Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point

Details Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point

2006-06-06

arxiv.org/abs/cond-mat/0606137v3

Phys. Rev. B 74 (2006) 144423

Physics

Condensed Matter

Statistical Mechanics

Revtex4, 10 pages including 10 figures; corrected a sign error in Eq. 32; this is the final published version

Scientific paper

10.1103/PhysRevB.74.144423

We study an infinite range ferromagnetic Ising model in the presence of a transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic phase transition at a critical value of the transverse field. In the thermodynamic limit, the low-temperature properties of this model are dominated by the behavior of a single large classical spin governed by an anisotropic Hamiltonian. Using this property, we study the quench and AC dynamics of the model both numerically and analytically, and develop a correspondence between the classical phase space dynamics of a single spin and the quantum dynamics of the infinite-range ferromagnetic Ising model. In particular, we compare the behavior of the equal-time order parameter correlation function both near to and away from the quantum critical point in the presence of a quench or AC transverse field. We explicitly demonstrate that a clear signature of the quantum critical point can be obtained by studying the AC dynamics of the system even in the classical limit. We discuss possible realizations of our model in experimental systems.

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