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 probabil...

We consider the problem of a sphere rolling on a curved surface and solve it by mapping it to the precession of a spin 1/2 in a magnetic field of variable magnitude and direction. The mapping can be of pedagogical use in discussing both rolling and spin precession. As an interesting example we show that the Landau-Zener problem corresponds to the rolling of a sphere on a Cornu spiral, and deriv...

In the standard Landau-Zener-St\"uckelberg-Majorana (LZSM) problem, bias sweep rate and gap are both time independent fully characterize LZSM problem. We consider nonlinear in which at least one of two characteristic parameters varies as system traverses avoided-crossing region. This situation results what could be thought a more accurate description any realistic compared with idealized linear...

In digital or mixed-signal applications, there is a need to precisely regulate the voltage entering or exiting a circuit. The Zener diode has a unique property that offers a simple, low-cost solution to this problem. This application note discusses the implementation of this voltage regulator and its advantages and drawbacks.

We investigate the influence of temperature and dissipation on the Landau–Zener transition probability in circuit QED. Dissipation is modelled by coupling the transmission line to a bath of harmonic oscillators, and the reduced density operator is treated within Bloch–Redfield theory. A phase-space representation allows an efficient numerical implementation of the resulting master equation. It ...

Internal friction (I.F.) and modulus measurements have been carried out as a function of temperature in order to study the Li mobility in an A1 8.1 at% Li 0.03 at% Zr alloy. The results show that the sequence of 6' and 6 precipitation can be followed through the evolution of the internal friction spectra. Two peaks appear in the internal friction spectrum. The low temperature peak Pz (450 K), h...

– We consider the inverse Landau-Zener problem which consists in finding the energy-sweep functions W (t) ≡ ε1(t) − ε2(t) resulting in the required time dependences of the level populations for a two-level system crossing the resonance one or more times during the sweep. We find sweep functions of particular forms that let manipulate the system in a required way, including complete switching fr...