



@article {1368,
	title = {The adiabatic theorem in the presence of noise},
	journal = {Physical Review A},
	volume = {77},
	year = {2008},
	month = {2008/4/22},
	abstract = {  We provide rigorous bounds for the error of the adiabatic approximation of
quantum mechanics under four sources of experimental error: perturbations in
the initial condition, systematic time-dependent perturbations in the
Hamiltonian, coupling to low-energy quantum systems, and decoherent
time-dependent perturbations in the Hamiltonian. For decoherent perturbations,
we find both upper and lower bounds on the evolution time to guarantee the
adiabatic approximation performs within a prescribed tolerance. Our new results
include explicit definitions of constants, and we apply them to the spin-1/2
particle in a rotating magnetic field, and to the superconducting flux qubit.
We compare the theoretical bounds on the superconducting flux qubit to
simulation results.
},
	doi = {10.1103/PhysRevA.77.042319},
	url = {http://arxiv.org/abs/0801.3872v1},
	author = {Michael J. O{\textquoteright}Hara and Dianne P. O{\textquoteright}Leary}
}
