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Unifying Geometric Entanglement and Geometric Phase in a Quantum Phase Transition
School of Computer Science, Physics and Mathematics, Linnaeus Univ., Sweden.
School of Computer Science, Physics and Mathematics, Linnaeus Univ., Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Chemistry - Ångström, Theoretical Chemistry. Centre for Quantum Technologies, NUS, Singapore. (Quantum information theory)
2013 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 88, no 1, p. 012310-Article in journal (Refereed) Published
Abstract [en]

Geometric measure of entanglement and geometric phase have recently been used to analyze quantum phase transition in the XY spin chain. We unify these two approaches by showing that the geometric entanglement and the geometric phase are respectively the real and imaginary parts of a complex-valued geometric entanglement, which can be investigated in typical quantum interferometry experiments. We argue that the singular behavior of the complex-value geometric entanglement at a quantum critical point is a characteristic of any quantum phase transition, by showing that the underlying mechanism is the occurrence of level crossings associated with the underlying Hamiltonian.

Place, publisher, year, edition, pages
2013. Vol. 88, no 1, p. 012310-
Keywords [en]
Quantum phase transitions, geometric phase, quantum entanglement, spin models
National Category
Condensed Matter Physics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-196334DOI: 10.1103/PhysRevA.88.012310ISI: 000321833000004OAI: oai:DiVA.org:uu-196334DiVA, id: diva2:609905
Funder
Swedish Research CouncilAvailable from: 2013-03-08 Created: 2013-03-08 Last updated: 2017-12-06Bibliographically approved

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Sjöqvist, Erik

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