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Open Quantum Systems Decoherence
Quantum Simulation
Supersymmetry and PT-Symmetric Spectral Bifurcation
arXiv
Authors: Kumar Abhinav, Prasanta K. Panigrahi
Year
2010
Paper ID
10630
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
Dynamical systems exhibiting both PT and Supersymmetry are analyzed in a general scenario. It is found that, in an appropriate parameter domain, the ground state may or may not respect PT-symmetry. Interestingly, in the domain where PT-symmetry is not respected, two superpotentials give rise to one potential; whereas when the ground state respects PT, this correspondence is unique. In both scenarios, supersymmetry and shape-invariance are intact, through which one can obtain eigenfunctions and eigenstates exactly. Our procedure enables one to generate a host of complex potentials which are not PT-symmetric, and can be exactly solved.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2010 reference point for readers tracking recent quantum research.
- Dynamical systems exhibiting both PT and Supersymmetry are analyzed in a general scenario.
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