Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength

Abstract

The study of geometrically frustrated many-body quantum systems is of central importance to uncover novel quantum mechanical effects. We design a scheme where ultracold bosons trapped in a one-dimensional state-dependent optical lattice are modeled by a frustrated Bose-Hubbard Hamiltonian. A derivation of the Hamiltonian parameters based on Cesium atoms, further show large tunability of contact and nearest-neighbour interactions. For pure contact repulsion, we discover the presence of two phases peculiar to frustrated quantum magnets: the bond-order-wave insulator with broken inversion symmetry and a chiral superfluid. When the nearest-neighbour repulsion becomes sizeable, a further density-wave insulator with broken translational symmetry can appear. We show that the phase transition between the two spontaneously-symmetry-broken phases is continuous, thus representing a one-dimensional deconfined quantum critical point not captured by the Landau-Ginzburg-Wilson symmetry-breaking paradigm. Our results provide a solid ground to unveil the novel quantum physics induced by the interplay of non-local interactions, geometrical frustration, and quantum fluctuations.

7+3 pages, 3+3 figures

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• Synthetic dimensions for topological and quantum phases: Perspective
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Deconfined Quantum Critical Point: A Review of Progress
• Deconfined criticality as intrinsically gapless topological state in one dimension
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Blue repulsive potential for dysprosium Bose-Einstein condensates
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
• Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains
• Deconfined quantum criticality on a triangular Rydberg array
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light