Phys. Rev. A 80, 053616 (2009) [7 pages]Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gasReceived 24 July 2009; published 19 November 2009 We derive a 1/c expansion for the single-particle density matrix of a strongly interacting time-dependent one-dimensional Bose gas, described by the Lieb-Liniger model (c denotes the strength of the interaction). The formalism is derived by expanding Gaudin’s Fermi-Bose mapping operator up to 1/c terms. We derive an efficient numerical algorithm for calculating the density matrix for time-dependent states in the strong coupling limit, which evolve from a family of initial conditions in the absence of an external potential. We have applied the formalism to study contraction dynamics of a localized wave packet upon which a parabolic phase is imprinted initially. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.053616
DOI:
10.1103/PhysRevA.80.053616
PACS:
03.75.Kk, 05.30.−d
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