Symmetry-protected Bose-Einstein condensation of interacting hardcore Bosons

• URL: http://arxiv.org/abs/2110.15770v2
• Date: Fri, 25 Mar 2022 20:20:28 GMT
• Title: Symmetry-protected Bose-Einstein condensation of interacting hardcore Bosons
• Authors: R. H. Wilke and T. K\"ohler and F. A. Palm and S. Paeckel
• Abstract summary: We introduce a mechanism stabilizing a one-dimensional quantum many-body phase. We illustrate this mechanism by constructing the solution of the full quantum many-body problem of bosons on a wheel geometry. We discuss further applications such as geometrically inducing finite-momentum condensates.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a mechanism stabilizing a one-dimensional quantum many-body phase, characterized by a certain wave vector $k_0$, from a $k_0$-modulated coupling to a center site, via the protection of an emergent $\mathbb Z_2$ symmetry. We illustrate this mechanism by constructing the solution of the full quantum many-body problem of hardcore bosons on a wheel geometry, which are known to form a Bose-Einstein condensate. The robustness of the condensate is shown numerically by adding nearest-neighbor interactions to the wheel Hamiltonian. We identify the energy scale that controls the protection of the emergent $\mathbb Z_2$ symmetry. We discuss further applications such as geometrically inducing finite-momentum condensates. Since our solution strategy is based on a generic mapping from a wheel geometry to a projected ladder, our analysis can be applied to various related problems with extensively scaling coordination numbers.

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