Anomalous mechanisms of the loss of observability in non-Hermitian quantum models
2020
Quantum phase transitions in certain non-Hermitian systems controlled by non-tridiagonal Hamiltonian matrices are found anomalous. In contrast to the known models with tridiagonal-matrix structure in which the geometric multiplicity of the completely degenerate energy eigenvalue appears always equal to one, this multiplicity is found larger than one in the present models. The phenomenon is interpreted as a confluence of several decoupled Kato's exceptional points of equal or different orders.
Keywords:
- Eigenvalues and eigenvectors
- Quantum mechanics
- Hermitian matrix
- Matrix (mathematics)
- Quantum
- Observability
- Quantum phase transition
- Degenerate energy levels
- Hamiltonian (quantum mechanics)
- Mathematical physics
- Mathematics
- Degeneracy (mathematics)
- Quantum electrodynamics
- Riemann surface
- Confluence
- Branch point
- Physics
- Correction
- Source
- Cite
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