NRG for the bosonic single-impurity Anderson model: Dynamics

TL;DR

This paper uses numerical renormalization group methods to analyze the local dynamics of the bosonic single-impurity Anderson model, revealing phase distinctions and dynamical behaviors in Mott and BEC phases.

Contribution

It extends previous work by calculating local dynamical quantities, deepening understanding of phase-specific physics in the B-SIAM.

Findings

Identification of dynamical properties in Mott and BEC phases

Reinforcement of phase diagram with dynamical data

Enhanced understanding of entanglement and decoherence mechanisms

Abstract

The bosonic single-impurity Anderson model (B-SIAM) is studied to understand the local dynamics of an atomic quantum dot (AQD) coupled to a Bose-Einstein condensation (BEC) state, which can be implemented to probe the entanglement and the decoherence of a macroscopic condensate. Our recent approach of the numerical renormalization group (NRG) calculation for the B-SIAM revealed a zero-temperature phase diagram, where a Mott phase with local depletion of normal particles is separated from a BEC phase with enhanced density of the condensate. As an extension of the previous work, we present the calculations of the local dynamical quantities of the B-SIAM which reinforce our understanding of the physics in the Mott and the BEC phases.