Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Abstract

Based on tensor network simulations, we discuss the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model. Considering different initial states, namely noninteracting, metallic, insulating spin and charge density waves, we identify several types of sudden interaction quenches which lead to dynamical criticality. In different scenarios, clear connections between DQPTs and particular properties of the mean double occupation or charge imbalance can be established. Dynamical transitions resulting solely from high-frequency time-periodic modulation are also found, which are well described by a Floquet effective Hamiltonian. State-of-the-art cold-atom quantum simulators constitute ideal platforms to implement several reported DQPTs experimentally.

Spin-Triplet Pairing Induced by Near-Neighbor Attraction in the Cuprate Chain

“…1(b) suggest it can only survive up to U c 2.3, located in a much narrower regime. On the other hand, when compared to more recent studies [48,49] where the phase diagrams are only schematic, here we pinpoint the numerically accurate phase boundaries and reveal the predominant triplet quasi-long range pairing of the intriguing TS phase with large-scale DMRG calculations, decades after such a TS instability was proposed [28,32].…”