Scaling of the Leading Response in Linear Quench Dynamics in the Quantum Ising Model
YU Wing-Chi, WANG Li-Gang, GU Shi-Jian** , LIN Hai-Qing
Department of Physics and ITP, The Chinese University of Hong Kong, Hong Kong
Abstract :We study the scaling behavior of the linear response in the quench dynamics in the one-dimensional transverse-field Ising model. It is found that the leading response of the system scales linearly with the system size. By considering the second derivative of the leading term of the response, we also found that it exhibits a non-trivial scaling behavior at the quantum critical point of the model.
收稿日期: 2012-04-18
出版日期: 2012-07-31
:
64.60.Ht
(Dynamic critical phenomena)
75.10.Jm
(Quantized spin models, including quantum spin frustration)
05.70.Fh
(Phase transitions: general studies)
73.43.Nq
(Quantum phase transitions)
[1]
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[2]
. [J]. 中国物理快报, 2022, 39(12): 120501-120501.
[3]
. [J]. 中国物理快报, 2021, 38(2): 26401-.
[4]
. [J]. 中国物理快报, 2019, 36(8): 80501-.
[5]
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