Optimal nonlinear passage through a quantum critical point.

Phys Rev Lett

Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Published: August 2008

We analyze the problem of optimal adiabatic passage through a quantum critical point. We show that to minimize the number of defects the tuning parameter should be changed as a power law in time. The optimal power is proportional to the logarithm of the total passage time multiplied by universal critical exponents characterizing the phase transition. We support our results by the general scaling analysis and by explicit calculations for the transverse-field Ising model.

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http://dx.doi.org/10.1103/PhysRevLett.101.076801DOI Listing

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