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arXiv · 2407.20225

Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory

Changnan Peng·Maria Cristina Diamantini·Lena Funcke·Syed Muhammad Ali Hassan·Karl Jansen·Stefan Kühn·Di Luo·Pranay Naredi
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Abstract

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.

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Changnan Peng, Maria Cristina Diamantini, Lena Funcke, Syed Muhammad Ali Hassan, Karl Jansen, Stefan Kühn, Di Luo, Pranay Naredi. 2024-07-29. Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory. https://doi.org/10.1103/rrzw-s456

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