Dynamics and evaporation of defects in Mott-insulating clusters of boson pairs

Abstract

Repulsively bound pairs of particles in a lattice governed by the Bose-Hubbard model can form stable incompressible clusters of dimers corresponding to finite-size n=2 Mott insulators. Here we study the dynamics of hole defects in such clusters corresponding to unpaired particles which can resonantly tunnel out of the cluster into the lattice vacuum. Due to bosonic statistics, the unpaired particles have different effective mass inside and outside the cluster, and "evaporation" of hole defects from the cluster boundaries is possible only when their quasi-momenta are within a certain transmission range. We show that quasi-thermalization of hole defects occurs in the presence of catalyzing particle defects which thereby purify the Mott insulating clusters. We study the dynamics of one-dimensional system using analytical techniques and numerically exact t-DMRG simulations. We derive an effective strong-interaction model that enables simulations of the system dynamics for much longer times. We also discuss a more general case of two bosonic species which reduces to the fermionic Hubbard model in the strong interaction limit.

12 pages, 10 figures, minor updates

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• Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: A comparison of the nonequilibrium Green functions approach and the density matrix renormalization group method
• Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
• Quantum distillation and confinement of vacancies in a doublon sea
• Motion of a distinguishable impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
• Expansion of one-dimensional lattice hard-core bosons at finite temperature
• Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime
• Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
• Bose-Hubbard physics in synthetic dimensions from interaction Trotterization
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
• Sudden expansion and domain-wall melting of strongly interacting bosons in two-dimensional optical lattices and on multileg ladders
• Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
• Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model
• Self trapping in the two-dimensional Bose-Hubbard model
• Propagation of a single hole defect in the one-dimensional Bose-Hubbard model
• Expansion dynamics in two-dimensional Bose-Hubbard lattices: Bose-Einstein condensate and thermal cloud
• Efficiency of fermionic quantum distillation