Multiply Degenerate Exceptional Points and Quantum Phase Transitions

@article{Borisov2015MultiplyDE,
  title={Multiply Degenerate Exceptional Points and Quantum Phase Transitions},
  author={D. Borisov and Frantisek Ruzicka and M. Znojil},
  journal={International Journal of Theoretical Physics},
  year={2015},
  volume={54},
  pages={4293-4305}
}
  • D. Borisov, Frantisek Ruzicka, M. Znojil
  • Published 2015
  • Physics, Mathematics
  • International Journal of Theoretical Physics
  • 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-dimensional and time-parametrized quantum-lattice models with such a property is proposed and studied. All of them exhibit, at a real exceptional-point time t = 0, the Jordan-block spectral degeneracy structure of some of their observables sampled by Hamiltonian H(t) and site-position Q(t). The passes through the critical… CONTINUE READING

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