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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 |
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WANG Ping, ZHENG Qiang, WANG Wen-Ge 2010 Chin. Phys. Lett. 27 080301 |
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Abstract 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.
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| Keywords:
03.65.-w
05.70.Jk
73.43.Nq
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Received: 24 February 2010
Published: 28 July 2010
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