Das, Arnab and Sengupta, K and Sen, Diptiman and Chakrabarti, Bikas K (2006) Infinite-range Ising ferromagnet in a time-dependent transverse magnetic field: Quench and ac dynamics near the quantum critical point. In: Physical Review B: Condensed Matter and Material Physics, 74 . 144423:1-144423:10.
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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.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to American Physical Society.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for High Energy Physics|
|Date Deposited:||29 May 2008|
|Last Modified:||19 Sep 2010 04:45|
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