Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-07-27
Phys. Rev. A 80, 053616 (2009).
Physics
Condensed Matter
Quantum Gases
Scientific paper
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.
Buljan Hrvoje
Gasenzer Thomas
Pezer R.
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