Entanglement-enabled symmetry-breaking orders
- URL: http://arxiv.org/abs/2207.08828v2
- Date: Sat, 23 Mar 2024 19:09:44 GMT
- Title: Entanglement-enabled symmetry-breaking orders
- Authors: Cheng-Ju Lin, Liujun Zou,
- Abstract summary: A spontaneous symmetry-breaking order is conventionally described by a tensor-product wave-function of some few-body clusters.
We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking orders, which cannot be realized by any tensor-product state.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A spontaneous symmetry-breaking order is conventionally described by a tensor-product wave-function of some few-body clusters. We discuss a type of symmetry-breaking orders, dubbed entanglement-enabled symmetry-breaking orders, which cannot be realized by any tensor-product state. Given a symmetry breaking pattern, we propose a criterion to diagnose if the symmetry-breaking order is entanglement-enabled, by examining the compatibility between the symmetries and the tensor-product description. For concreteness, we present an infinite family of exactly solvable gapped models on one-dimensional lattices with nearest-neighbor interactions, whose ground states exhibit entanglement-enabled symmetry-breaking orders from a discrete symmetry breaking. In addition, these ground states have gapless edge modes protected by the unbroken symmetries. We also propose a construction to realize entanglement-enabled symmetry-breaking orders with spontaneously broken continuous symmetries. Under the unbroken symmetries, some of our examples can be viewed as symmetry-protected topological states that are beyond the conventional classifications.
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