Supersolid-Superfluid phase separation in the extended Bose-Hubbard model

Abstract

Recent studies have suggested a new phase in the extended Bose-Hubbard model in one dimension at integer filling [1,2]. In this work, we show that this new phase is phase-separated into a supersolid and superfluid part, generated by mechanical instability. Numerical simulations are performed by means of the density matrix renormalization group algorithm in terms of matrix product states. In the phase-separated phase and the adjacent homogeneous superfluid and supersolid phases, we find peculiar spatial patterns in the entanglement spectrum and string-order correlation functions and show that they survive in the thermodynamic limit. In particular, we demonstrate that the elementary excitations of the homogeneous superfluid with enhanced periodic modulations are phonons, find the central charge to be $c=1$, and show that the velocity of sound, extracted from the intrinsic level splitting for finite systems, matches with the propagation velocity of local excitations in dynamical simulations. This suggests that the low-energy spectrum of the phase under investigation is effectively captured by a spinless Luttinger liquid, for which we find consistent results between the Luttinger parameter obtained from the linear dependence of the structure factor and the algebraic decay of the one-body density matrix.

[1] arXiv:2003.09905; [2] arXiv:1405.5382

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• Supersolidity in ultra-cold dipolar gases
• Topological quantum critical points in the extended Bose-Hubbard model
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Quantum phases of dipolar bosons in one-dimensional optical lattices
• The Coming Decades of Quantum Simulation
• Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution
• A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons
• Ground states of one-dimensional dipolar lattice bosons at unit filling
• Emergent Carroll symmetry at phase separation in one-dimensional lattice systems
• Topological phases of bosons with local parity coupling on a dimerized lattice
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice