The calculation of rate coefficients is a discipline of nonlinear science of importance to much
of physics, chemistry, engineering, and biology. Fifty years after Kramers' seminal paper on …

Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has
been known that driving a quantum two-level system results in tunneling between its states …

A contemporary review on the behavior of driven tunneling in quantum systems is
presented. Diverse phenomena, such as control of tunneling, higher harmonic generation …

A transition between energy levels at an avoided crossing is known as a Landau–Zener
transition. When a two-level system (TLS) is subject to periodic driving with sufficiently large …

Efforts to develop useful quantum computers have been blocked primarily by environmental
noise. Quantum annealing is a scheme of quantum computation that is predicted to be more …

We study Landau-Zener transitions in a qubit coupled to a bath at zero temperature. A
general formula that is applicable to models with a nondegenerate ground state is derived …

We calculate the exact Landau-Zener transition probabilities for a qubit with an arbitrary
linear coupling to a bath at zero temperature. The final quantum state exhibits a peculiar …

The evolutionary dynamics first conceived by Darwin and Wallace, referring to as Darwinian
dynamics in the present paper, has been found to be universally valid in biology. The …

We propose a calorimetric measurement of work in a quantum system. As a physical
realization, we consider a superconducting two-level system, a Cooper-pair box, driven by a …

We study the effect of a thermal environment on adiabatic quantum computation using the
Bloch-Redfield formalism. We show that in certain cases the environment can enhance the …