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Integrable quenches in the Hubbard model (2022)
Journal Article
Rylands, C., Bertini, B., & Calabrese, P. (2022). Integrable quenches in the Hubbard model. Journal of Statistical Mechanics: Theory and Experiment, 2022(10), Article 103103. https://doi.org/10.1088/1742-5468/ac98be

We study the quench dynamics of the one-dimensional Hubbard model through the quench action formalism. We introduce a class of integrable initial states—expressed as product states over two sites—for which we can provide an exact characterisation of... Read More about Integrable quenches in the Hubbard model.

Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality (2022)
Journal Article
Bertini, B., Klobas, K., & Lu, T. (2022). Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality. Physical Review Letters, 129(14), Article 140503. https://doi.org/10.1103/physrevlett.129.140503

We study the growth of entanglement between two adjacent regions in a tripartite, one-dimensional many-body system after a quantum quench. Combining a replica trick with a space-time duality transformation, we derive an exact, universal relation betw... Read More about Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality.

Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture (2022)
Journal Article
Bertini, B., Klobas, K., Alba, V., Lagnese, G., & Calabrese, P. (2022). Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture. Physical Review X, 12(3), Article 031016. https://doi.org/10.1103/PhysRevX.12.031016

Rényi entropies are conceptually valuable and experimentally relevant generalizations of the celebrated von Neumann entanglement entropy. After a quantum quench in a clean quantum many-body system they generically display a universal linear growth in... Read More about Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture.

Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy and Generalized Hydrodynamics (2022)
Journal Article
Bertini, B., Essler, F. H., & Granet, E. (2022). Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy and Generalized Hydrodynamics. Physical Review Letters, 128(19), Article 190401. https://doi.org/10.1103/PhysRevLett.128.190401

We consider fermions defined on a continuous one-dimensional interval and subject to weak repulsive two-body interactions. We show that it is possible to perturbatively construct an extensive number of mutually compatible conserved charges for any in... Read More about Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy and Generalized Hydrodynamics.

Exact spectral statistics in strongly localized circuits (2022)
Journal Article
Bertini, B., Kos, P., & Prosen, T. (2022). Exact spectral statistics in strongly localized circuits. Physical Review B, 105(16), Article 165142. https://doi.org/10.1103/physrevb.105.165142

Since the seminal work of Anderson, localization has been recognized as a standard mechanism allowing quantum many-body systems to escape ergodicity. This idea has acquired even more prominence in the last decade as it has been argued that localizati... Read More about Exact spectral statistics in strongly localized circuits.