Optimal non-linear passage through a quantum critical point

Abstract

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.

4+ pages, 2 figures

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Universal adiabatic dynamics across a quantum critical point
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Robustness of adiabatic passage trough a quantum phase transition