Entanglement scaling in critical two-dimensional fermionic and bosonic systems

Journal Article · Tue Aug 15 04:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.022329· OSTI ID:20853046

Barthel, T; Chung, M -C; Schollwoeck, U ^[1]

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1. Institute for Theoretical Physics C, RWTH Aachen, D-52056 Aachen (Germany)

We relate the reduced density matrices of quadratic fermionic and bosonic models to their Green's function matrices in a unified way and calculate the scaling of the entanglement entropy of finite systems in an infinite universe exactly. For critical fermionic two-dimensional (2D) systems at T=0, two regimes of scaling are identified: generically, we find a logarithmic correction to the area law with a prefactor dependence on the chemical potential that confirms earlier predictions based on the Widom conjecture. If, however, the Fermi surface of the critical system is zero-dimensional, then we find an area law with a sublogarithmic correction. For a critical bosonic 2D array of coupled oscillators at T=0, our results show that the entanglement entropy follows the area law without corrections.

• OSTI ID: 20853046
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGEBRA
BOSONS
CORRECTIONS
DENSITY MATRIX
ENTROPY
FERMI LEVEL
FERMIONS
GREEN FUNCTION
OSCILLATORS
POTENTIALS
QUANTUM ENTANGLEMENT
TWO-DIMENSIONAL CALCULATIONS
UNIVERSE