Exploring bosonic and fermionic link models on (3 + 1)D tubes

Abstract

Quantum link models have attracted a lot of attention in recent times as a generalization of Wilson’s latticegauge theories, and are particularly suitable for realization on quantum simulators and computers. These modelsare known to host new phases of matter and act as a bridge between particle and condensed matter physics. In thispaper, we study the Abelian U(1) lattice gauge theory in (3 + 1)D tubes using large-scale exact diagonalization.We are then able to motivate the phase diagram of the model with finite-size scaling techniques, and in particularpropose the existence of a Coulomb phase. Furthermore, we introduce models involving fermionic quantumlinks, which generalize the gauge degrees of freedom to be of fermionic nature. We prove that while the spectraremain identical between the bosonic and the fermionic versions of the U(1)-symmetric quantum link models in(2 + 1)D, they are different in (3 + 1)D. We discuss the prospects of realizing the magnetic field interactions ascorrelated hopping in quantum simulator experiments

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ORCID for Debasish Banerjee: orcid.org/0000-0003-0244-4337

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