Many-Body Quantum Dynamics And Induced Correlations Of Bose Polarons

We Study The Ground State Properties And Non-Equilibrium Dynamics Of Two Spinor Bosonic Impurities Immersed In A One-Dimensional Bosonic Gas Upon Applying An Interspecies Interaction Quench. For The Ground State Of Two Non-Interacting Impurities We Reveal Signatures Of Attractive Induced Interactions In Both Cases Of Attractive Or Repulsive Interspecies Interactions, While A Weak Impurity-Impurity Repulsion Forces The Impurities To Stay Apart. Turning To The Quench Dynamics We Inspect The Time-Evolution Of The Contrast Unveiling The Existence, Dynamical Deformation And The Orthogonality Catastrophe Of Bose Polarons. We Find That For An Increasing Postquench Repulsion The Impurities Reside In A Superposition Of Two Distinct Two-Body Configurations While At Strong Repulsions Their Corresponding Two-Body Correlation Patterns Show A Spatially Delocalized Behavior Evincing The Involvement Of Higher Excited States. For Attractive Interspecies Couplings, The Impurities Exhibit A Tendency To Localize At The Origin And Remarkably For Strong Attractions They Experience A Mutual Attraction On The Two-Body Level That Is Imprinted As A Density Hump On The Bosonic Bath.