# 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} }

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

14 Citations

Complex symmetric Hamiltonians and exceptional points of order four and five

- Physics, Mathematics
- 2018

5

Parity-Time Symmetry and the Toy Models of Gain-Loss Dynamics near the Real Kato's Exceptional Points

- Computer Science, Physics
- 2016

8

Mathematical and Physical Meaning of the Crossings of Energy Levels in {\mathscr {PT}}-Symmetric Systems

- Physics, Mathematics
- 2016

3

Admissible perturbations and false instabilities in PT -symmetric quantum systems

- Physics, Mathematics
- 2018

11

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 56 REFERENCES