2024/12/12 by Graham Van Goffrier, Debasish Banerjee, Van Goffrier, Graham +7
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Physics of Superconductivity and Magnetism
paper · pdf · doi:10.48550/arxiv.2412.09691
Quantum link models (QLMs) are generalizations of Wilson's lattice gauge\ntheory formulated with finite-dimensional link Hilbert spaces. In certain\ncases, the non-Abelian Gauss Law constraint can be exactly solved, and the\ngauge invariant subspace embedded onto local spin Hamiltonians for efficient\nquantum simulation. In (1+1)d previous studies of the SO(3) QLM coupled to\nadjoint fermionic matter have been shown to reflect key properties of QCD and\nnuclear physics, including distinct confining/deconfining phases and hadronic\nbound states. We extend the model to (2+1)d dimensions for the first time,\nand report on our initial results. We review the construction of\ngauge-invariant state space for the proposed models, and study the\nsingle-plaquette ground state via exact-diagonalisation. We provide indications\nof a rich phase diagram which shows both spontaneous and explicit chiral\nsymmetry breaking, confinement, and distinct magnetic phases characterised by\ndifferent plaquette expectation values.\n