Chinese Physics C > 2014, Vol. 38 > Issue(7): 074102 DOI: 10.1088/1674-1137/37/7/074102

Loschmidt Echo of a central spin coupled to anXYspin chain：The role of the Dzyaloshinsky-Moriya interaction

LIAN Han-Li^,

School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China

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By introducing the Dzyaloshinsky-Moriya (DM) interaction, the Loschmidt Echo ( LE) of a quantum system consisting of a central spin and its surrounding environment characterized by an XYspin chain was investigated analytically and numerically. At the critical points of the magnetic field, the LEpresents an obvious decay. The decay amplitude can be tuned by the DM interaction. In some specific intervals the DM interaction can remarkably delay the decay of the LE. On the other hand, the DM interaction can change the effects of the anisotropy parameter on the LE.

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LIAN Han-Li. Loschmidt Echo of a central spin coupled to an XYspin chain：The role of the Dzyaloshinsky-Moriya interaction[J]. Chinese Physics C, 2014, 38(7): 074102. doi: 10.1088/1674-1137/37/7/074102

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Received: 2013-09-22
Revised: 1900-01-01

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通讯作者:陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Loschmidt Echo of a central spin coupled to anXYspin chain：The role of the Dzyaloshinsky-Moriya interaction

Corresponding author:LIAN Han-Li,

School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China

Received Date:2013-09-22

Accepted Date:1900-01-01

Available Online:2014-07-05

Abstract:By introducing the Dzyaloshinsky-Moriya (DM) interaction, the Loschmidt Echo (LE) of a quantum system consisting of a central spin and its surrounding environment characterized by anXYspin chain was investigated analytically and numerically. At the critical points of the magnetic field, theLEpresents an obvious decay. The decay amplitude can be tuned by the DM interaction. In some specific intervals the DM interaction can remarkably delay the decay of theLE. On the other hand, the DM interaction can change the effects of the anisotropy parameter on theLE.

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Loschmidt Echo of a central spin coupled to anXYspin chain：The role of the Dzyaloshinsky-Moriya interaction

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