Entanglement Entropy in Non-Relativistic Field Theories
arXiv:0909.0277 · doi:10.1007/JHEP04(2010)101
Abstract
We calculate entanglement entropy in a non-relativistic field theory described by the Schrödinger operator. We demonstrate that the entropy is characterized by i) the area law and ii) UV divergences that are identical to those in the relativistic field theory. These observations are further supported by a holographic consideration. We use the non-relativistic symmetry and completely specify entanglement entropy in large class of non-relativistic theories described by the field operators polynomial in derivatives. We suggest that the area law of the entropy can be tested in experiments with condensed matter systems such as liquid helium.
4 pages; v2: discussion of interacting fields included
References in corpus (7)
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Holographic Entanglement Entropy: An Overview
- Entanglement entropy, conformal invariance and extrinsic geometry
- On String Theory Duals of Lifshitz-like Fixed Points
- Entanglement Entropy in the O(N) model
- Entanglement entropy of black holes and AdS/CFT correspondence
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