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Particle-Hole Character of the Higgs and Goldstone Modes in Strongly Interacting Lattice Bosons

Particle-Hole Character of the Higgs and Goldstone Modes in Strongly Interacting Lattice Bosons

We study the low-energy excitations of the Bose-Hubbard model in the strongly-interacting superfluid phase using a Gutzwiller approach and extract the single-particle and single-hole excitation amplitudes for each mode. We report emergent mode-dependent particle-hole symmetry on specific arc-shaped lines in the phase diagram connecting the well-known Lorentz-invariant limits of the …