Noise and Counting Statistics of Insulating Phases in One-Dimensional Optical Lattices

TL;DR

This paper analyzes the noise and counting statistics of current-carrying states in one-dimensional insulators created in optical lattices, revealing super-Poissonian noise due to bosonic particle-hole pairs and deriving a general full counting statistics expression.

Contribution

It provides a new theoretical framework for understanding non-equilibrium noise and full counting statistics in 1D insulators with optical lattices, highlighting bosonic effects.

Findings

Equilibrium noise has a gapped spectrum.

Out-of-equilibrium noise shows zero frequency contributions.

Transport follows binomial statistics with doubled charge.

Abstract

We discuss the correlation properties of current carrying states of one-dimensional insulators, which could be realized by applying an impulse to atoms loaded onto an optical lattice. While the equilibrium noise has a gapped spectrum, the quantum uncertainty encoded in the amplitudes for the Zener process gives a zero frequency contribution out of equilibrium. We derive a general expression for the generating function of the full counting statistics and find that the particle transport obeys binomial statistics with doubled charge, resulting in super-Poissonian noise that originates from the bosonic nature of particle-hole pairs.