Quasi-Nambu-Goldstone modes in many-body scar models

Abstract

From the quasisymmetry-group perspective [Phys. Rev. Lett. 126, 120604 (2021)], we show the universal existence of collective, coherent modes of excitations in many-body scar models in the degenerate limit, where the energy spacing in the scar tower vanishes. The number of these modes, as well as the quantum numbers carried by them, are given, not by the symmetry of the Hamiltonian, but by the quasisymmetry of the scar tower: hence the name quasi-Nambu-Goldstone modes. Based on this, we draw a concrete analogy between the paradigm of spontaneous symmetry breaking and the many-body scar physics in the degenerate limit.

27 pages, 14 figures

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Cited by in corpus (10)

• Floquet-engineered Emergent Massive Nambu-Goldstone Modes
• Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
• Rigorous lower bound on dynamical exponents in gapless frustration-free systems
• Spectroscopic Feature of Quantum Many-Body Scar States
• Frustration-free free fermions and beyond
• Quasi-local Frustration-Free Free Fermions
• Frustration-free free fermions
• Physical Pictures for Quasisymmetry in Crystals
• Additional quantum many-body scars of the spin-$1$ $XY$ model with Fock-space cages and commutant algebras
• Construction of asymptotic quantum many-body scar states in the SU($N$) Hubbard model