Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench

Details Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench

2008-10-27

arxiv.org/abs/0810.4845v2

Phys. Rev. Lett. 102, 130603 (2009)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.102.130603

We study the unitary time evolution of antiferromagnetic order in anisotropic Heisenberg chains that are initially prepared in a pure quantum state far from equilibrium. Our analysis indicates that the antiferromagnetic order imprinted in the initial state vanishes exponentially. Depending on the anisotropy parameter, oscillatory or non-oscillatory relaxation dynamics is observed. Furthermore, the corresponding relaxation time exhibits a at the critical point, in contrast to the usual notion of critical slowing down, from which a maximum is expected.

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