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Dynamics of an inhomogeneous quantum phase transition

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Published 28 May 2010 Published under licence by IOP Publishing Ltd
, , Focus on Dynamics and Thermalization in Isolated Quantum Many-Body Systems Citation Jacek Dziarmaga and Marek M Rams 2010 New J. Phys. 12 055007 DOI 10.1088/1367-2630/12/5/055007

1367-2630/12/5/055007

Abstract

We argue that, in a second-order quantum phase transition driven by an inhomogeneous quench, the density of quasi-particle excitations is suppressed when velocity at which a critical point propagates across a system falls below a threshold velocity equal to the Kibble–Zurek correlation length times the energy gap at freeze-out divided by ℏ. This general prediction is supported by an analytic solution in the quantum Ising chain. Our results suggest, in particular, that adiabatic quantum computers can be made more adiabatic when operated in an 'inhomogeneous' way.

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10.1088/1367-2630/12/5/055007