Abstract
A central question of dynamics, largely open in the quantum case, is to what extent it erases a system's memory of its initial properties. Here we present a simple statistically solvable quantum model describing this memory loss across an integrability-chaos transition under a perturbation obeying no selection rules. From the perspective of quantum localization-delocalization on the lattice of quantum numbers, we are dealing with a situation where every lattice site is coupled to every other site with the same strength, on average. The model also rigorously justifies a similar set of relationships, recently proposed in the context of two short-range-interacting ultracold atoms in a harmonic waveguide. Application of our model to an ensemble of uncorrelated impurities on a rectangular lattice gives good agreement with ab initio numerics.
Original language | English (US) |
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Article number | 641 |
Journal | Nature communications |
Volume | 3 |
DOIs | |
State | Published - 2012 |
All Science Journal Classification (ASJC) codes
- General Chemistry
- General Biochemistry, Genetics and Molecular Biology
- General Physics and Astronomy