Observation of the ground-state-geometric phase in a Heisenberg XY model

Abstract

Geometric phases play a central role in a variety of quantum phenomena, especially in condensed matter physics. Recently, it was shown that this fundamental concept exhibits a connection to quantum phase transitions where the system undergoes a qualitative change in the ground state when a control parameter in its Hamiltonian is varied. Here we report the first experimental study using the geometric phase as a topological test of quantum transitions of the ground state in a Heisenberg XY spin model. Using NMR interferometry, we measure the geometric phase for different adiabatic circuits that do not pass through points of degeneracy.

manuscript (4 pages, 3 figures) + supporting online material (6 pages + 7 figures), to be published in Phys. Rev. Lett. (2010)

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• Experimental observation of topological transitions in interacting multi-spin systems
• Unifying Geometric Entanglement and Geometric Phase in a Quantum Phase Transition
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• Path dependent scaling of geometric phase near a quantum multi-critical point
• Identifying quantum phase transitions via geometric measures of nonclassicality
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• Hybrid magic state distillation for universal fault-tolerant quantum computation
• Edge states in quantum spin chains: the interplay among interaction, gradient magnetic field and Floquet engineering
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