Signatures of the superfluid to Mott-insulator transition in the excitation spectrum of ultracold atoms

S. R. Clark, D. Jaksch

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

We present a detailed analysis of the dynamical response of ultra-cold bosonic atoms in a one-dimensional optical lattice subjected to a periodic modulation of the lattice depth. Following the experimental realization by Stoferle et al [Phys. Rev. Lett. 92, 130403 (2004)] we study the excitation spectrum of the system as revealed by the response of the total energy as a function of the modulation frequency Ω. By using the Time Evolving Block Decimation algorithm, we are able to simulate one-dimensional systems comparable in size to those in the experiment, with harmonic trapping and across many lattice depths ranging from the Mott-insulator to the superfluid regime. Our results produce many of the features seen in the experiment, namely a broad response in the superfluid regime, and narrow discrete resonances in the Mott-insulator regime. We identify several signatures of the superfluid-Mott insulator transition that are manifested in the spectrum as it evolves from one limit to the other.
Original languageEnglish
Article number160
Number of pages18
JournalNew Journal of Physics
Volume8
Issue number8
DOIs
Publication statusPublished - 30 Aug 2006

Keywords

  • cond-mat.other

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