Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
arXiv:2402.03070 · doi:10.21468/SciPostPhysCore.7.3.049
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.
Submission to SciPost. 29 pages, 17 figures
References in corpus (22)
- The density-matrix renormalization group in the age of matrix product states
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Exact diagonalization: the Bose-Hubbard model as an example
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Bipolarons and multi-polarons consisting of impurity atoms in a Bose-Einstein condensate
- Unconventional superconducting pairing by conventional phonons
- Mediated interaction between polarons in a one-dimensional Bose gas
- Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
- Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
- Lattice polarons across the superfluid to Mott insulator transition
- Preparation of the spin-Mott state: a spinful Mott insulator of repulsively bound pairs
- Polarons and bipolarons in a two-dimensional square lattice
- The effect of boson-boson interaction on the Bipolaron formation
- Quantum droplets with particle imbalance in one-dimensional optical lattices
- Polaron spectroscopy of interacting Fermi systems: insights from exact diagonalization
- Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
- Mobile impurities interacting with a few one-dimensional lattice bosons
- Non-equilibrium dynamics of dipolar polarons
- Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
- Emergent Mott-insulators at non-integer fillings and devil's staircase induced by attractive interaction in many-body polarons
- Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
Cited by in corpus (7)
- Interactions mediated by atoms, photons, electrons, and excitons
- Counterflow of lattice polarons in harmonically confined optical lattices
- Few-body bound states of bosonic mixtures in two-dimensional optical lattices
- Polaronic dressing of bound states
- Effective two- and three-body interactions between dressed impurities in a tilted double-well potential
- The Bose-Hubbard polaron from weak to strong coupling
- Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations