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Quantum Simulation
Entanglement Theory Quantum Correlations
Hidden antiunitary symmetry behind "accidental" degeneracy and its protection of degeneracy
arXiv
Authors: Jing-Min Hou, Wei Chen
Year
2017
Paper ID
44590
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
Abstract
In quantum mechanics, accidental degeneracy refers to energy degeneracy that occurs coincidentally, without any protection by symmetry. Here, we prove a theorem stating that any two-fold degeneracy (accidental or not) in a quantum system is protected by a novel hidden symmetry, which can be expressed by an antiunitary operator with its square being -1. In this sense, the so-called accidental degeneracy is not really accidental, and this actually implies a hidden antiunitary symmetry.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- In quantum mechanics, accidental degeneracy refers to energy degeneracy that occurs coincidentally, without any protection by symmetry.
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