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

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...

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Bibliographic Details
Published in:Journal of statistical mechanics 2022-04, Vol.2022 (4), p.43101
Main Author: Mendoza-Arenas, Juan José
Format: Article
Language:English
Subjects:
Hubbard and related model
quantum phase transitions
quantum quenches
tensor network simulations
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Summary: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.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/ac6031