Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal non-linear passage through a quantum critical point   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.

30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph