Irregular dynamics in a one-dimensional Bose system
Year: 2004
Authors: Berman G.P., Borgonovi F., Izrailev F.M., Smerzi A.
Autors Affiliation: Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA; Los Alamos Natl Lab, CNLS, Los Alamos, NM 87545 USA; Univ Cattolica, Dipartimento Matemat & Fis, I-25121 Brescia, Italy; Ist Nazl Fis Nucl, Sez Pavia, Pavia, Italy; INFM, Unita Brescia, Brescia, Italy; Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico; Univ Trent, Dipartimento Fis, I-38050 Povo, Italy; Univ Trent, Ist Nazl Fis Mat, BEC CRS, I-38050 Povo, Italy.
Abstract: We study many-body quantum dynamics of delta-interacting bosons confined in a one-dimensional ring. Main attention is paid to the transition from the mean-field to the Tonks-Girardeau regime using an approach developed in the theory of interacting particles. We analyze, both analytically and numerically, how the Shannon entropy of the wave function and the momentum distribution depend on time for weak and strong interactions. We show that the transition from regular (quasiperiodic) to irregular (chaotic) dynamics coincides with the onset of the Tonks-Girardeau regime. In the latter regime, the momentum distribution of the system reveals a statistical relaxation to a steady state distribution. The transition can be observed experimentally by studying the interference fringes obtained after releasing the trap and letting the boson system expand ballistically.
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 92 (3) Pages from: 30404-1 to: 30404-4
KeyWords: Impenetrable Bosons; Einstein Condensate; Gas; Transition; Superfluid; Insulator; AtomsDOI: 10.1103/PhysRevLett.92.030404Citations: 58data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)