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Open Quantum Systems Decoherence
Quantum Simulation
On the Möbius transformation in the entanglement entropy of fermionic chains
arXiv
Authors: F. Ares, J. G. Esteve, F. Falceto, A. R. de Queiroz
Year
2015
Paper ID
26252
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
There is an intimate relation between entanglement entropy and Riemann surfaces. This fact is explicitly noticed for the case of quadratic fermionic Hamiltonians with finite range couplings. After recollecting this fact, we make a comprehensive analysis of the action of the Möbius transformations on the Riemann surface. We are then able to uncover the origin of some symmetries and dualities of the entanglement entropy already noticed recently in the literature. These results give further support for the use of entanglement entropy to analyse phase transition.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2015 reference point for readers tracking recent quantum research.
- There is an intimate relation between entanglement entropy and Riemann surfaces.
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