Preprint

PUBDB-2026-02474

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Hamiltonian lattice formulation of compact Maxwell-Chern-Simons theory

Peng, C. ; Diamantini, M. C. ; Funcke, L. ; Hassan, S. M. A. ; Jansen, K.DESY* ; Kühn, S.DESY* ; Luo, D. ; Naredi, P. (Corresponding author)Extern*DESY*

2026

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Report No.: arXiv:2407.20225

Abstract: In this paper, we derive a Hamiltonian lattice formulation of the 2+1D compact Maxwell-Chern-Simons theory within the zero instanton sector. We analytically solve the model and show that the mass gap in the continuum limit precisely reproduces the well-known continuum result. The formulation preserves key topological features, including the quantization of the Chern-Simons level, the degeneracy of energy eigenstates, the nontrivial properties of Wilson loops, and the mutual and self-statistics of anyons. By reconciling gauge compactness, locality, and canonical quantization within a unified framework, this work provides a foundation for conceivable future Hamiltonian-based simulations of lattice Maxwell-Chern-Simons theory. It aims to bridge topological field theory and quantum information science, with the goal of enabling Hamiltonian-based quantum simulations of Maxwell-Chern-Simons theory on both classical and quantum computers.

Note: Phys. Rev. D 114, 034511 (2026)

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Contributing Institute(s):

1. Centre f. Quantum Techno. a. Application (CQTA)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970) (511713970)
3. QUEST - QUantum computing for Excellence in Science and Technology (101087126) (101087126)
4. ENGAGE - Enabling the Next-Generation of Computational Physicists and Engineers (101034267) (101034267)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Peng, C. ; Diamantini, M. C. ; Funcke, L. ; Hassan, S. M. A.Extern* ; Jansen, K.DESY* ; Kuehn, S.DESY* ; Luo, D. ; Naredi, P. (Corresponding author)DESY*
Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory
Physical review / D 114(3), 034511 (2026) [10.1103/rrzw-s456]2026     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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