In this work, we discuss the resonance states of a quantum particle in a periodic potential
plus a static force. Originally, this problem was formulated for a crystal electron subject to a …

We report the first observation of the quantum Zeno and anti-Zeno effects in an unstable
system. Cold sodium atoms are trapped in a far-detuned standing wave of light that is …

A self-interacting two-level system depending on an external parameter is investigated. The
most striking feature exhibited in this system is the presence of a nonzero tunneling …

An exponential decay law is the universal hallmark of unstable systems and is observed in
all fields of science. This law is not, however, fully consistent with quantum mechanics and …

We study the dynamics of Bloch oscillations in a one-dimensional periodic potential plus a
(relatively weak) static force. The tight-binding and single-band approximations are …

We study the means of preparing and coherently manipulating atomic wave packets in
optical lattices, with particular emphasis on alkali-metal atoms in the far-detuned limit. We …

Abstract Superflow of a Bose–Einstein condensate in an optical lattice is represented by a
Bloch wave, a plane wave with periodic modulation of the amplitude. We review the …

We present a comprehensive analysis of the nonlinear Landau-Zener tunneling. We find
characteristic scaling or power laws for the critical behavior that occurs as the nonlinear …

We propose a general method by which experiments on ultracold gases can be used to
determine the topological properties of the energy bands of optical lattices, as represented …

An average filling factor of one atom per lattice site has been obtained in a submicron scale
far-off-resonance optical lattice (FORL). High site occupation is obtained through a …