期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 40, 期 43, 页码 13131-13148出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/40/43/020
关键词
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A generic PT-symmetric Hamiltonian is assumed tridiagonalized and truncated to N < infinity dimensions, H -> H-(chain model), and all its up-down symmetrized special cases with J = [N/2] real couplings are considered, H-(chain model) -> H-(N). Using symbolic manipulation and extrapolation techniques we find out that in the strongly non-Hermitian regime the secular equation gets partially factorized at all N. This enables us to reveal a fine-tuned alignment of the dominant couplings implying an asymptotically sharply spiked shape of the boundary of the J-dimensional quasi-Hermiticity domain D-(N) in which all the spectrum of energies E-n((N)) remains real and observable.
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