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General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th,Quantum Physics, quant-ph
Abstract:
We explore the constraints following from requiring the Area Law in the
entanglement entropy in the context of loop quantum gravity. We find a unique
solution to the single link wave-function in the large j limit, believed to be
appropriate in the semi-classical limit. We then generalize our considerations
to multi-link coherent states, and find that the area law is preserved very
generically using our single link wave-function as a building block. Finally,
we develop the framework that generates families of multi-link states that
preserve the area law while avoiding macroscopic entanglement, the space-time
analogue of "Schroedinger cat". We note that these states, defined on a given
set of graphs, are the ground states of some local Hamiltonian that can be
constructed explicitly. This can potentially shed light on the construction of
the appropriate Hamiltonian constraints in the LQG framework.
