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Induced modification of the geometric phase of a qubit coupled to an XY spin chain by Dzyaloshinsky-Moriya interaction |
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| Authors: | Zhang Ai-Ping abc and Li Fu-Li |
| Institution: | Zhang Ai-Ping a)b)c) and Li Fu-Li a)b) a) Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter of Ministry of Education,Xi’an Jiaotong University,Xi’an 710049,China b) Department of Applied Physics,Xi’an Jiaotong University,Xi’an 710049,China c) Department of Physics,Xi’an University of Architecture and Technology,Xi’an 710055,China |
| Abstract: | We consider a qubit symmetrically and transversely coupled to an XY spin chain with Dzyaloshinsky-Moriya(DM) interaction in the presence of a transverse magnetic field.An analytical expression for the geometric phase of the qubit is obtained in the weak coupling limit.We find that the modification of the geometrical phase induced by the spin chain environment is greatly enhanced by DM interaction in the weak coupling limit around the quantum phase transition point of the spin chain. |
| Keywords: | geometric phase quantum phase transition XY spin chain Dzyaloshinsky-Moriya interaction |
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