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Topological Quantum Computing Quantum Simulation

Defining Canonical Momenta for Discretised SU(2) Gauge Fields

arXiv

Authors: Marco Garofalo, Tobias Hartung, Karl Jansen, Johann Ostmeyer, Simone Romiti, Carsten Urbach

Year

2022

Paper ID

57942

Status

Preprint

Abstract Read

~2 min

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Abstract

In this proceeding contribution we discuss how to define canonical momenta for SU(N) lattice gauge theories in the Hamiltonian formalism in a basis where the gauge field operators are diagonal. For an explicit discretisation of SU(2) we construct the momenta and check the violation of the fundamental commutation relations.

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In this proceeding contribution we discuss how to define canonical momenta for SU(N) lattice gauge theories in the Hamiltonian formalism in a basis where the gauge field...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2210.15547 [2] arXiv https://arxiv.org/abs/2210.15547 [3] Publisher https://arxiv.org/abs/2210.15547

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