Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
arxiv(2024)
摘要
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 the characterization of the critical strength for the formation of
bound impurities. We also study the dynamics induced after an
interaction-quench to examine the stability of the bound impurities. 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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