Exotic Ising dynamics in a Bose-Hubbard model

Luis Seabra, Frank Pollmann

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We explore the dynamical properties of a one-dimensional Bose-Hubbard model, where two bosonic species interact via Feshbach resonance. We focus on the region in the phase diagram which is described by an effective, low-energy ferromagnetic Ising model in both transverse and longitudinal fields. In this regime, we numerically calculate the dynamical structure factor of the Bose-Hubbard model using the time-evolving block decimation method. In the ferromagnetic phase, we observe both the continuum of excitations and the bound states in the presence of a longitudinal field. Near the Ising critical point, we observe the celebrated E8 mass spectrum in the excited states. We also point out possible measurements which could be used to detect these excitations in an optical lattice experiment.

Original languageEnglish
Article number125103
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
StatePublished - 4 Sep 2013
Externally publishedYes


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