Open quantum manybody systems
Dissipation is usually seen as an enemy of coherent evolution, as a decohering process that removes quantum features from the state of a system. It has recently become clear, however, that engineered dissipation can be an ally and help in robust state preparation and manipulation. The interplay between Hamiltonian interactions and open systems dynamics gives rise to new kinds of quantum phase transitions and criticality. We investigate several aspects of this, ranging from more condensedmatter oriented questions, tasks of quantum information processing to mathematical questions relating spatial correlations and mixing.
Selected group publications

Observation of nonMarkovian micromechanical Brownian motion
Nature Communications 6, 7606 (2015) 
LiebRobinson bounds for open quantum systems with longranged interactions
Journal of Physics A 52, 424003 (2019) 
A positive tensor network approach for simulating open quantum manybody systems
Physical Review Letters 116, 237201 (2016) 
A dissipative quantum ChurchTuring theorem
Physical Review Letters 107, 120501 (2011) 
Precisely timing dissipative quantum information processing
Physical Review Letters 110, 110501 (2013) 
Percolation, renormalisation, and quantum computing with nondeterministic gates
Physical Review Letters 100, 130501 (2007) 
Rapid mixing implies exponential decay of correlations
Journal of Mathematical Physics 54, 102201 (2013) 
The complexity of relating quantum channels to master equations
Communications of Mathematical Physics 310, 383 (2012)
Group review
 LiebRobinson bounds and the simulation of time evolution of local observables in lattice systems
L. D. Site and V. Bach (eds.), ManyElectron Approaches in Physics, Chemistry and Mathematics