Quantum tunneling dynamics using hydrodynamic trajectories

Classical trajectories and quantum tunneling

The problem of inter-band tunneling in a semiconductor (Zener breakdown) in a nonstationary and homogeneous electric field is solved exactly. Using the exact analytical solution, the approximation based on classical trajectories is studied. A new mechanism of enhanced tunneling through static non-onedimensional barriers is proposed in addition to well known normal tunneling solely described by ...

Quantum dynamics with Bohmian trajectories.

We describe the advantages and disadvantages of numerical methods when Bohmian trajectory grids are used for numerical simulations of quantum dynamics. We focus on the crucial noncrossing property of Bohmian trajectories, which, numerically, must be given careful attention. Failure to do so causes instabilities or leads to false simulations.

Dynamics of quantum trajectories in chaotic systems

– Quantum trajectories defined in the de Broglie–Bohm theory provide a causal way to interpret physical phenomena. In this Letter, we use this formalism to analyze the short time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play a very important role. We find that the topologies of the quantum orbits are much more complica...

Semiclassical Nonadiabatic Dynamics with Quantum Trajectories

Unstable semiclassical trajectories in tunneling.

Some tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to calculate the tunneling probability, including both the suppression exponent and prefactor. We find that the instability of tunneling solutions modifies the power-law dependence of the prefactor on Planck's variant a...