Stability of quantum breathers

TL;DR

This paper demonstrates the stability of quantum breathers in a one-dimensional lattice using two different analytical and numerical methods, confirming their robustness in quantum systems.

Contribution

It introduces two novel approaches—path integral analysis and Hamiltonian diagonalization—for establishing quantum breather stability.

Findings

Quantum breathers are stable in 1-D lattices.

Path integral and diagonalization methods agree on stability.

Provides a framework for analyzing quantum localized modes.

Abstract

Using two methods we show that a quantized discrete breather in a 1-D lattice is stable. One method uses path integrals and compares correlations for a (linear) local mode with those of the quantum breather. The other takes a local mode as the zeroth order system relative to which numerical, cutoff-insensitive diagonalization of the Hamiltonian is performed.