Wavefunction statistics using scar states

Wavefunction Statistics using Scar States

We describe the statistics of chaotic wavefunctions near periodic orbits using a basis of states which optimise the effect of scarring. These states reflect the underlying structure of stable and unstable manifolds in phase space and provide a natural means of characterising scarring effects in individual wavefunctions as well as their collective statistical properties. In particular, these sta...

Short-distance wavefunction statistics in one-dimensional Anderson localization

We investigate the short-distance statistics of the local density of states ν in long one-dimensional disordered systems, which display Anderson localization. It is shown that the probability distribution function P (ν) can be recovered from the long-distance wavefunction statistics, if one also uses parameters that are irrelevant from the perspective of two-parameter scaling theory. PACS. 72.1...

Uncollapsing the wavefunction

The undoing of quantum measurements is discussed in the broader context of irreversibility in physics. We give explicit examples of how a wavefunction can be uncollapsed in two solid-state experimental set-ups. Wavefunction uncollapse shows the quantum observer paradox in a new and significantly clearer way. © 2008 Optical Society of America OCIS codes: 270.5570, 270.2500

What is a wavefunction?

The fact that the wavefunction of a many-body quantum mechanical system is a function on a high-dimensional configuration space, rather than our familiar 3-dimensional space or 4dimensional spacetime, has led to the suggestion, by David Albert and others, 1 that any realist interpretation of quantum mechanics must regard this high-dimensional space as the real arena in which events take place, ...

Developing and Using Fire Scar Histories in the Southern and Eastern United States