### Research interests

The research in our group focusses on driven open quantum matter and nonthermal quantum states in

digital and analog quantum circuits, realized in current or near future NISQ devices

ultrafast driven quantum materials such as correlated insulators (Mott- and excitonic)

ultracold Rydberg atoms subject to strong driving and strong interactions

This places our research at the interface of condensed matter, quantum optics, quantum information and statistical physics. If you are interested in our work, you may check our publications, watch a recent talk at Perimeter Institute about self-organized criticality in driven Ryberg systems or read a recent viewpoint about our work on entanglement transitions.

## Monitored Quantum Systems

Loop models for Monitored Quantum Circuits

Physical Review X 13, 041028 (2023)

We show that a large variety of entanglement transitions in monitored circuits can be understood from loop models of 2D statistical mechanics.

Measurement-Induced Entanglement Transitions

Phys. Rev. Lett. 128, 010605 (2022)

Physics 15, 2 (2022)

Phys. Rev. Lett. 126, 170602 (2021)

We identify regimes with unconventional scaling behavior of the entanglement entropy of monitored fermions.

Field Theory for Monitored Quantum Systems

Physical Review X 11, 041004 (2021)

SciPost Phys. 12, 009 (2022)

A wave function subject to unitary time evolution and exposed to measurements undergoes pure state dynamics, with deterministic unitary and probabilistic measurement-induced state updates, defining a quantum trajectory. For many-particle systems, the competition of these different elements of dynamics can give rise to a scenario similar to quantum phase transitions. We construct an n-replica Keldysh field theory for the ensemble average of the n-th moment of the trajectory projector.

## Quantum Materials Out-of-Equilibrium

Strongly driven correlated insulators

Nature Physics (2023)

Nature Communications 14, 8258 (2023)

Communications Physics 5, 35 (2022)

Phys. Rev. Lett. 125, 267602 (2020)

Strongly driven correlated insulators have the potential to exhibit exotic transient phenomena that are forbidden in thermal equilibrium. In such far-from-equilibrium regimes, nonthermal metastable states emerge, which go beyond the conventional framework of time-dependent Ginzburg-Landau descriptions. We approach such situations from the viewpoint of nonequilibrium universality and the Keldysh path integral framework.

Effects of weak disorder in Weyl materials:

Phys. Rev. Lett. 121, 215301 (2018)

Phys. Rev. B 98, 205134 (2018)

Disorder-bound quantum states in topological semimetals are fragile: their contribution to the density of states effectively vanishes in many cases when averaged over a continuous disorder distribution. This protects the integrity of the Weyl nodes against weak disorder.

## Driven Open Quantum Gases

Scale invariance without fine tuning:

Self-organized criticality and Griffiths phases in Rydberg gases

Nature Communications 12, 103 (2021)

Nature 577, 481 (2020)

Theory of emergent epidemics and self-organized criticality in driven Rydberg gases

Phys. Rev. Lett. 126, 123401 (2021)

Phys. Rev. A 99, 053616 (2019)

Phys. Rev. A 98, 062117 (2018)

Phys. Rev. Lett. 116, 245701 (2016)

The competition between strong driving and strong interactions in a gas of ultracold Rydberg atoms gives rise to nonequilibrium scenarios that are close to epidemics: phase transitions into absorbing states and self-organized criticality.

Discontinuous and continuous non-equilibrium phase transitions in dissipative Dicke setups: Phys. Rev. A 97, 023807 (2018)

Phys. Rev. A 95, 063824 (2017)

Thermalization and out-of-equilibrium dynamics of interacting Luttinger Liquids (arXiv1, arXiv2)