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  The Geometrical Basis of PT Symmetry

Sanchez-Soto, L., & Monzon, J. J. (2018). The Geometrical Basis of PT Symmetry. SYMMETRY-BASEL, 10(10): 494. doi:10.3390/sym10100494.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-F39E-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-F39F-8
Genre: Journal Article

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 Creators:
Sanchez-Soto, Luis1, 2, Author              
Monzon, Juan J., Author
Affiliations:
1Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364709              
2Complutense University of Madrid, ou_persistent22              

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Free keywords: PT symmetry; SL(2, C); hyperbolic geometry
 Abstract: We reelaborate on the basic properties of PT symmetry from a geometrical perspective. The transfer matrix associated with these systems induces a Mobius transformation in the complex plane. The trace of this matrix classifies the actions into three types that represent rotations, translations, and parallel displacements. We find that a PT invariant system can be pictured as a complex conjugation followed by an inversion in a circle. We elucidate the physical meaning of these geometrical operations and link them with measurable properties of the system.

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Language(s): eng - English
 Dates: 2018-10
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.3390/sym10100494
 Degree: -

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Title: SYMMETRY-BASEL
Source Genre: Journal
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Publ. Info: MDPI
Pages: - Volume / Issue: 10 (10) Sequence Number: 494 Start / End Page: - Identifier: ISSN: 2073-8994