Fragile PT-symmetry in a solvable model

Details Fragile PT-symmetry in a solvable model Fragile PT-symmetry in a solvable model

2004-03-17

arxiv.org/abs/math-ph/0403033v1

J. Math. Phys. 45 (2004) 4418 - 4430

Physics

Mathematical Physics

Prepared for presentation during VI-th Meeting of Math. Physicists (Czech. Phys. Soc.), March 19 - 20, 2004, Olomouc, Czech Re

Scientific paper

10.1063/1.1803928

One of the simplest pseudo-Hermitian models with real spectrum (viz., square-well on a real interval I of coordinates) is re-examined. A PT-symmetric complex deformation C of I is introduced and shown tractable via an innovated approach to matching conditions. The result is surprising: an arbitrarily small deformation I -> C implies a sudden collapse (i.e., the spontaneous PT-symmetry breaking) of virtually all the spectrum (i.e., up to its low-energy part).

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