37 citations · 137 across the 7 of their papers we have counts for
8 papers
Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems
Frantisek Ruzicka, Kaustubh S. Agarwal, Yogesh N. Joglekar
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…
Quantum information dynamics in a high-dimensional parity-time-symmetric system
Zhihao Bian, Lei Xiao, Kunkun Wang +5
Non-Hermitian systems with parity-time () symmetry give rise to exceptional points (EPs) with exceptional properties that arise due to the coalescence of eigenvectors…
Conserved quantities in parity-time symmetric systems
Zhihao Bian, Lei Xiao, Kunkun Wang +6
Conserved quantities such as energy or the electric charge of a closed system, or the Runge-Lenz vector in Kepler dynamics are determined by its global, local, or accidental symmet…
Multi-well log-anharmonic oscillators
Miloslav Znojil, František Růžička
Quantum particle is considered confined in a toy-model potential possessing multiple minima. For the specific choice of the family of potentials (in the form of harmonic oscillator…
Quasi-hermitian lattices with imaginary zero-range interactions
Frantisek Ruzicka
We study a general class of PT-symmetric tridiagonal Hamiltonians with purely imaginary interaction terms in the quasi-hermitian representation of quantum mechanics. Our general Ha…
Hilbert space inner products for PT-symmetric Su-Schrieffer-Heeger models
Frantisek Ruzicka
A Su-Schrieffer-Heeger model with added PT-symmetric boundary term is studied in the framework of pseudo-hermitian quantum mechanics. For two special cases, a complete set of pseud…
Multiply Degenerate Exceptional Points and Quantum Phase Transitions
Denis I. Borisov, Frantisek Ruzicka, Miloslav Znojil
The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real. A new family of finite-dimens…
Three solvable matrix models of a quantum catastrophe
Geza Levai, Frantisek Ruzicka, Miloslav Znojil
Three classes of finite-dimensional models of quantum systems exhibiting spectral degeneracies called quantum catastrophes are described in detail. Computer-assisted symbolic manip…