Dynamical probing of a topological phase of bosons in one dimension

Abstract

We study the linear response to time-dependent probes of a symmetry-protected topological phase of bosons in one-dimension, the Haldane insulator (HI). This phase is separated from the ordinary Mott insulator (MI) and density-wave (DW) phases by continuous transitions, whose field theoretical description is here reviewed. Using this technique, we compute the absorption spectrum to two types of periodic perturbations and relate the findings to the nature of the critical excitations at the transition between the different phases. The HI-MI phase transition is topological and the critical excitations possess trivial quantum numbers: they correspond to particles and holes at zero momentum. Our findings are corroborated by a non-local mean-field approach, which allows us to directly relate the predicted spectrum to the known microscopic theory.

arXiv comment11 pages, 7 figures, published version

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Cited by in corpus (6)

• Topological quantum critical points in the extended Bose-Hubbard model
• Quantum Simulation of the Haldane Phase Using Trapped Ions
• Comparative density-matrix renormalization group study of symmetry-protected topological phases in spin-1 chain and Bose-Hubbard models
• Excitation and dynamics in the extended bose-hubbard model
• Macroscopic boundary effects in the one-dimensional extended Bose-Hubbard model
• Topological phases of bosons with local parity coupling on a dimerized lattice