Critical behavior of XY spin chain with Dzyaloshinsky–Moriya interaction studied in terms of Loschmidt echo

2011 ◽  
Vol 406 (9) ◽  
pp. 1814-1817 ◽  
Author(s):  
HanLi Lian ◽  
DongPing Tian
Keyword(s):  
Critical Behavior ◽  
Spin Chain ◽  
Xy Spin Chain ◽  
Loschmidt Echo ◽  
Moriya Interaction

LOSCHMIDT ECHO OF A CENTRAL SPIN COUPLED TO AN XY SPIN CHAIN WITH DZYALOSHINSKY–MORIYA INTERACTION

2011 ◽  
Vol 25 (08) ◽  
pp. 589-597 ◽  
Author(s):  
HAN LI LIAN ◽  
DONG PING TIAN
Keyword(s):  
Magnetic Field ◽  
Spin Chain ◽  
Anisotropy Parameter ◽  
Dm Interaction ◽  
Local Oscillation ◽  
Knee Point ◽  
Xy Spin Chain ◽  
Loschmidt Echo ◽  
Evolution Behavior ◽  
Moriya Interaction

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 XY spin chain was investigated. The analytical expression of the LE was obtained. The effects of magnetic field, DM interaction, spin chain size, and anisotropy parameter on the evolution behavior of the LE were discussed numerically. At the critical points of magnetic field, the LE presents an obvious decay following with local oscillation. The decaying and oscillation behavior of the LE can be tuned by the intensity of the DM interaction. With increasing the spin chain size, the decaying amplitude is increased and the following oscillation behavior vanishes for the spin chain with larger size. The effect of the anisotropy parameter on the LE presents different properties at both sides of the knee point. The effect of the DM interaction on the decay of the LE is also related to the value of anisotropy parameter.

scholarly journals Entanglement in One-Dimensional Random XY Spin Chain with Dzyaloshinskii–Moriya Interaction

2008 ◽  
Vol 25 (3) ◽  
pp. 817-820 ◽  
Author(s):  
Shan Chuan-Jia ◽  
Cheng Wei-Wen ◽  
Liu Tang-Kun ◽  
Huang Yan-Xia ◽  
Li Hong
Keyword(s):  
Spin Chain ◽  
One Dimensional ◽  
Xy Spin Chain ◽  
Moriya Interaction

scholarly journals The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction

2008 ◽  
Vol 57 (5) ◽  
pp. 2687
Author(s):  
Shan Chuan-Jia ◽  
Cheng Wei-Wen ◽  
Liu Tang-Kun ◽  
Huang Yan-Xia ◽  
Li Hong
Keyword(s):  
Spin Chain ◽  
One Dimensional ◽  
Xy Spin Chain ◽  
Moriya Interaction
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