Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast and robust population transfer in two-level quantum systems with
  dephasing noise and/or systematic frequency errors   We design, by invariant-based inverse engineering, driving fields that invert
the population of a two-level atom in a given time, robustly with respect to
dephasing noise and/or systematic frequency shifts. Without imposing
constraints, optimal protocols are insensitive to the perturbations but need an
infinite energy. For a constrained value of the Rabi frequency, a flat $\pi$
pulse is the least sensitive protocol to phase noise but not to systematic
frequency shifts, for which we describe and optimize a family of protocols.

25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg