Critical behavior of the <I>XY</I> spin chain with three-site interaction studied in terms of the Loschmidt echo

LIAN Han-Li

doi:10.1088/1674-1137/36/6/001

Chinese Physics C> 2012, Vol. 36> Issue(6) : 479-484 DOI: 10.1088/1674-1137/36/6/001

Critical behavior of the XY spin chain with three-site interaction studied in terms of the Loschmidt echo

LIAN Han-Li ^,

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

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Abstract：
The effect of the three-site interaction (α) on the critical behaviors of the XY spin chain is studied in terms of the Loschmidt echo (LE). The critical lines can be shifted by α, and the anisotropy parameter of the XY chain has no effect on the critical lines. The scaling behaviors of the LE reveal that the dynamical behaviors of the LE are reliable for characterizing quantum phase transition (QPT).

References

[1]

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LIAN Han-Li. Critical behavior of the XY spin chain with three-site interaction studied in terms of the Loschmidt echo[J]. Chinese Physics C, 2012, 36(6): 479-484. doi: 10.1088/1674-1137/36/6/001

LIAN Han-Li. Critical behavior of the XY spin chain with three-site interaction studied in terms of the Loschmidt echo[J]. Chinese Physics C, 2012, 36(6): 479-484. doi: 10.1088/1674-1137/36/6/001 shu

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Received: 2011-11-30
Revised: 2012-02-03

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沈阳化工大学材料科学与工程学院沈阳 110142

Critical behavior of the XY spin chain with three-site interaction studied in terms of the Loschmidt echo

Corresponding author: LIAN Han-Li,

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

Received Date: 2011-11-30

Accepted Date: 2012-02-03

Available Online: 2012-06-05

Abstract: The effect of the three-site interaction (α) on the critical behaviors of the XY spin chain is studied in terms of the Loschmidt echo (LE). The critical lines can be shifted by α, and the anisotropy parameter of the XY chain has no effect on the critical lines. The scaling behaviors of the LE reveal that the dynamical behaviors of the LE are reliable for characterizing quantum phase transition (QPT).

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Critical behavior of the XY spin chain with three-site interaction studied in terms of the Loschmidt echo

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Critical behavior of the XY spin chain with three-site interaction studied in terms of the Loschmidt echo

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