Decay of Loschmidt Echo at a Critical Point in the Lipkin-Meshkov-Glick model
WANG Ping1, ZHENG Qiang2, WANG Wen-Ge1
1Department of Modern Physics, University of Science and Technology of China, Hefei 230026 2School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001
Decay of Loschmidt Echo at a Critical Point in the Lipkin-Meshkov-Glick model
WANG Ping1, ZHENG Qiang2, WANG Wen-Ge1
1Department of Modern Physics, University of Science and Technology of China, Hefei 230026 2School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001
An analytical expression of the Loschmidt echo in the Lipkin-Meshkov-Glick model is derived in the thermodynamical limit. It is used in the study of the decaying behaviour of the echo at the critical point of a quantum phase transition of the model. It is shown that the echo has a power law decay for relatively long times.
An analytical expression of the Loschmidt echo in the Lipkin-Meshkov-Glick model is derived in the thermodynamical limit. It is used in the study of the decaying behaviour of the echo at the critical point of a quantum phase transition of the model. It is shown that the echo has a power law decay for relatively long times.
WANG Ping;ZHENG Qiang;WANG Wen-Ge. Decay of Loschmidt Echo at a Critical Point in the Lipkin-Meshkov-Glick model[J]. 中国物理快报, 2010, 27(8): 80301-080301.
WANG Ping, ZHENG Qiang, WANG Wen-Ge. Decay of Loschmidt Echo at a Critical Point in the Lipkin-Meshkov-Glick model. Chin. Phys. Lett., 2010, 27(8): 80301-080301.
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