5 — May 2019

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Physical Review A

covering atomic, molecular, and optical physics and quantum science

Analytically solvable $2 \times 2 P T$ -symmetry dynamics from su(1,1)-symmetry problems

R. Grimaudo, A. S. M. de Castro, H. Nakazato, and A. Messina

Phys. Rev. A 99, 052103 – Published 3 May 2019

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Article Text (Subscription Required)

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Physical Review A

covering atomic, molecular, and optical physics and quantum science

Analytically solvable 2×2 PT-symmetry dynamics from su(1,1)-symmetry problems

R. Grimaudo, A. S. M. de Castro, H. Nakazato, and A. Messina

Phys. Rev. A 99, 052103 – Published 3 May 2019

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

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Analytically solvable $2 \times 2 P T$ -symmetry dynamics from su(1,1)-symmetry problems