Area Laws and Topological Order in a Many-body Localized State

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" summary

Proposes MBL as eigenstates related to Anderson Slater determinants by a finite-depth local unitary, implying an area law for excited eigenstates and emergent local conserved operators (l-bits). Uses entanglement-entropy numerics, perturbative Fock-space arguments and rare-region scaling (max-cut entropy ~log L) to distinguish thermal vs localized phases. Applies this to stabilize topological order at finite energy density by localizing quasiparticles in a disordered toric-code–like model under the hierarchy hopping << disorder << gap.

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" chapters (7)

1. 0:00Introduction
2. 1:25Motivation
3. 6:55Fanspot
4. 17:55Localized States
5. 32:52Hamiltonians
6. 43:02Entropy
7. 49:32Topological Order

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