Linear mapping between magnetic susceptibility and entanglement in
conventional and exotic one-dimensional superfluids
- URL: http://arxiv.org/abs/2003.08148v2
- Date: Wed, 17 Jun 2020 01:37:32 GMT
- Title: Linear mapping between magnetic susceptibility and entanglement in
conventional and exotic one-dimensional superfluids
- Authors: D. Arisa and V. V. Fran\c{c}a
- Abstract summary: We numerically study the intrinsic relationship between the two quantities at zero temperature.
For conventional and exotic superfluids the mapping between magnetic susceptibility and entanglement is surprisingly simple: inversely proportional.
This linear behavior could be exploited to quantify entanglement in current cold-atoms and condensed-matter experiments.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the mapping between magnetic susceptibility and entanglement
in the metallic, insulating, conventional and exotic polarized superfluid
phases of one-dimensional fermionic lattice systems as described by the Hubbard
model. Motivated by recent proposals for determining and quantifying
entanglement via magnetic susceptibility measurements, we numerically study the
intrinsic relationship between the two quantities at zero temperature. We find
signatures of the metal-insulator transition and of the BCS-BEC crossover, but
the most relevant result is that for conventional and exotic superfluids the
mapping between magnetic susceptibility and entanglement is surprisingly
simple: inversely proportional. This linear behavior could be exploited to
quantify entanglement in current cold-atoms and condensed-matter experiments.
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