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Probability-preserving evolution in a non-Hermitian two-band model
- Publication Year :
- 2012
-
Abstract
- A non-Hermitian PT-symmetric system can have full real spectrum but does not ensure probability preserving time evolution, in contrast to that of a Hermitian system. We present a non-Hermitian two-band model, which is comprised of dimerized hopping terms and staggered imaginary on-site potentials, and study the dynamics in the exact PT-symmetric phase based on the exact solution. It is shown that an initial state, which does not involve two equal-momentum-vector eigenstates in different bands, obeys perfectly probability-preserving time evolution in terms of the Dirac inner product. Beyond this constriction, the quasi-Hermitian dynamical behaviors, such as non-spreading propagation and fractional revival of a Gaussian wave packet, are also observed.<br />8 pages, 14 figures
- Subjects :
- Physics
Quantum Physics
Dirac (video compression format)
Wave packet
Time evolution
FOS: Physical sciences
Hermitian matrix
Atomic and Molecular Physics, and Optics
Exact solutions in general relativity
Quantum mechanics
Product (mathematics)
Hermitian function
Quantum Physics (quant-ph)
Eigenvalues and eigenvectors
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....0f79014bc489ba26532b9d4b9ac054ef