Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory

• URL: http://arxiv.org/abs/2407.20225v2
• Date: Tue, 10 Sep 2024 23:15:14 GMT
• Title: Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory
• Authors: Changnan Peng, Maria Cristina Diamantini, Lena Funcke, Syed Muhammad Ali Hassan, Karl Jansen, Stefan Kühn, Di Luo, Pranay Naredi,
• Abstract summary: We analytically solve this theory and demonstrate that the mass gap in the continuum limit matches the well-known continuum formula. This work lays the groundwork for future Hamiltonian-based simulations of Maxwell-Chern-Simons theory on classical and quantum computers.
• Score: 0.602276990341246
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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