Attractive Bose-Einstein condensates in anharmonic traps: Accurate numerical treatment and the intriguing physics of the variance

Ofir E. Alon, Lorenz S. Cederbaum

Research output: Contribution to journalArticlepeer-review

Abstract

The dynamics of attractive bosons trapped in one dimensional anharmonic potentials is investigated. Particular emphasis is put on the variance of the position and momentum many-particle operators. Coupling of the center-of-mass and relative-motion degrees-of-freedom necessitates an accurate numerical treatment. The multiconfigurational time-dependent Hartree for bosons (MCTDHB) method is used, and high convergence of the energy, depletion and occupation numbers, and position and momentum variances is proven numerically. We demonstrate for the ground state and out-of-equilibrium dynamics, for condensed and fragmented condensates, for small systems and en route to the infinite-particle limit, that intriguing differences between the density and variance of an attractive Bose-Einstein condensate emerge. Implications are briefly discussed.

Original languageEnglish
Pages (from-to)287-298
Number of pages12
JournalChemical Physics
Volume515
DOIs
StatePublished - 14 Nov 2018

Bibliographical note

Funding Information:
This paper is dedicated to Professor Dr. Wolfgang Domcke, a dear friend and the first collaborator of one of us (LSC), on the occasion of his 70th birthday. This research was supported by the Israel Science Foundation (Grant No. 600/15). We thank Sudip Haldar and Raphael Beinke for discussions. Computation time on the BwForCluster and the Cray XC40 system Hazelhen at the High Performance Computing Center Stuttgart (HLRS) is gratefully acknowledged.

Publisher Copyright:
© 2018 Elsevier B.V.

ASJC Scopus subject areas

  • Physics and Astronomy (all)
  • Physical and Theoretical Chemistry

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