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Complex symmetric Hamiltonians and exceptional points of order four and five
- 1.0493748 - ÚJF 2019 RIV US eng J - Journal Article
Znojil, Miloslav
Complex symmetric Hamiltonians and exceptional points of order four and five.
Physical Review A. Roč. 98, č. 3 (2018), č. článku 032109. ISSN 2469-9926. E-ISSN 2469-9934
R&D Projects: GA ČR GA16-22945S
Institutional support: RVO:61389005
Keywords : Non-Hermitian Hamiltonians * models * quantum mechanics
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.907, year: 2018
A systematic elementary linear-algebraic construction of non-Hermitian Hamiltonians H = H(gamma) possessing exceptional points gamma = gamma((EP)) of higher orders is proposed. The implementation of the method leading to EPs of orders K = 4 and K = 5 is described in detail. Two distinct areas of applicability of our user-friendly benchmark models are conjectured: (1) in quantum mechanics of non-Hermitian systems and (2) in their experimental simulations via classical systems (e.g., coupled waveguides).
Permanent Link: http://hdl.handle.net/11104/0287069
Number of the records: 1