Quantum physicist
- President of the Austrian Academy of Sciences
- Member of the U.S. National Academy of Sciences
- Micius Quantum Prize of the Micius Quantum Foundation, China 2019
- Grand Decoration of Honour in Gold for Services to the Republic of Austria
- Fellow of the American Association for the Advancement of Science (AAAS), 2012
- Inaugural Isaac Newton Medal, Institute of Physics 2008
- Austrian Scientist of the Year, 1996