Quantized Pumping and Topology of the Phase Diagram for a System of Interacting Bosons

Erez Berg, Michael Levin, Ehud Altman
2011 Physical Review Letters  
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
more » ... perty survives. This leads to strict constraints on the topology of the phase diagram of systems of quasi-one dimensional interacting bosons.
doi:10.1103/physrevlett.106.110405 pmid:21469847 fatcat:zeeqc4t3xjfvfbzqp7s5dahxzi