Journal
PHYSICS LETTERS A
Volume 376, Issue 30-31, Pages 2090-2095Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2012.05.018
Keywords
Geometric phase; Spin chain; Multi-spin interaction
Categories
Funding
- National Basic Research Program of China [2010CB923102]
- Special Prophase Project of the National Basic Research Program of China [2011CB311807]
- National Nature Science Foundation of China [11074199]
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We investigate geometric phase (GP) of a qubit symmetrically coupled to a XY spin chain with three-spin interaction in a transverse magnetic field. An analytical expression for the GP is found in the weak coupling limit. It is shown that the GP displays a sharp peak or dip around the quantum phase transition point of the spin chain. Without the three-spin interaction, the GP has a peak or dip around the critical point lambda = 1. If the three-spin interaction exists, the peak or dip position is obviously shifted away from the original position. This result reveals that the GP may be taken as an observable to detect both the existence and strength of multi-spin interaction in a spin chain. (C) 2012 Elsevier B.V. All rights reserved.
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