Entanglement signatures of quantum Hall phase transitions

Details Entanglement signatures of quantum Hall phase transitions Entanglement signatures of quantum Hall phase transitions

2008-09-09

arxiv.org/abs/0809.1589v1

Phys. Rev. B 79, 045409 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 7 figures

Scientific paper

10.1103/PhysRevB.79.045409

We study quantum phase transitions involving fractional quantum Hall states, using numerical calculations of entanglements and related quantities. We tune finite-size wavefunctions 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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