Smooth Boundary Conditions For Quantum Lattice Systems

TL;DR

This paper introduces smooth boundary conditions for quantum lattice systems, significantly reducing finite-size effects and applicable across various models and numerical methods.

Contribution

It presents a novel boundary condition technique that minimizes finite-size effects in quantum lattice simulations, adaptable to diverse systems and computational approaches.

Findings

Reduced finite-size effects compared to traditional boundary conditions

Applicable to any short-ranged Hamiltonian system

Works in any dimensionality and numerical method

Abstract

We introduce a new type of boundary conditions, {\it smooth boundary conditions}, for numerical studies of quantum lattice systems. In a number of circumstances, these boundary conditions have substantially smaller finite-size effects than periodic or open boundary conditions. They can be applied to nearly any short-ranged Hamiltonian system in any dimensionality and within almost any type of numerical approach.