arXiv subjects

Daniel M. Sussman

Publications and source records attributed to Daniel M. Sussman.

39 records · Page 3Linked to original sources

arXiv2014

Making the Cut: Lattice Kirigami Rules

In this paper we explore and develop a simple set of rules that apply to cutting, pasting, and folding honeycomb lattices. We consider origami-like structures that are extinsically flat away from zero-dimensional sources of Gaussian curvature and one-dimensional sources of mean curvature, and our cutting and pasting rules maintain the intrinsic bond lengths on both the lattice and its dual lattice. We find that a small set of rules is allowed providing a framework for exploring and building kirigami -- folding, cutting, and pasting the edges of paper.

cond-mat.soft↗

arXiv2014

The Geometry of the Cholesteric Phase

We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret description of an orthonormal triad determined by this axis, the director, and the mutually perpendicular direction. With this tool we are able to compare defect structures in cholesterics, biaxial nematics, and smectics. Though they all have similar ground state manifolds, the defect structures are different and cannot be, in general, translated from one phase to the other.

cond-mat.soft↗

arXiv2007

Discrete phase space and minimum-uncertainty states

The quantum state of a system of qubits can be represented by a Wigner function on a discrete phase space, each axis of the phase space taking values in a finite field. Within this framework, we show that one can make sense of the notion of a "rotationally invariant state" of any collection of qubits, and that any such state is, in a well defined sense, a state of minimum uncertainty.

quant-ph↗