Journal
PHYSICAL REVIEW B
Volume 79, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.045409
Keywords
Coulomb blockade; phase transformations; quantum entanglement; quantum Hall effect; wave functions
Funding
- European Science Foundation
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We study quantum phase transitions involving fractional quantum Hall states using numerical calculations of entanglements and related quantities. We tune finite-size wave functions on spherical geometries by varying the interaction potential away from the Coulomb interaction. We uncover signatures of quantum phase transitions contained in the scaling behavior of the entropy of entanglement between two parts of the sphere. In addition to the entanglement entropy, we show that signatures of quantum phase transitions also appear in other aspects of the reduced density matrix of one part of the sphere.
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