Exact relaxation dynamics of a localized many-body state in the 1D bose gas

Details Exact relaxation dynamics of a localized many-body state in the 1D bose gas Exact relaxation dynamics of a localized many-body state in the 1D bose gas

2011-12-19

arxiv.org/abs/1112.4244v3

Physical Review Letters, 108, 110401 (2012)

Physics

Condensed Matter

Quantum Gases

5 pages, 5 figures

Scientific paper

Through an exact method we numerically solve the time evolution of the density profile for an initially localized state in the one-dimensional bosons with repulsive short-range interactions. We show that a localized state with a density notch is constructed by superposing one-hole excitations. The initial density profile overlaps the plot of the squared amplitude of a dark soliton in the weak coupling regime. We observe the localized state collapsing into a flat profile in equilibrium for a large number of particles such as N=1000. The relaxation time increases as the coupling constant decreases, which suggests the existence of off-diagonal long-range order. We show a recurrence phenomenon for a small number of particles such as N=20.

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