Observation of the Ground-State Geometric Phase in a Heisenberg XY Model

Xinhua Peng, Sanfeng Wu, Jun Li, Dieter Suter, and Jiangfeng Du
Phys. Rev. Lett. 105, 240405 – Published 10 December 2010
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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.

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  • Received 29 April 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.240405

© 2010 The American Physical Society

Authors & Affiliations

Xinhua Peng1,*, Sanfeng Wu1, Jun Li1, Dieter Suter2,†, and Jiangfeng Du1,‡

  • 1Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China
  • 2Fakultät Physik, Technische Universität Dortmund, 44221 Dortmund, Germany

  • *xhpeng@ustc.edu.cn
  • Dieter.Suter@tu-dortmund.de
  • djf@ustc.edu.cn

See Also

Geometric Phase with Nonunitary Evolution in the Presence of a Quantum Critical Bath

F. M. Cucchietti, J.-F. Zhang, F. C. Lombardo, P. I. Villar, and R. Laflamme
Phys. Rev. Lett. 105, 240406 (2010)

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Vol. 105, Iss. 24 — 10 December 2010

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