Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.88.012310
Title: Unifying geometric entanglement and geometric phase in a quantum phase transition
Authors: Azimi Mousolou, V.
Canali, C.M.
Sjöqvist, E. 
Issue Date: 11-Jul-2013
Source: Azimi Mousolou, V., Canali, C.M., Sjöqvist, E. (2013-07-11). Unifying geometric entanglement and geometric phase in a quantum phase transition. Physical Review A - Atomic, Molecular, and Optical Physics 88 (1) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.88.012310
Abstract: 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. © 2013 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112540
ISSN: 10502947
DOI: 10.1103/PhysRevA.88.012310
Appears in Collections:Staff Publications

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