Related Experiment Video
Updated: Feb 10, 2026

Correlative Microscopy for 3D Structural Analysis of Dynamic Interactions
Published on: June 24, 2013
Exact Local Correlations and Full Counting Statistics for Arbitrary States of the One-Dimensional Interacting Bose
Alvise Bastianello1, Lorenzo Piroli1, Pasquale Calabrese1
1SISSA and INFN, via Bonomea 265, 34136 Trieste, Italy.
Abstract:
We derive exact analytic expressions for the n-body local correlations in the one-dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the thermodynamic limit. Our results are valid for arbitrary states of the model, including ground and thermal states, stationary states after a quantum quench, and nonequilibrium steady states arising in transport settings. Calculations for these states are explicitly presented and physical consequences are critically discussed. We also show that the n-body local correlations are directly related to the full counting statistics for the particle-number fluctuations in a short interval, for which we provide an explicit analytic result.
Related Concept Videos
Correlations
Fisher's Exact Test
Statistical Significance
Correlation and Causation
Correlation versus Causation
If the dependent variable increases or decreases when the independent variable increases, there is a positive or negative...
Moment of Inertia about an Arbitrary Axis
In this scenario, the perpendicular distance between the chosen arbitrary axis...
Angular Momentum about an Arbitrary Axis
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...

