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

被引:0
作者
Lian Han-Li [1 ]
机构
[1] Xian Univ Posts & Telecommun, Sch Sci, Xian 710121, Peoples R China
关键词
Loschmidt Echo; Dzyaloshinsky-Moriya interaction; dynamical evolution behavior; ENTANGLEMENT; ATOMS;
D O I
10.1088/1674-1137/38/7/074102
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
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 analytically and numerically. At the critical points of the magnetic field, the LE presents 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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页数:5
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共 33 条
[1]   Sensitive chemical compass assisted by quantum criticality [J].
Cai, C. Y. ;
Ai, Qing ;
Quan, H. T. ;
Sun, C. P. .
PHYSICAL REVIEW A, 2012, 85 (02)
[2]   Sensitivity of wave field evolution and manifold stability in chaotic systems [J].
Cerruti, NR ;
Tomsovic, S .
PHYSICAL REVIEW LETTERS, 2002, 88 (05) :4-541034
[3]   Decoherence from spin environment: Role of the Dzyaloshinsky-Moriya interaction [J].
Cheng, W. W. ;
Liu, J. -M. .
PHYSICAL REVIEW A, 2009, 79 (05)
[4]   Non-Markovian decay and dynamics of decoherence in private and public environments [J].
Dente, A. D. ;
Zangara, P. R. ;
Pastawski, H. M. .
PHYSICAL REVIEW A, 2011, 84 (04)
[5]   Loschmidt Echo and the Many-Body Orthogonality Catastrophe in a Qubit-Coupled Luttinger Liquid [J].
Dora, Balazs ;
Pollmann, Frank ;
Fortagh, Jozsef ;
Zarand, Gergely .
PHYSICAL REVIEW LETTERS, 2013, 111 (04)
[6]   Field dependence of the spin state and spectroscopic modes of multiferroic BiFeO3 [J].
Fishman, Randy S. .
PHYSICAL REVIEW B, 2013, 87 (22)
[7]   Spin state and spectroscopic modes of multiferroic BiFeO3 [J].
Fishman, Randy S. ;
Haraldsen, Jason T. ;
Furukawa, Nobuo ;
Miyahara, Shin .
PHYSICAL REVIEW B, 2013, 87 (13)
[8]   Dynamics of Loschmidt echoes and fidelity decay [J].
Gorin, Thomas ;
Prosen, Tomaz ;
Seligman, Thomas H. ;
Znidaric, Marko .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 435 (2-5) :33-156
[9]   Universality and robustness of revivals in the transverse field XY model [J].
Happola, Juho ;
Halasz, Gabor B. ;
Hamma, Alioscia .
PHYSICAL REVIEW A, 2012, 85 (03)
[10]   Pinning quantum phase transition in a Tonks-Girardeau gas: Diagnostics by ground-state fidelity and the Loschmidt echo [J].
Lelas, K. ;
Seva, T. ;
Buljan, H. ;
Goold, J. .
PHYSICAL REVIEW A, 2012, 86 (03)