Multipole symmetries are of interest both as a window on fracton physics and crucial ingredient in realizing new universality classes for quantum dynamics. Here we address the question whether when multipole can be spontaneously broken, thermal equilibrium at zero temperature. We derive generalized Mermin-Wagner arguments total or partial breaking multipolar symmetry groups Imry-Ma robustness s...

We discover multipole-mode solitons supported by the surface between two distinct periodic lattices imprinted in Kerr-type nonlinear media. Such solitons are possible because the refractive index modulation at both sides of the interface glues together their out-of-phase individual constituents. Remarkably, we find that the new type of solitons may feature highly asymmetric shapes, and yet they...

A three-body potential function can account for interactions among triples of particles which are uncaptured by pairwise interaction functions such as Coulombic or Lennard-Jones potentials. Likewise, a multibody potential of order n can account for interactions among n-tuples of particles uncaptured by interaction functions of lower orders. To date, the computation of multibody potential functi...

We present a numerical algorithm for an accurate and efficient computation of the convolution frequency domain layered media Green's function with given density function. Instead compressing matrix directly as in classical fast multipole, direct solver, H-matrix algorithms, this new considers translated form original so existing blocks from highly optimized free-space multipole method can be ea...