2D Hamiltonians with exotic bipartite and topological entanglement
- URL: http://arxiv.org/abs/2305.07028v1
- Date: Thu, 11 May 2023 17:59:58 GMT
- Title: 2D Hamiltonians with exotic bipartite and topological entanglement
- Authors: Shankar Balasubramanian, Ethan Lake, Soonwon Choi
- Abstract summary: Ground state entanglement in 2D Hamiltonians cannot violate area law scaling by more than a multiplicative logarithmic factor.
We explicitly present two classes of models defined by local, translation-invariant Hamiltonians.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present a class of exactly solvable 2D models whose ground states violate
conventional beliefs about entanglement scaling in quantum matter. These
beliefs are (i) that area law entanglement scaling originates from local
correlations proximate to the boundary of the entanglement cut, and (ii) that
ground state entanglement in 2D Hamiltonians cannot violate area law scaling by
more than a multiplicative logarithmic factor. We explicitly present two
classes of models defined by local, translation-invariant Hamiltonians, whose
ground states can be exactly written as weighted superpositions of framed loop
configurations. The first class of models exhibits area-law scaling, but of an
intrinsically nonlocal origin so that the topological entanglement entropy
scales with subsystem sizes. The second class of models has a rich ground state
phase diagram that includes a phase exhibiting volume law entanglement.
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