Statics and dynamics of a one-dimensional quantum many-body system

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 1 figure

Scientific paper

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 interface-like 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.

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