Geometric phases and criticality in spin systems
2006 ◽
Vol 364
(1849)
◽
pp. 3463-3476
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Keyword(s):
A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behaviour is presented. This opens up the way for the use of geometric phases as a tool to probe regions of criticality without having to undergo a quantum phase transition. As a concrete example, a spin-1/2 chain with XY interactions is considered and the corresponding geometric phases are analysed. Finally, a generalization of these results to the case of an arbitrary spin system is presented.
2007 ◽
Vol 310
(2)
◽
pp. 1352-1354
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Keyword(s):
2006 ◽
Vol 75
(6)
◽
pp. 064703
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Keyword(s):
2014 ◽
Vol 11
(3)
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pp. 035202
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Keyword(s):
2013 ◽
Vol 82
(9)
◽
pp. 093703
◽
Keyword(s):
Keyword(s):
2016 ◽
Vol 15
(11)
◽
pp. 4629-4640
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Keyword(s):