Non-Hermitian dynamics from Hermitian systems: Do-it-yourself-Reference-Cited by-同舟云学术

Non-Hermitian dynamics from Hermitian systems: Do-it-yourself

Published:2024-01-22 Issue:22 Volume:38 Page:
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Villegas-Martínez Braulio M.¹²^ORCID,Soto-Eguibar Francisco¹^ORCID,Moya-Cessa Héctor M.¹^ORCID,Hojman Sergio A.³⁴⁵^ORCID,Asenjo Felipe A.⁶^ORCID

Affiliation:

1. Instituto Nacional de Astrofísica Óptica y Electrónica, Calle Luis Enrique Erro No. 1, Santa María Tonantzintla, Puebla 72840, Mexico

2. Centro de Investigación en Ingeniería y Ciencias Aplicadas (CIICAp), Universidad Autónoma del Estado de Morelos, Cuernavaca 62209, Morelos, Mexico

3. Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Santiago 7491169, Chile

4. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago 7800003, Chile

5. Centro de Recursos Educativos Avanzados, CREA, Santiago 7500018, Chile

6. Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago 7491169, Chile

Abstract

We show that several Hamiltonians that are [Formula: see text] symmetric may be taken to Hermitian Hamiltonians via a non-unitary transformation and vice versa. Therefore, a recipe to produce tractable non-Hermitian Hamiltonians is given (a set of instructions to do it yourself). We also show that for some specific Hamiltonians such non-unitary transformations may be associated, via a fractional-Wick rotation, to complex time.

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984924501781

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