Speaker: 
Johannes Schachenmayer - CESQ, CNRS and Université de Strasbourg

Title: 
Simulating quantum many-body dynamics in systems with collective couplings and dissipation

Abstract:
Simulating the non-equilibrium dynamics of many interacting quantum particles on a classical computer is a challenging task due to the build-up of strong (quantum) correlations. The problem seems to become even more difficult in the presence of long-range couplings, and in cases where one wants to include couplings to an environment. In this talk I will discuss that the situation is in fact much more subtle. I will introduce numerical matrix product state methods for the simulation of such models, and show how the numerical complexity of simulations is directly connected to the entanglement build-up in the dynamics. Remarkably, entanglement build-up can be less important when introducing long-range interactions. Furthermore, dissipation leads to decoherence and our method can exploit this to make simulations more efficient. I will demonstrate the usefulness of our numerical approaches with recent research results for the dynamics of cavity-coupled quantum emitters.

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QuCoLiMa Talks are regular seminars of the collaborative research center TRR 306 QuCoLiMa (Quantum Cooperativity of Light and Matter), where (external) experts are invited to present their work.

More information at www.qucolima.de/talks