$\eta$-pairing states in the Hubbard model with non-uniform Hubbard interaction

Abstract

The existence of $\eta$-pairing eigenstates in the fermionic Hubbard model is fundamentally rooted in the $\eta$-pairing symmetry, which may hold for systems with non-uniform Hubbard interaction $U$. In this work, we present a generalized Hubbard model containing a variety of pseudo-spin terms that break the SO${}_4$ symmetry but retain the $\eta$-pairing symmetry. This allows us to construct a variety of correlated systems possessing $\eta$% -pairing eigenstates.\ We exemplify our findings by considering a modified Hubbard model associated with alternative magnetic fields and on-site repulsion. We find that the same quasi-$\eta$-pairing eigenstate exhibits two distinct dynamic behaviors in the two models. Numerical results of the time evolution driven by several typical Hamiltonians accord with the analytic predictions and provide a way of the control of an $\eta$-pairing wavepacket with the aid of a time-dependent Hamiltonian.

References in corpus (9)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• A Quantum Gas Microscope for Fermionic Atoms
• Metastable superfluidity of repulsive fermionic atoms in optical lattices
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Photoinduced $\eta$-pairing at finite temperatures
• Analytical Solution for the Steady States of the Driven Hubbard model
• Steady off-diagonal long-range order state in a half-filled dimerized Hubbard chain induced by a resonant pulsed field
• Dynamic transition from insulating state to eta-pairing state in a composite non-Hermitian system
• Quantum Many-Body Scars in Few-Body Dipole-Dipole Interactions