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arXiv · 1909.11097

Bulk Geometry of the Many Body Localized Phase from Wilson-Wegner Flow

Xiongjie Yu·David Pekker·Bryan K. Clark
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Abstract

Tensor networks are a powerful formalism for transforming one set of degrees of freedom to another. They have been heavily used in analyzing the geometry of bulk/boundary correspondence in conformal field theories. Here we develop a tensor-network version of the Wilson-Wegner Renormalization Group Flow equations to efficiently generate a unitary tensor network which diagonalizes many-body localized Hamiltonians. Treating this unitary tensor network as a bulk geometry, we find this emergent geometry corresponds to the shredded horizon picture: the circumference of the network shrinks exponentially with distance into the bulk, with spatially distant points being largely disconnected.

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Xiongjie Yu, David Pekker, Bryan K. Clark. 2019-09-24. Bulk Geometry of the Many Body Localized Phase from Wilson-Wegner Flow. https://arxiv.org/abs/1909.11097

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