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Topological Quantum Computing Quantum Simulation

Boundary supersymmetry of 1+1 d fermionic SPT phases

arXiv
Authors: Abhishodh Prakash, Juven Wang

Year

2020

Paper ID

19013

Status

Preprint

Abstract Read

~2 min

Abstract Words

71

Citations

N/A

Abstract

We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or anti-unitary), are supersymmetric quantum mechanical systems. This supersymmetry does not require any fine-tuning of the underlying Hamiltonian, arises entirely as a consequence of the boundary 't Hooft anomaly that classifies the phase and is related to a `Bose-Fermi' degeneracy different in nature from other well known degeneracies such as Kramers doublets.

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  • We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.12320 [2] arXiv https://arxiv.org/abs/2011.12320 [3] Publisher https://arxiv.org/abs/2011.12320

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