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Experimental Observation of the Ground-State Geometric Phase of Three-Spin $XY$ Model |
| Hui Zhou1, Zhao-Kai Li1,2**, Heng-Yan Wang1, Hong-Wei Chen3, Xin-Hua Peng1,2**, Jiang-Feng Du1 |
1Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026
2Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026
3High Magnetic Field Laboratory, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031
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| Cite this article: |
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Hui Zhou, Zhao-Kai Li, Heng-Yan Wang et al 2016 Chin. Phys. Lett. 33 060301 |
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Abstract The geometric phase has become a fundamental concept in many fields of physics since it was revealed. Recently, the study of the geometric phase has attracted considerable attention in the context of quantum phase transition, where the ground state properties of the system experience a dramatic change induced by a variation of an external parameter. In this work, we experimentally measure the ground-state geometric phase of the three-spin $XY$ model by utilizing the nuclear magnetic resonance technique. The experimental results indicate that the geometric phase could be used as a fingerprint of the ground-state quantum phase transition of many-body systems.
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Received: 14 March 2016
Published: 30 June 2016
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| PACS: |
03.65.Vf
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(Phases: geometric; dynamic or topological)
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05.30.Rt
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(Quantum phase transitions)
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76.60.-k
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(Nuclear magnetic resonance and relaxation)
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64.70.-p
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(Specific phase transitions)
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| [1] | Berry M V 1984 Proc. R. Soc. A 329 45 | | [2] | Samuel J and Bhandari R 1988 Phys. Rev. Lett. 60 2339 | | [3] | Aharonov Y and Anandan J 1987 Phys. Rev. Lett. 58 1593 | | [4] | Sj?qvist E, Pati A K, Ekert A, Anandan J S, Ericsson M, Oi D K L and Vedral V 2000 Phys. Rev. Lett. 85 2845 | | [5] | Tong D M, Sj?qvist E, Kwek L C and Oh C H 2004 Phys. Rev. Lett. 93 080405 | | [6] | Tomita A and Chiao R Y 1986 Phys. Rev. Lett. 57 937 | | [7] | Bitter T and Dubbers D 1987 Phys. Rev. Lett. 59 251 | | [8] | Suter D, Mueller K T and Pines A 1988 Phys. Rev. Lett. 60 1218 | | [9] | Leek P J, Fink J M, Blais A, Bianchetti R, G?ppl M, Gambetta J M, Schuster D I, Frunzio L, Schoelkopf R J and Wallraff A 2007 Science 318 1889 | | [10] | Morpurgo A F, Heida J P, Klapwijk T M, van Wees B J and Borghs G 1998 Phys. Rev. Lett. 80 1050 | | [11] | Niu Q, Wang X, Kleinman L, Liu W M, Nicholson D M C and Stocks G M 1999 Phys. Rev. Lett. 83 207 | | [12] | Jones J A, Vedral V, Ekert A and Castagnoli G 2000 Nature 403 869 | | [13] | Zhu S L 2006 Phys. Rev. Lett. 96 077206 | | [14] | Sachdev S 1999 Quantum Phase Transitions (Cambridge: Cambridge University Press) | | [15] | Osterloh A, Amico L, Falci G and Fazio R 2002 Nature 416 608 | | [16] | Zhang J, Peng X, Rajendran N and Suter D 2008 Phys. Rev. Lett. 100 100501 | | [17] | Peng X, Wu S, Li J, Suter D and Du J 2010 Phys. Rev. Lett. 105 240405 | | [18] | Peng X, Zhu X, Fang X, Feng M, Gao K, Yang X and Liu M 2001 Chem. Phys. Lett. 340 509 | | [19] | Khaneja N, Reiss T, Kehlet C, Schulte-Herbruggen T and Glaser S J 2005 J. Magn. Reson. 172 296 | | [20] | Lee S J 2002 Phys. Lett. A 305 349 | | [21] | Ernst R R, Bodenhausen G and Wokaun A 1987 Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Oxford: Oxford University Press) |
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