Hopping modulation in a one-dimensional Fermi-Hubbard Hamiltonian

Abstract

We consider a strongly repulsive two-component Fermi gas in a one-dimensional (1D) optical lattice described in terms of a Hubbard Hamiltonian. We analyze the response of the system to a periodic modulation of the hopping amplitude in presence of large two body interaction. By (essentially) exact simulations of the time evolution, we find a non-trivial double occupancy frequency dependence. We show how the dependence relates to the spectral features of the system given by the Bethe ansatz. The discrete nature of the spectrum is clearly reflected in the double occupancy after long enough modulation time. We also discuss the implications of the 1D results to experiments in higher dimensional systems.

4 pages, 5 figures; minor changes in the text, updated references;

References in corpus (3)

• Repulsively bound atom pairs in an optical lattice
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Local quantum criticality in confined fermions on optical lattices

Cited by in corpus (14)

• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Expansion dynamics in the one-dimensional Fermi-Hubbard model
• Dynamics of an impurity in a one-dimensional lattice
• Probing the FFLO phase by double occupancy modulation spectroscopy
• Probing the bond order wave phase transitions of the ionic Hubbard model by superlattice modulation spectroscopy
• Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
• Parametric resonance and spin-charge separation in 1D fermionic systems
• Polaron-like effects in a one-dimensional optical lattice
• Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices
• Dynamical Unbinding Transition in a Periodically Driven Mott Insulator
• Phase-controlled localization and directed transport in a bipartite lattice
• Thermometry of ultracold fermions by (super)lattice modulation spectroscopy
• Collision of one dimensional (1D) spin polarized Fermi gases in an optical lattice
• Radio-frequency driving of an attractive Fermi gas in a one-dimensional optical lattice