arXiv:cond-mat/9911003 · Physical review. B, Condensed matter
Statics and dynamics of a one-dimensional quantum many-body system
Eugene B. Kolomeisky, Joseph P. Straley
Abstract
The macroscopic zero-temperature behavior of weakly incommensurate systems in one dimension is described in terms of solitons. The soliton density n obeys equations displaying several types of singular interfacelike solutions: (i) equilibrium or moving boundary between the $n=0$ and finite n regions, and (ii) stationary or moving annihilation front separating solitons from antisolitons.