Resonant Regimes in the Fock-Space Coherence of Multilevel Quantum Dots

TL;DR

This paper investigates the unique resonant behaviors of Fock-space coherence in multilevel quantum dots, identifying conditions for long-lived coherence resonances that are robust against relaxation and transport effects.

Contribution

It introduces the concept of decoupling Fock-space coherence dynamics from other system dynamics and identifies specific regimes where long-lived resonances occur.

Findings

Resonance in Fock-space coherence can be decoupled from population and Hilbert-space coherence.

Long-lived Fock-space coherence resonances occur under specific energy and coupling conditions.

Resonances remain robust despite boson-mediated relaxation and transport effects.

Abstract

The coherence between quantum states with different particle numbers --- the Fock-space coherence --- qualitatively differs from the more common Hilbert-space coherence between states with equal particle numbers. For a quantum dot with multiple channels available for transport, we find the conditions for decoupling the dynamics of the Fock-space coherence from both the Hilbert-space coherence as well as the population dynamics. We further find specific energy and coupling regimes where a long-lived resonance in the Fock-space coherence of the system is realized, even where no resonances are found either in the populations or Hilbert-space coherence. Numerical calculations show this resonance remains robust in the presence of both boson-mediated relaxation and transport through the quantum dot.