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

• URL: http://arxiv.org/abs/2106.05893v2
• Date: Tue, 9 Nov 2021 10:25:29 GMT
• Title: Supersolid-Superfluid phase separation in the extended Bose-Hubbard model
• Authors: Korbinian Kottmann, Andreas Haller, Antonio Ac\'in, Grigory E. Astrakharchik, Maciej Lewenstein
• Abstract summary: We show that this new phase is phase-separated into a supersolid and superfluid part, generated by mechanical instability. In particular, we demonstrate that the elementary excitations of the homogeneous superfluid with enhanced periodic modulations are phonons. This suggests that the low-energy spectrum of the phase under investigation is effectively captured by a spinless Luttinger liquid.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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