Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems

0555995 - ÚJF 2022 RIV GB eng C - Konferenční příspěvek (zahraniční konf.)
Růžička, František - Agarwal, K. S. - Joglekar, Y. N.
Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems.
Journal of Physics: Conference Series. Vol. 2038. Bristol: IOP Publishing Ltd., 2021, č. článku 012021. ISSN 1742-6588.
[Virtual Seminar Series on Pseudo-Hermitian Hamiltonians in Quantum Physics, PTSeminar 2020. London (GB), 05.03.2020-05.03.2020]
Institucionální podpora: RVO:61389005
Klíčová slova: Hamiltonians * non-Hermitian * PT-symmetry
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Over the past two decades, open systems that are described by a non-Hermitian Hamiltonian have become a subject of intense research. These systems encompass classical wave systems with balanced gain and loss, semiclassical models with mode selective losses, and minimal quantum systems, and the meteoric research on them has mainly focused on the wide range of novel functionalities they demonstrate. Here, we address the following questions: Does anything remain constant in the dynamics of such open systems? What are the consequences of such conserved quantities? Through spectral-decomposition method and explicit, recursive procedure, we obtain all conserved observables for general PT -symmetric systems. We then generalize the analysis to Hamiltonians with other antilinear symmetries, and discuss the consequences of conservation laws for open systems. We illustrate our findings with several physically motivated examples.
Trvalý link: http://hdl.handle.net/11104/0330362