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Exact Spectral Statistics in Strongly Localised Circuits
Bruno Bertini, Pavel Kos, Tomaz Prosen
Since the seminal work of Anderson, localisation has been recognised as a standard mechanism allowing quantum many-body systems to escape ergodicity. This idea acquired even more p…
Real-Time Evolution in the Hubbard Model with Infinite Repulsion
Elena Tartaglia, Pasquale Calabrese, Bruno Bertini
We consider the real-time evolution of the Hubbard model in the limit of infinite coupling. In this limit the Hamiltonian of the system is mapped into a number-conserving quadratic…
Duality between weak and strong interactions in quantum gases
Etienne Granet, Bruno Bertini, Fabian H. L. Essler
In one dimensional quantum gases there is a well known "duality" between hard core bosons and non-interacting fermions. However, at the field theory level, no exact duality connect…
Thermalisation Dynamics and Spectral Statistics of Extended Systems with Thermalising Boundaries
Pavel Kos, Tomaz Prosen, Bruno Bertini
We study thermalisation and spectral properties of extended systems connected, through their boundaries, to a thermalising Markovian bath. Specifically, we consider periodically dr…
Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
Katja Klobas, Bruno Bertini
We study the entanglement dynamics generated by quantum quenches in the quantum cellular automaton Rule . We consider the evolution from a recently introduced class of solvable…
Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
Katja Klobas, Bruno Bertini
We study the out-of-equilibrium dynamics of the quantum cellular automaton Rule 54 using a time-channel approach. We exhibit a family of (non-equilibrium) product states for which…