Forming doublons by a quantum quench

Abstract

Repulsive interactions between particles on a lattice may lead to bound states, so called doublons. Such states may be created by dynamically tuning the interaction strength, e.g. using a Feshbach resonance, from attraction to repulsion. We study the doublon production efficiency as a function of the tuning rate at which the on-site interaction is varied. An expectation based on the Landau- Zener law suggests that exponentially few doublons are created in the adiabatic limit. Contrary to such an expectation, we found that the number of produced doublons scales as a power law of the tuning rate with the exponent dependent on the dimensionality of the lattice. The physical reason for this anomaly is the effective decoupling of doublons from the two-particle continuum for center of mass momenta close to the corners of the Brillouin zone. The study of doublon production may be a sensitive tool to extract detailed information about the band structure.

5 pages, 3 figures

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Cold bosonic atoms in optical lattices
• Production of cold molecules via magnetically tunable Feshbach resonances
• Repulsively bound atom pairs in an optical lattice
• Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
• Two-particle states in the Hubbard model
• Landau-Zener transition in a multilevel system. An exact result
• Many body generalization of the Landau Zener problem
• Multiparticle Landau-Zener problem
• Doublon relaxation in the Bose-Hubbard model
• Lattice Induced Resonances in One Dimensional Bosonic Systems
• Feshbach Molecules in a One-dimensional Optical Lattice

Cited by in corpus (10)

• Ultrafast Dynamics of Strongly Correlated Fermions -- Nonequilibrium Green Functions and Selfenergy Approximations
• Solvable multistate model of Landau-Zener transitions in cavity QED
• Exact results for models of multichannel quantum nonadiabatic transitions
• Doublon formation by ions impacting a strongly correlated finite lattice system
• Multistate Landau-Zener models with all levels crossing at one point
• Nonadiabatic transitions in exactly solvable quantum mechanical multichannel model: role of level curvature and counterintuitive behavior
• Quantum interference-induced stability of repulsively bound pairs of excitations
• Low-energy doublons in the ac-driven two-species Hubbard model
• Exact transition probabilities in the three-state Landau-Zener-Coulomb model
• The model of a level crossing with a Coulomb band: exact probabilities of nonadiabatic transitions