Quantized pumping and phase diagram topology of interacting bosons

TL;DR

This paper demonstrates that adiabatic encircling of a critical point in interacting bosonic systems induces quantized boson pumping, revealing topological constraints on the phase diagram topology even when multiple chains are coupled.

Contribution

It introduces a topological pumping mechanism in interacting bosonic systems and explores how phase diagram topology is constrained by this phenomenon.

Findings

Encircling the critical point pumps one boson across the system.

Pumping persists even when multiple chains are coupled.

Topological constraints shape the phase diagram of quasi-one-dimensional bosonic systems.

Abstract

Interacting lattice bosons at integer filling can support two distinct insulating phases, which are separated by a critical point: the Mott insulator and the Haldane insulator[Phys. Rev. Lett. 97, 260401 (2006)]. The critical point can be gapped out by breaking lattice inversion symmetry. Here, we show that encircling this critical point adiabatically pumps one boson across the system. When multiple chains are coupled, the two insulating phases are no longer sharply distinct, but the pumping property survives. This leads to strict constraints on the topology of the phase diagram of systems of quasi-one dimensional interacting bosons.