Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model

By A. Laeuchli, C. Kollath. 2008

224 citations recorded by the source corpus.

We investigate the spreading of information in a one-dimensional Bose–Hubbard system after a sudden parameter change. In particular, we study the time evolution of correlations and entanglement following a quench. The investigated quantities show a light-cone-like evolution, i.e. the spreading with a finite velocity. We discuss the relation of this velocity to other characteristic velocities of the system, like the sound velocity. The entanglement is investigated using two different measures, the von Neumann entropy and mutual information. Whereas the von Neumann entropy grows rapidly with time the mutual information between two small subsystems can decrease as well after an initial increase. Additionally we show that the static von Neumann entropy characterizes the location of the quantum phase transition.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/ef5440a5079cd43c6e9d154703c9c71ac039a5bc

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In Atomic and Molecular Physics, and Optics

1. A. Nahum
2. V. Khemani
3. Matthew Fisher
4. C. Gross
5. Andrew J. Daley
6. I. Bloch
7. S. Vijay
8. Takeshi Fukuhara

Citations in the corpus

• Entanglement entropy in quantum impurity systems and systems with boundaries (2009, background): “Fermions or bosons confined in 1D geometries with OBC are also affected by such a modulation, as reported for fermionic [78–80] and bosonic [81] Hubbard-like models.”
• Random Quantum Circuits (2022, background): “Journal of High Energy Physics, 2008(10):065, 2008.”
• Quantum trajectories and open many-body quantum systems (2014, methodology): “This has been investigated in a variety of different models, including the Bose-Hubbard model [248, 251].”
• Light-cone-like spreading of correlations in a quantum many-body system (2011, background): “can be generalized remains however an open questio”