Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases

Abstract

In the presence of symmetries, one-dimensional quantum systems can exhibit topological order, which in many cases can be characterized by a quantized value of the many-body geometric Zak or Berry phase. We establish that this topological Zak phase is directly related to the Zak phase of an elementary quasiparticle excitation in the system. By considering various systems, we establish this connection for a number of different interacting phases including: the Su-Schrieffer-Heeger model, p-wave topological superconductors, and the Haldane chain. Crucially, in contrast to the bulk many-body Zak phase associated with the ground state of such systems, the topological invariant associated with quasiparticle excitations (above this ground-state) exhibit a more natural route for direct experimental detection. To this end, we build upon recent work [Nature Communications 7, 11994 (2016)] and demonstrate that mobile quantum impurities can be used, in combination with Ramsey interferometry and Bloch oscillations, to directly measure these quasiparticle topological invariants. Finally, a concrete experimental realization of our protocol for dimerized Mott insulators in ultracold atomic systems is discussed and analyzed.

arXiv comment18 pages, 11 figures

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Cited by in corpus (15)

• Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
• Topological polarons in halide perovskites
• Dynamical formation of polarons in a Bose-Einstein condensate: A variational approach
• Topological transport of mobile impurities
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• Correlation-Assisted Quantized Charge Pumping
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• Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
• Composite polaron formed on surface of two-dimensional lattice system in weak coupling regime
• Bound states in two-dimensional Fermi systems with quadratic band touching
• Sensing the binding and unbinding of anyons at impurities
• Fractional spin Josephson effect in topological spin superconductors
• Symmetry-protected topological polarons