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Low Rank Structure of the Reduced Transition Matrix
Cathy Li, Bruno Bertini, Katja Klobas +1
The influence-matrix formalism provides an alternative route to the classical simulation of quantum dynamics. Because influence matrices retain information only about the effective…
Quench dynamics in lattices above one dimension: the free fermionic case
Molly Gibbins, Arash Jafarizadeh, Adam Gammon-Smith +1
We begin a systematic investigation of quench dynamics in higher-dimensional lattice systems considering the case of non-interacting fermions with conserved particle number. We pre…
Temporal Entanglement in Chaotic Quantum Circuits
Alessandro Foligno, Tianci Zhou, Bruno Bertini
The concept of space-evolution (or space-time duality) has emerged as a promising approach for studying quantum dynamics. The basic idea involves exchanging the roles of space and…
Integrable Digital Quantum Simulation: Generalized Gibbs Ensembles and Trotter Transitions
Eric Vernier, Bruno Bertini, Giuliano Giudici +1
The Trotter-Suzuki decomposition is a promising avenue for digital quantum simulation (DQS), approximating continuous-time dynamics by discrete Trotter steps of duration . Recen…
Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
Bruno Bertini, Katja Klobas, Tsung-Cheng Lu
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-ti…
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…