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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

Edge Hamiltonian for Free Fermion Quantum Hall Models

arXiv

Authors: Simon Du, Martin Fraas, Abi Gopal, Nathan Singh

Year

2025

Paper ID

16216

Status

Preprint

Abstract Read

~2 min

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Abstract

We investigate a proposal of Kitaev for a microscopic construction of a Hamiltonian intended to describe the edge dynamics of a quantum Hall system. We show that the construction works in the setting of translation-invariant free-fermion Hamiltonians. In this case, the resulting edge Hamiltonian exhibits only edge modes, and these modes have the correct chirality.

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We investigate a proposal of Kitaev for a microscopic construction of a Hamiltonian intended to describe the edge dynamics of a quantum Hall system.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.04430 [2] arXiv https://arxiv.org/abs/2512.04430 [3] Publisher https://arxiv.org/abs/2512.04430

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