Correlation Effects In The Quench-Induced Phase Separation Dynamics Of A Two Species Ultracold Quantum Gas

We Explore The Quench Dynamics Of A Binary Bose-Einstein Condensate Crossing The Miscibility-Immiscibility Threshold And Vice Versa, Both Within And In Particular Beyond The Mean-Field Approximation. Increasing The Interspecies Repulsion Leads To The Filamentation Of The Density Of Each Species, Involving Shorter Wavenumbers And Longer Spatial Scales In The Many-Body (MB) Approach. These Filaments Appear To Be Strongly Correlated And Exhibit Domain-Wall Structures. Following The Reverse Quench Process Multiple Dark-Antidark Solitary Waves Are Spontaneously Generated And Subsequently Found To Decay In The MB Scenario. We Simulate Single-Shot Images To Connect Our Findings To Possible Experimental Realizations. Finally, The Growth Rate Of The Variance Of A Sample Of Single-Shots Probes The Degree Of Entanglement Inherent In The System.