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Berry phase and fidelity susceptibility of the three-qubit Lipkin–Meshkov–Glick ground state
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Physical and Analytical Chemistry, Quantum Chemistry. (Quantum Information Theory)
Selmer Center, Department of Informatics, University of Bergen, Bergen N5020, Norway .
Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Kolkata 700 064, India .
Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700 108, India .
2010 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 43, no 35, 354026- p.Article in journal (Refereed) Published
Abstract [en]

Berry phases and quantum fidelities for interacting spins have attracted considerable attention, particularly in relation to entanglement properties of spin systems and quantum phase transitions. These efforts mainly focus either on spin pairs or the thermodynamic infinite spin limit, while studies of the multi-partite case of a finite number of spins are rare. Here we analyze Berry phases and quantum fidelities of the ground state of a Lipkin–Meshkov–Glick model consisting of three spin-1/2 particles (qubits). We find explicit expressions for the Berry phase and fidelity susceptibility of the full system as well as the mixed-state Berry phase and partial-state fidelity susceptibility of its one- and two-qubit subsystems. We demonstrate a realization of a nontrivial magnetic monopole structure associated with local, coordinated rotations of the three-qubit system around the external magnetic field.

Place, publisher, year, edition, pages
2010. Vol. 43, no 35, 354026- p.
Keyword [en]
Berry phase, Quantum fidelity, spin models
National Category
Physical Sciences
Research subject
Physics; Physics and Astronomy specializing in Theoretical Physics; Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-129494DOI: 10.1088/1751-8113/43/35/354026ISI: 000280847400027OAI: oai:DiVA.org:uu-129494DiVA: diva2:343991
Note
Published in "Quantum Phases: 50 Years of the Aharonov–Bohm effect and 25 Years of the Berry phase"Available from: 2010-08-17 Created: 2010-08-17 Last updated: 2017-12-12Bibliographically approved

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Sjöqvist, Erik

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