Integer partition manifolds and phonon damping in one dimension
Quantum Gases
2018-04-05 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We develop a quantum model based on the correspondence between energy distribution between harmonic oscillators and the partition of an integer number. A proper choice of the interaction Hamiltonian acting within this manifold of states allows us to examine both the quantum typicality and the non-exponential relaxation in the same system. A quantitative agreement between the field-theoretical calculations and the exact diagonalization of the Hamiltonian is demonstrated.
Keywords
Cite
@article{arxiv.1804.01374,
title = {Integer partition manifolds and phonon damping in one dimension},
author = {I. E. Mazets and N. J. Mauser},
journal= {arXiv preprint arXiv:1804.01374},
year = {2018}
}
Comments
5 pages RevTeX4.1, 4 EPS figures