When Is an Area Law Not an Area Law?

Entanglement entropy is typically proportional to area, but sometimes it acquires an additional logarithmic pre-factor. We offer some intuitive explanations for these facts.

[1]  John McGreevy,et al.  Area Law for Gapless States from Local Entanglement Thermodynamics , 2015, 1505.07106.

[2]  Dimitri Gioev,et al.  Entanglement entropy of fermions in any dimension and the Widom conjecture. , 2006, Physical review letters.

[3]  R. Sorkin Expressing entropy globally in terms of (4D) field-correlations , 2012, 1205.2953.

[4]  Lee,et al.  Quantum source of entropy for black holes. , 1986, Physical review. D, Particles and fields.

[5]  G. Vidal,et al.  Entanglement in quantum critical phenomena. , 2002, Physical review letters.

[6]  J Eisert,et al.  Entropy, entanglement, and area: analytical results for harmonic lattice systems. , 2005, Physical review letters.

[7]  J. Cardy,et al.  Entanglement entropy and quantum field theory , 2004, hep-th/0405152.

[8]  R. Sorkin,et al.  Spacetime entanglement entropy in 1 + 1 dimensions , 2013, 1311.7146.

[9]  R. Sorkin On the Entropy of the Vacuum Outside a Horizon , 2014, 1402.3589.

[10]  N. Tubman,et al.  Oscillating terms in the Renyi entropy of Fermi gases and liquids , 2012, 1211.0006.

[11]  M. Srednicki,et al.  Entropy and area. , 1993, Physical review letters.

[12]  B. Swingle Entanglement entropy and the Fermi surface. , 2009, Physical review letters.

[13]  Michael M Wolf Violation of the entropic area law for fermions. , 2006, Physical review letters.

[14]  V. Vedral,et al.  Entanglement in Many-Body Systems , 2007, quant-ph/0703044.

[15]  R. Myers,et al.  Universal corner entanglement from twist operators , 2015, 1507.06997.

[16]  Yasaman K Yazdi Zero modes and entanglement entropy , 2016, 1608.04744.

[17]  Sukhwinder Singh,et al.  Multiscale quantum simulation of quantum field theory using wavelets , 2014, 1412.0750.

[18]  J. Eisert,et al.  Area laws for the entanglement entropy - a review , 2008, 0808.3773.

[19]  J. Eisert,et al.  Colloquium: Area laws for the entanglement entropy , 2010 .