Optimal non-linear passage through a quantum critical point

Details Optimal non-linear passage through a quantum critical point Optimal non-linear passage through a quantum critical point

2008-04-17

arxiv.org/abs/0804.2894v1

Phys. Rev. Lett. 101, 076801 (2008)

Physics

Condensed Matter

Other Condensed Matter

4+ pages, 2 figures

Scientific paper

10.1103/PhysRevLett.101.076801

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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