Many-body Dynamics in Quantum Simulators Many-body Dynamics in Quantum Simulators In this project, we are using state-of-the-art numerical methods based on combinations of exact diagonalisation and tensor network approaches to compute many-body dynamics of quantum systems. This work addresses key open questions spanning (1) fundamental many-body dynamics, including understanding entanglement growth and correlation spreading after quantum quenches; (2) manipulation of quantum simulators in real hardware, including adiabatic state preparation and the control and characterisation of heating and measurement processes; and (3) applications of quantum computing and simulation. The area of quantum simulation has undergone major growth internationally in the past few years, and has important implications for our understanding of how to engineer new materials, and how to solve major computational problems in physics, chemistry, and related subjects.The methods used are coded by the Quantum Optics and Quantum Many-body systems group and involve new implementations of methods involving matrix product operators to deal with open quantum systems and Hamiltonian dynamics with long-range interactions, as well as new techniques for non-markovian open quantum systems. This work takes place in the context of national and international project collaborations, including the EPSRC Programme Grant on “Designing Out of Equilibrium Many-body Quantum Systems” , the UK Quantum Technology Hub for Computing and Simulation, The SQUARE project building scalable qubit arrays with neutral atoms at the University of Strathclyde, and international projects developing quantum simulation including the EU project PASQuanS developing programmable large-scale atomic quantum simulators, and a US Air Force office of Scientific Research (AFOSR) project on Engineering many-body quantum states and dissipative dynamics in quantum simulators. For more information about the project contact Prof Andrew Daley (firstname.lastname@example.org), Professor at the Department of Physics at the University of Strathclyde. For a list of the research areas in which ARCHIE-WeSt users are active please click here.