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Simple Hamiltonian for quantum simulation of strongly coupled <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math> SU(2) lattice gauge theory on a honeycomb lattice

Berndt Müller, Xiaojun Yao

2023Physical review. D/Physical review. D.27 citationsDOIOpen Access PDF

Abstract

We find a simple spin Hamiltonian to describe physical states of ($2+1$)-dimensional SU(2) lattice gauge theory on a honeycomb lattice with a truncation of the electric field representation at ${j}_{\mathrm{max}}=\frac{1}{2}$. The simple spin Hamiltonian contains only local products of Pauli matrices, even though Gauss's law has been completely integrated out.

Topics & Concepts

Hamiltonian (control theory)PhysicsLattice (music)Mathematical physicsPauli matricesQuantum mechanicsMathematicsMathematical optimizationAcousticsPhysics of Superconductivity and MagnetismCold Atom Physics and Bose-Einstein CondensatesQuantum many-body systems
Simple Hamiltonian for quantum simulation of strongly coupled <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math> SU(2) lattice gauge theory on a honeycomb lattice | Litcius