Matrix product symmetries and breakdown of thermalization from hard rod deformations

Abstract

We construct families of exotic spin-1/2 chains using a procedure called ``hard rod deformation''. We treat both integrable and non-integrable examples. The models possess a large non-commutative symmetry algebra, which is generated by matrix product operators with fixed small bond dimension. The symmetries lead to Hilbert space fragmentation and to the breakdown of thermalization. As an effect, the models support persistent oscillations in non-equilibrium situations. Similar symmetries have been reported earlier in integrable models, but here we show that they also occur in non-integrable cases.

v2: references corrected

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• Weak ergodicity breaking with isolated integrable sectors
• Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
• Boundary dissipative spin chains with partial solvability inherited from system Hamiltonians
• Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints