Geometric phase and quantum phase transition in the one-dimensional compass model

We study the geometric phase of the ground state of the one-dimensional compass model in a transverse field. The critical properties of the system in terms of the geometric phase are calculated and discussed. The results show that the general character of quantum phase transitions (QPTs) in the mode...

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Veröffentlicht in:	The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-04, Vol.57 (2), p.281-286
Hauptverfasser:	Wang, L. C., Yi, X. X.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Nonlinear Dynamics and Chaos Theory Atomic Classical and quantum physics: mechanics and fields Exact sciences and technology Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase) Molecular Optical and Plasma Physics Physical Chemistry Physics Physics and Astronomy Quantum Information Quantum Information Technology Quantum mechanics Quantum Physics Spectroscopy/Spectrometry Spintronics
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Beschreibung
Zusammenfassung:	We study the geometric phase of the ground state of the one-dimensional compass model in a transverse field. The critical properties of the system in terms of the geometric phase are calculated and discussed. The results show that the general character of quantum phase transitions (QPTs) in the model can be revealed by the Berry phase of the ground state. This study extends the relations between geometric phases and QPTs.
ISSN:	1434-6060 1434-6079
DOI:	10.1140/epjd/e2010-00045-4