Polaronic dressing from a Bose-Einstein condensate destroys a loosely bound dimer of two impurity atoms while a tightly bound dimer survives, with the crossover set by the ratio of dimer binding energy to polaron energy.
Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
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abstract
We study two mobile bosonic impurities immersed in a one-dimensional optical lattice and interacting with a bosonic bath. We employ the exact diagonalization method for small periodic lattices to study stationary properties and dynamics. We consider the branch of repulsive interactions that induce the formation of bound impurities, akin to the bipolaron problem. A comprehensive study of ground-state and low-energy properties is presented, including an examination of the interaction strengths which induce the formation of a bound dimer of impurities. We also study the dynamics induced after an interaction quench to examine the stability of the bound dimers. We reveal that after large interaction quenches from strong to weak interactions the system can show large oscillations over time with revivals of the dimer states. We find that the oscillations are driven by selected eigenstates with phase-separated configurations.
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Polaronic dressing of bound states
Polaronic dressing from a Bose-Einstein condensate destroys a loosely bound dimer of two impurity atoms while a tightly bound dimer survives, with the crossover set by the ratio of dimer binding energy to polaron energy.