The Quantum Josephson Hamiltonian In The Phase Representation
Statistical Mechanics
2016-08-31 v1 Mesoscale and Nanoscale Physics
Soft Condensed Matter
Superconductivity
Abstract
The quantum Josephson Hamiltonian of two weakly linked Bose-Einstein condensates is written in an overcomplete phase representation, thus avoiding the problem of defining a Hermitian phase operator. We discuss the limit of validity of the standard, non-rigorous Mathieu equation, due to the onset of a higher order term in the Josephson potential, and also to the overcompleteness of the representation (the phase being the relative phase between the two condensates). We thereby unify the Boson Hubbard and Quantum Phase models.
Cite
@article{arxiv.cond-mat/0011440,
title = {The Quantum Josephson Hamiltonian In The Phase Representation},
author = {J. R. Anglin and P. Drummond and A. Smerzi},
journal= {arXiv preprint arXiv:cond-mat/0011440},
year = {2016}
}