Unified view on linear response of interacting identical and distinguishable particles from multiconfigurational time-dependent Hartree methods

Abstract

A unified view on linear response of interacting systems utilizing multicongurational time-dependent Hartree methods is presented. The cases of one-particle and two-particle response operators for identical particles and up to all-system response operators for distinguishable degrees-of-freedom are considered. The working equations for systems of identical bosons (LR-MCTDHB) and identical fermions (LR-MCTDHF), as well for systems of distinguishable particles (LR-MCTDH) are explicitly derived. These linear-response theories provide numerically-exact excitation energies and system's properties, when numerical convergence is achieved in the calculations.

51 pages

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• A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures
• Quantum dynamical response of ultracold few boson ensembles in finite optical lattices to multiple interaction quenches
• Many-body excitations and de-excitations in trapped ultracold bosonic clouds
• Enhanced many-body effects in the excitation spectrum of a weakly-interacting rotating Bose-Einstein condensate
• Many-body effects in the excitation spectrum of weakly-interacting Bose-Einstein condensates in one-dimensional optical lattices
• Many-body excitation spectra of trapped bosons with general interaction by linear response
• Generating scalable entanglement of ultracold bosons in superlattices through resonant shaking