# Quantization of Dissipative Chaos: Ideas and Means

#### 709. WE-Heraeus-Seminar

Bericht16 Dec - 20 Dec 2019

Where:

Physikzentrum Bad Honnef

Scientific organizers:

Prof. Dr. Sergej Flach, Center for Theor. Physics of Complex Systems, Korea • Prof. Dr. Jürgen Kurths, HU Berlin and PIK Potsdam • Prof. Dr. Mikhail Ivanchenko, Lobachevsky U, Russia

Dissipative quantum systems are already a part of technological reality, their theory is well developed. What is still missing, however, is the relation between this type of quantum systems and their classical counterparts, which are dissipative dynamical systems. Although some steps in this direction have already been taken, progress remains limited. At the same time, the need for a "theory of dissipative quantum chaos" is out of question; its necessity is justified by both the experimental advances and the progress on the side of computational quantum physics of many-body open systems. The idea of our seminar is to create an interface between the two communities – researchers working in the field of open quantum systems and in classical dissipative chaos – and encourage them to make steps towards categorization of the regimes and phenomena appearing in open quantum systems, driven far from equilibrium, by using concepts and notions of classical dissipative chaos. In short, the key issue of the proposed seminar is the following question: How to "quantize" dissipative chaos? This problem branches into a multitude of intriguing questions like: Can one differentiate between different regimes of an open non-equilibrium quantum system, by defining "regular" and "chaotic" quantum "attractors"? Can one generalize the notion/idea of bifurcations (periodic doubling, tangent, etc) to quantum dissipative systems? What are (possible) quantum analogues of synchronization? Where does the road to answers begin? It starts from discussions and exchange of ideas. This is precisely the aim of the proposed seminar.

The conference language will be English. The Wilhelm and Else Heraeus-Foundation bears the cost of full-board accommodation for all participants.