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Excited-state quantum phase transitions studied from a non-Hermitian perspective
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SYSNO ASEP 0487461 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Excited-state quantum phase transitions studied from a non-Hermitian perspective Author(s) Šindelka, Milan (FZU-D)
Santos, L.F. (US)
Moiseyev, N. (IL)Number of authors 3 Article number 010103 Source Title Physical Review A. - : American Physical Society - ISSN 2469-9926
Roč. 95, č. 1 (2017), s. 1-5Number of pages 5 s. Language eng - English Country US - United States Keywords exceptional points ; systems ; model ; signatures ; dynamics ; freedom ; spectra Subject RIV BL - Plasma and Gas Discharge Physics OECD category Fluids and plasma physics (including surface physics) R&D Projects LG15013 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support FZU-D - RVO:68378271 UT WOS 000398367800001 EID SCOPUS 85011655153 DOI 10.1103/PhysRevA.95.010103 Annotation A main distinguishing feature of non-Hermitian quantum mechanics is the presence of exceptional points (EPs). They correspond to the coalescence of two energy levels and their respective eigenvectors. We show that for finite systems, the exact degeneracies (EPs) obtained with the non-Hermitian LMG Hamiltonian continued into the complex plane are directly linked with the avoided crossings that characterize the ESQPTs for the real (physical) LMG Hamiltonian. The values of the complex control parameter α that lead to the EPs approach the real axis as the system size N →∞. This happens for both the EPs that are close to the separatrix that marks the ESQPT and also for those that are far away, although in the latter case, the convergence rate is smaller.With the method of Pad´e approximants, we can extract the critical value of α.
Workplace Institute of Physics Contact Kristina Potocká, potocka@fzu.cz, Tel.: 220 318 579 Year of Publishing 2018
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