Quantum transients are temporary features of matter waves before they reach a stationary
regime. Transients may arise after the preparation of an unstable initial state or due to a …

In this revised and expanded edition, in addition to a comprehensible introduction to the
theoretical foundations of quantum tunneling based on different methods of formulating and …

A general relation between the phase time (group delay) and the dwell time is derived for
relativistic tunneling particles described by the Dirac equation. It is shown that the phase …

Four-level systems in quantum optics, and for representing two qubits in quantum
computing, are difficult to solve for general time-dependent Hamiltonians. A systematic …

A two-sphere (“Bloch” or ''Poincare'') is familiar for describing the dynamics of a spin-1∕ 2
particle or light polarization. Analogous objects are derived for unitary groups larger than SU …

Motivated by recent time-domain experiments on ultrafast atom ionization, we analyze the
transients and time scales that characterize, aside from the relatively long lifetime, the decay …

The link between a quantum spin 1/2 and its associated su (2) algebra of Pauli spin matrices
with Clifford algebra and quaternions is well known. A pair of spins or qubits, which are …

For the relativistic tunneling effect described using Dirac's equation, Winful et al.[Phys. Rev.
A 70, 052112 (2004) 10.1103/PhysRevA. 70.052112] presented the deduction of a general …

We show that the temporal peak of a quantum wave may arrive at different locations
simultaneously in an absorbing medium. The arrival occurs at the lifetime of the particle in …

We study the elusive transition from exponential to postexponential (algebraic) decay of the
probability density of a quantum particle emitted by an exponentially decaying source in one …