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Topological Quantum Computing
Quantum Simulation
Scattering along a complex loop in a solvable PT-symmetric model
arXiv
Authors: Miloslav Znojil
Year
2011
Paper ID
29260
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
Citations
N/A
Abstract
A non-unitary version of quantum scattering is studied via an exactly solvable toy model. The model is merely asymptotically local since the smooth path of the coordinate is admitted complex in the non-asymptotic domain. At any real angular-momentum-like parameter the reflection R and transmission T are shown to change with the winding number (i.e., topology) of the path. The points of unitarity appear related to the points of existence of quantum-knot bound states.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- A non-unitary version of quantum scattering is studied via an exactly solvable toy model.
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