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

TL;DR

This paper investigates dynamical quantum phase transitions in a one-dimensional extended Fermi-Hubbard model using tensor network simulations, revealing how different initial states and quenches induce DQPTs and connecting these to observable properties.

Contribution

It introduces a comprehensive analysis of DQPTs in the extended Fermi-Hubbard model with various initial states and quenches, including Floquet-driven transitions, using advanced tensor network methods.

Findings

Multiple types of DQPTs identified for different initial states and quenches.

Observable properties like double occupation and charge imbalance are linked to DQPTs.

High-frequency periodic driving induces DQPTs described by Floquet theory.

Abstract

We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model, based on tensor network simulations. Considering different initial states, namely noninteracting, metallic, insulating spin and charge density waves, we identify several types of sudden interaction quenches which lead to DQPTs. Furthermore, clear connections to particular properties of observables, specifically the mean double occupation or charge imbalance, are established in two main regimes, and scenarios in which such correspondence is degraded and lost are discussed. 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.