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    Quantum Phases and Transitions of Bosons on a Comb Lattice

    Leo Radzihovsky* and Emil Pellett

    • Department of Physics and Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA

    • *Contact author: radzihov@colorado.edu

    Phys. Rev. Lett. 135, 016001 – Published 2 July, 2025

    DOI: https://doi.org/10.1103/dljc-j3z7

    Abstract

    Motivated to elucidate the nature of quantum phases and their criticality when entangled with a correlated quantum bath, we study interacting bosons on a “comb lattice”—a one-dimensional backbone (system) coupled at its sites to otherwise independent one-dimensional “teeth” chains (bath). We map out the corresponding phase diagram, detailing the nature of the phases and phase transitions. Controlled by the backbone and teeth hopping amplitudes, short-range interactions, and chemical potential, phases include a Mott insulator, backbone, and teeth Luttinger liquids and the long-range ordered incoherent superfluid. We explore their properties and potential realizations in condensed matter and cold-atom experiments and simulations.

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