Fano resonances and entanglement entropy

Journal Article · Mon Nov 01 04:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.82.174202· OSTI ID:21502870

Eisler, Viktor; Garmon, Savannah Sterling ^[1]

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1. Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen O (Denmark)

We study the entanglement in the ground state of a chain of free spinless fermions with a single side-coupled impurity. We find a logarithmic scaling for the entanglement entropy of a segment neighboring the impurity. The prefactor of the logarithm varies continuously and contains an impurity contribution described by a one-parameter function while the contribution of the unmodified boundary enters additively. The coefficient is found explicitly by pointing out similarities with other models involving interface defects. The proposed formula gives excellent agreement with our numerical data. If the segment has an open boundary, one finds a rapidly oscillating subleading term in the entropy that persists in the limit of large block sizes. The particle-number fluctuation inside the subsystem is also reported. It is analogous with the expression for the entropy scaling, however, with a simpler functional form for the coefficient.

• OSTI ID: 21502870
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 17 Vol. 82; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
DEFECTS
ENERGY LEVELS
ENTROPY
FERMIONS
FLUCTUATIONS
GROUND STATES
IMPURITIES
INTERFACES
PARTICLE PROPERTIES
PARTICLES
PHYSICAL PROPERTIES
QUANTUM ENTANGLEMENT
RESONANCE
SCALING
SPIN
THERMODYNAMIC PROPERTIES
VARIATIONS