Simulation of tunneling in the quantum tomography approach

Abstract

The new method for the simulation of nonstationary quantum processes is proposed. The method is based on the tomography representation of quantum mechanics, {\it i.e.}, the state of the system is described by the {\it nonnegative} function (quantum tomogram). In the framework of the method one uses the ensemble of trajectories in the tomographic space to represent evolution of the system (therefore direct calculation of the quantum tomogram is avoided). To illustrate the method we consider the problem of nonstationary tunneling of a wave packet. Different characteristics of tunneling, such as tunneling time, evolution of spatial and momentum distributions, tunneling probability are calculated in the quantum tomography approach. Tunneling of a wave packet of composite particle, exciton, is also considered; exciton ionization due to the scattering on the barrier is analyzed.

10 pages, 10 figures, submitted to Phys. Rev. A

References in corpus (3)

• Measurement of Superluminal optical tunneling times in double-barrier photonic bandgaps
• Quantum times of arrival for multiparticle states
• Simulation of wavepacket tunneling of interacting identical particles

Cited by in corpus (5)

• Tomograms for open quantum systems: in(finite) dimensional optical and spin systems
• Quantum process in probability representation of quantum mechanics
• Symplectic tomography of ultracold gases in tight-waveguides
• Comparative study of semiclassical approaches to quantum dynamics
• Probability Representation of Quantum Mechanics: Comments and Bibliography