Ground state phase diagram of ultrasoft bosons
arXiv:2007.08678 · doi:10.1103/PhysRevA.104.013301
Abstract
In 2D bosonic systems ultra-soft interactions develop an interesting phenomenology that ultimately leads to the appearance of supersolid phases in free space conditions. While suggested in early theoretical works and despite many further analytical efforts, the appearance of these exotic phases as well as the detailed shape of the ground-state phase diagrams have not been established yet. Here we develop a variational mean-field calculation for a generic quantum system with cluster-forming interactions. We show that by including the restriction of a fixed integer number of particles per cluster the ground-state phase diagram can be obtained in great detail. The latter includes the determination of coexistence regimes of crystals of different occupancy as well as crystals with super-fluid phases. To illustrate the application of the method we consider an ultrasoft potential for which the computational phase diagram is known. Our results show very good quantitative agreement with the simulations and suggest that the solid-superfluid coexistence could be a reliable marker to locate supersolidity.
7 pages, 4 figures, final version accepted for publication in Phys. Rev. A
References in corpus (9)
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Why do ultrasoft repulsive particles cluster and crystallize? Analytical results from density functional theory
- Rydberg-induced Solitons: Three-dimensional Self-trapping of Matter Waves
- Supersolidity around a critical point in dipolar Bose Einstein condensates
- Mean-field and stability analysis of two-dimensional flowing soft-core bosons modeling a supersolid
- Hexatic phase and cluster crystals of two-dimensional GEM4 spheres
- Supersolid stripe crystal from finite-range interactions on a lattice
- Supersolid phases of Rydberg-excited bosons on a triangular lattice
- Cluster self-assembly condition for arbitrary interaction potentials