Hilbert space fragmentation in a long-range system

Abstract

We study the role of the interaction range on the Hilbert space fragmentation and many-body scar states considering a spin-1/2 many-body Hamiltonian describing a generalized Fredkin spin chain. We show that both scar states and weak fragmentation of the Hilbert space survive for almost any range of the coupling. Finally we investigate the effects of such structures of the Hilbert space on the out-of-equilibrium dynamics, triggered by certain initial states, characterized by either local persistent oscillations or non-uniform stationary profile of the magnetization.

8 pages, 10 figures

References in corpus (9)

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• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
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• Minimal model for Hilbert space fragmentation with local constraints
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Cited by in corpus (11)

• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
• Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains
• Local integrals of motion in dipole-conserving models with Hilbert space fragmentation
• Probing Hilbert space fragmentation and the block inverse participation ratio
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Bipartite Sachdev-Ye Models with Read-Saleur Symmetries
• Symmetry-induced fragmentation and dissipative time crystal
• Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos
• Tunable Hilbert space fragmentation and extended critical regime