One-half of the Kibble–Zurek quench followed by free evolution

Białończyk, Michał; Damski, Bogdan

doi:10.1088/1742-5468/aad3f2

One-half of the Kibble–Zurek quench followed by free evolution

Mar 14, 2018

22 pages

Published in:

J.Stat.Mech. 1807 (2018) 7, 073105

Published: Jul 31, 2018

e-Print:

1803.05208 [quant-ph]

DOI:

10.1088/1742-5468/aad3f2

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Abstract: (IOP)

We drive the one-dimensional quantum Ising chain in the transverse field from the paramagnetic phase to the critical point and study its free evolution there. We analyze excitation of such a system at the critical point and dynamics of its transverse magnetization and Loschmidt echo during free evolution. We discuss how the system size and quench-induced scaling relations from the Kibble–Zurek theory of non-equilibrium phase transitions are encoded in quasi-periodic time evolution of the transverse magnetization and Loschmidt echo.

Note:

19 pages, version accepted for publication

References(57)

Figures(11)

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