Building ground states of Hubbard model by time-ordered bound-pair injection
arXiv:2108.07500 · doi:10.1103/PhysRevB.104.245140
Abstract
According to energy band theory, ground states of a normal conductor and insulator can be obtained by filling electrons individually into energy levels, without any restrictions. It fails when the electron-electron correlation is taken into account. In this work, we investigate the dynamic process of building ground states of a Hubbard model. It is based on time-ordered quantum quenches for unidirectional hopping across a central and an auxiliary Hubbard model. We find that there exists a set of optimal parameters (chemical potentials and pair binding energy) for the auxiliary system, which takes the role of electron-pair reservoir. The exceptional point dynamics in non-Hermitian quantum mechanics allows the perfect transfer of electron pair from the reservoir to the central system, obtaining its ground states at different fillings. The dynamics of time-ordered pair-filling not only provides a method for correlated quantum state engineering, but also reveals the feature of the ground state in an alternative way.
12 pages, 7 figures
References in corpus (11)
- The physics of exceptional points
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- Interaction Quench in the Hubbard model
- Dynamical phase transition in correlated fermionic lattice systems
- Strong dissipation inhibits losses and induces correlations in cold molecular gases
- Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
- A Quantum Gas Microscope for Fermionic Atoms
- Strongly correlated fermions after a quantum quench
- Quantum quench dynamics of the Luttinger model
- Physics counterpart of the PT non-hermitian tight-binding chain
- Dynamic magnetization in non-Hermitian quantum spin system