2007/01/01 by Pavel Cejnar, P. Cejnar, Stefan Heinze +4 · 2 citations
Agricultural and Biological Sciences · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · Social Sciences · #Agriculture and Rural Development Research #French Urban and Social Studies #Historical and socio-economic studies of Spain and related regions #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.99.100601
published as Phys.Rev.Lett.99:100601,2007 · 4 pages
openalex publication_date 2007/01/01 · arxiv created 2007/07/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/04/28
Degeneracies near the real axis in a complex-extended parameter space of a Hermitian Hamiltonian are studied. We present a method to measure distributions of such degeneracies on the Riemann sheet of a selected level and apply it in classification of quantum phase transitions. The degeneracies are shown to behave similarly as complex zeros of a partition function.