Abstract

We explore the correlated quantum dynamics of a single atom, regarded as an open system, with a spatio-temporally localized coupling to a finite bosonic environment. The single atom, initially prepared in a coherent state of low energy, oscillates in a one-dimensional harmonic trap and thereby periodically penetrates an interacting ensemble of NA bosons held in a displaced trap. We show that the inter-species energy transfer accelerates with increasing NA and becomes less complete at the same time. System-environment correlations prove to be significant except for times when the excess energy distribution among the subsystems is highly imbalanced. These correlations result in incoherent energy transfer processes, which accelerate the early energy donation of the single atom and stochastically favour certain energy transfer channels, depending on the instantaneous direction of transfer. Concerning the subsystem states, the energy transfer is mediated by non-coherent states of the single atom and manifests itself in singlet and doublet excitations in the finite bosonic environment. These comprehensive insights into the non-equilibrium quantum dynamics of an open system are gained by ab initio simulations of the total system with the recently developed multi-layer multi-configuration time-dependent Hartree method for bosons.

Highlights

  • Many physically relevant quantum systems are open

  • By analysing the subsystem energy distribution among the socalled natural orbitals, we show how inter-species correlations result in incoherent energy transfer processes, which accelerate the early energy donation of the single atom

  • Thereby, we can show that inter-species correlationsfavour certain energy transfer channels depending on the instantaneous direction of transfer in general

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Summary

Introduction

Many physically relevant quantum systems are open. Intriguing effects in e.g. condensed matter physics [1], quantum optics [2], molecules or light harvesting complexes [3,4,5] are intimately related to environmentally induced dissipation and decoherence and require a careful treatment beyond the unitary dynamics of the time-dependent Schrödinger equation. Rather than simulating the reduced dynamics of the single atom only, we employ the recently developed ab-initio Multi-Layer Multi-Configuration Time-Dependent Hartree Method for Bosons (ML-MCTDHB) [37,38] for obtaining the non-equilibrium quantum dynamics of the whole system for various numbers of environmental degrees of freedom Such a closed system perspective on an open quantum system problem gives the unique opportunity to investigate the dynamics of the open system and its impact on the environment and, to systematically uncover correlations between the two subsystems

Setup and initial conditions
Energy transfer
State analysis of the subsystems
One-body densities
Coherence analysis
State characterization of the bosonic environment
Correlation analysis of the subsystems
Inter-species correlations
Energy distribution among natural orbitals and incoherent transfer processes
Excitations in Fock space and their correlations
Decoupled active subspaces
Intra-species excitations
Correlations between intra-species excitations
Conclusions and outlook
Full Text
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