2011/12/31 by Jun Sato, Rina Kanamoto, Eriko Kaminishi +1 · 1 citation
Physics and Astronomy · #Amplitude #Bose gas #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Constant (computer programming) #Coupling (piping) #Coupling constant #Diagonal #Geometry #Materials science #Physics #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Relaxation (psychology) #Strong Light-Matter Interactions #cond-mat.quant-gas #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.108.110401
published as Physical Review Letters, 108, 110401 (2012) · 5 pages, 5 figures
openalex publication_date 2012/03/12 · arxiv created 2012/03/31 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.