Free fermions violate the area law for entanglement entropy

✍ Scribed by R.C. Helling; W. Spitzer

• Book ID: 105357841
• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 176 KB
• Volume: 58
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.201000029

✦ Synopsis

Abstract

We show that the entanglement entropy associated to a region grows faster than the area of its boundary surface. This is done by proving a special case of a conjecture due to Widom that yields a surprisingly simple expression for the leading behaviour of the entanglement entropy.