Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory

In this paper, a Hamiltonian lattice formulation for 2+1D compact Maxwell-Chern-Simons theory is derived. We analytically solve this theory and demonstrate that the mass gap in the continuum limit matches the well-known continuum formula. Our formulation preserves topological features such as the qu...

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Published inarXiv.org
Main Authors Peng, Changnan, Diamantini, Maria Cristina, Funcke, Lena, Syed Muhammad Ali Hassan, Jansen, Karl, Kühn, Stefan, Luo, Di, Naredi, Pranay
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.09.2024
Subjects
Eigenvectors
Fermions
Field theory (physics)
Quantum computers
Quantum Hall effect
Quantum theory
Topology
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Summary:In this paper, a Hamiltonian lattice formulation for 2+1D compact Maxwell-Chern-Simons theory is derived. We analytically solve this theory and demonstrate that the mass gap in the continuum limit matches the well-known continuum formula. Our formulation preserves topological features such as the quantization of the Chern-Simons level, the degeneracy of energy eigenstates, the non-trivial properties of Wilson loops, and the mutual and self statistics of anyons. This work lays the groundwork for future Hamiltonian-based simulations of Maxwell-Chern-Simons theory on classical and quantum computers.
ISSN:2331-8422