129 citations · 872 across the 28 of their papers we have counts for
5 papers · 1 filter
Modelling equilibration of local many-body quantum systems by random graph ensembles
Daniel Nickelsen, Michael Kastner
We introduce structured random matrix ensembles, constructed to model many-body quantum systems with local interactions. These ensembles are employed to study equilibration of isol…
Lieb-Robinson bounds for open quantum systems with long-ranged interactions
Ryan Sweke, Jens Eisert, Michael Kastner
We state and prove four types of Lieb-Robinson bounds valid for many-body open quantum systems with power law decaying interactions undergoing out of equilibrium dynamics. We also…
Thermalization of a Lipkin-Meshkov-Glick model coupled to a bosonic bath
Jan C. Louw, Johannes N. Kriel, Michael Kastner
We derive a Lindblad master equation that approximates the dynamics of a Lipkin-Meshkov-Glick (LMG) model weakly coupled to a bosonic bath. By studying the time evolution of operat…
Quantum kinetic perturbation theory for near-integrable spin chains with weak long-range interactions
Clément Duval, Michael Kastner
For a transverse-field Ising chain with weak long-range interactions we develop a perturbative scheme, based on quantum kinetic equations, around the integrable nearest-neighbour m…
Classical Lieb-Robinson Bound for Estimating Equilibration Timescales of Isolated Quantum Systems
Daniel Nickelsen, Michael Kastner
We study equilibration of an isolated quantum system by mapping it onto a network of classical oscillators in Hilbert space. By choosing a suitable basis for this mapping, the degr…