Webminar on Friday, December 4th, 12:00 h

Speaker: Sudipto Singha Roy (IFT-UAM-CSIC)

Title:  Emergent geometry from entanglement distribution

Entanglement is one of the most relevant features of the quantum world,
constituting the main resource in quantum technologies and
characterizing the different phases of quantum matter. Study of the
distribution of quantum entanglement in different parts of the quantum
many-body states often unveils many interesting features related to the
physical system. In this talk, I will discuss one such interesting
features, namely, the area law for the entanglement entropy of
low-energy states of local Hamiltonians. In particular, I will present
results from our recent works where we attempt to explore the connection
between the area-law for entanglement and geometry, which emerges from
the distribution of quantum entanglement across all possible
bipartitions of a pure quantum many-body state. I will discuss the
methodology in detail, along with some numerical as well as exact
results. In addition to this, some examples will be shown where the
geometry stems from the entanglement distribution may lead to a geometry
very different than suggested by the Hamiltonian.

Reference: S. Singha Roy, S. N. Santalla, J. Rodríguez-Laguna, G.
Sierra, Entanglement as geometry and flow, Phys. Rev. B 101, 195134 (2020).


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