Supersolid Stripe Crystal from Finite-Range Interactions on a Lattice

Abstract

Strong, long-range interactions present a unique challenge for the theoretical investigation of quantum many-body lattice models, due to the generation of large numbers of competing states at low energy. Here, we investigate a class of extended bosonic Hubbard models with off-site terms interpolating between short-and infinite-range, thus allowing for an exact numerical solution for all interaction strengths. We predict a novel type of stripe crystal at strong coupling. Most interestingly, for intermediate interaction strengths we demonstrate that the stripes can turn superfluid, thus leading to a self-assembled array of quasi one-dimensional superfluids. These bosonic superstripes turn into an isotropic supersolid with decreasing the interaction strength. The mechanism for stripe formation is based on cluster self-assemblying in the corresponding classical ground state, reminiscent of classical soft-matter models of polymers, different from recently proposed mechanisms for cold gases of alkali or dipolar magnetic atoms. PACS numbers: 05.30.-d, 67.80.K-, 64.75.Yz arXiv:1909.09082v1 [cond-mat.quant-gas]We discuss the effects of variations in density and interaction range on the many-body phases of [S1]. In particular, for a choice of density ρ = 1/6, we demonstrate the existence of a stripe crystal for large values of interaction strength V /t and of a quantum phase transition from an anisotropic supersolid to a homogeneous supersolid with decreasing V /t for Hamiltonian Eq. (1) in the main text [S1].

Supersolid phases of lattice dipoles tilted in three-dimensions

“…Here, particles are also arranged in horizontal clusters much like in the cluster solid but the system also supports a superfluid response. We notice that similar phases have also been observed in lattice bosonic systems with softshoulder interactions [39,40] For γ 0.106, the GBSF no longer intervenes between CSS and CIP and the CSS becomes a CIP through a second order phase transition. Upon further decreasing γ, there appears an extended metastable (MS) region (shaded green area in figure 5(b)) for 0.096 γ 0.0985, where, given a certain γ and n, we find the system in either a cluster supersolid, a stripe supersolid or an incompressible phase depending on the initial conditions of the simulation.…”

Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems

“…Additionally, its extension to simulating the time evolution of quantum many-body systems has revealed a vast range of exotic dynamical properties in strongly interacting systems [29][30][31][32][33]. Here, it is worth mentioning that quantum Monte Carlo methods have been used to study higher-dimensional and long-range quantum many-body systems [34][35][36][37][38][39][40].…”

Spontaneous spatial order in two-dimensional ferromagnetic spin-orbit coupled uniform spin-1 condensate solitons

“…using an optical-lattice potential. Following theoretical suggestions to create a super-solid with dipolar [7] and finite-range [8] atomic interactions, more recently, different experimental groups confirmed its presence in a dipolar BEC in quasi-two-dimensional (quasi-2D) [9] and quasi-one-dimensional (quasi-1D) [10] geometries.…”