Geometrical aspects of PT-invariant transfer matrices

Monzon, J. J.; Barriuso, A. G.; Montesinos-Amilibia, J. M.; Sanchez-Soto, L. L.

doi:10.1103/PhysRevA.87.012111

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Geometrical aspects of PT-invariant transfer matrices

MPS-Authors

/persons/resource/persons201174

Sanchez-Soto, L. L.
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Monzon, J. J., Barriuso, A. G., Montesinos-Amilibia, J. M., & Sanchez-Soto, L. L. (2013). Geometrical aspects of PT-invariant transfer matrices. PHYSICAL REVIEW A, 87(1): 012111. doi:10.1103/PhysRevA.87.012111.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-67C3-4

Abstract

We show that the transfer matrix for a PT-invariant system, when recast in the appropriate variables, can be interpreted as a point in the (3 + 1)-dimensional de Sitter space. We introduce a natural PT-invariant composition law for these matrices and confirm that their action appears as a Lorentz transformation. We elucidate the geometrical meaning of the PT symmetry breaking and suggest that the cosmological event horizon arising in the de Sitter metric can be can be unraveled with a simple optical scheme. DOI: 10.1103/PhysRevA.87.012111