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arXiv · 2104.03645

Emergent geometry from entanglement structure

Sudipto Singha Roy·Silvia N. Santalla·Javier Rodríguez-Laguna·Germán Sierra
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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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Sudipto Singha Roy, Silvia N. Santalla, Javier Rodríguez-Laguna, Germán Sierra. 2021-04-08. Emergent geometry from entanglement structure. https://doi.org/10.1007/978-3-030-55777-5_33

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