Emergent geometry from entanglement structure

• URL: http://arxiv.org/abs/2104.03645v1
• Date: Thu, 8 Apr 2021 10:01:58 GMT
• Title: Emergent geometry from entanglement structure
• Authors: Sudipto Singha Roy, Silvia N. Santalla, Javier Rodr\'iguez-Laguna, Germ\'an Sierra
• Abstract summary: We reveal the geometry, emerged from the entanglement structure of any general $N$-party pure quantum many-body state. We show this representation is often exact and may lead to a geometry very different than suggested by the Hamiltonian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We attempt to reveal the geometry, emerged from the entanglement structure of any general $N$-party pure quantum many-body state by representing entanglement entropies corresponding to all $2^N $ bipartitions of the state by means of a generalized adjacency matrix. We show this representation is often exact and may lead to a geometry very different than suggested by the Hamiltonian. Moreover, in all the cases, it yields a natural entanglement contour, similar to previous proposals. The formalism is extended for conformal invariant systems, and a more insightful interpretation of entanglement is presented as a flow among different parts of the system.

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