Engineering adiabaticity at an avoided crossing with optimal control

An optimal control problem for a engineering system

In this article, we apply this new method for solving an engineering systemwith initial and boundary conditions and integral criterion ,and we will usingdynamic programming as iteration for solving model.

Non-adiabatic passage through an avoided crossing

By the application of an ultra fast magnetic field sweeping (2.0 × 105 T/sec) and the zero-field magnetic resonance (ZFMR)/FID techniques, we are able to probe the dynamics at the level anti-crossing region of the photo-excited triplet states of pentacene-h14 in p-terphenyl (PHPT) and pentacene-d14 in p-terphenyl (PDPT) systems. The crossing is a non-adiabatic passage at such a high jumping rat...

Investigation of Temperature Effect in Landau-Zener Avoided Crossing

Considering a temperature dependent two-level quantum system, we have numerically solved the Landau-Zener transition problem. The method includes the incorporation of temperature effect as a thermal noise added Schrödinger equation for the construction of the Hamiltonian. Here, the obtained results which describe the changes in the system including the quantum states and the transition pro...

Comparison of quantal, classical, and semiclassical behavior at an isolated avoided crossing

Unstable avoided crossing in coupled spinor condensates.

We consider the dynamics of a Bose-Einstein condensate with two internal states, coupled through a coherent drive. We focus on a specific quench protocol, in which the sign of the coupling field is suddenly changed. At a mean-field level, the system is transferred from a minimum to a maximum of the coupling energy and can remain dynamically stable, in spite of the development of negative-freque...