Welcome to my website
My name is Lucas Fabian Hackl and I am an MPHQ Fellow at the Max Planck Harvard Research Center for Quantum Optics in the Theory Division led by Ignacio Cirac. My research program focuses on understanding questions about quantum matter and spacetime using tools from quantum information theory, Lie groups and differential geometry.
I completed my PhD under the supervision of Eugenio Bianchi at the Institute for Gravitation and the Cosmos of the Pennsylvania State University. I completed my Master’s at the Perimeter Institute, after which I was a teaching fellow at the African Institute for Mathematical Sciences in Sénégal and interned with the Global Public Policy Institute (GPPi) in Berlin. Beside my academic interests I have been involved in social projects, public policy, science policy and video productions.
On this website, you can learn more about me (including CV) and what I am working on: You can find information on my activities, my research and my teaching experience. Feel free to contact me if you are interested in my work.
Learn more about my fields of interest:
» Mathematical Physics
- Geometry of variational manifolds and generalized Gaussian states
As an MPHQ Fellow, I am working with Ignacio Cirac on the geometry of variational manifolds with focus on generalized Gaussian states. - Circuit complexity in quantum field theory (arXiv:1803.10638, arXiv:1810.05151)
As Visiting Graduate Fellow at Perimeter Institute, I am interested in understanding complexity of circuits and states in quantum field theory. - Entanglement production (arXiv:1709.00427, arXiv:1710.04279)
My main PhD project focused on the time evolution of the entanglement entropy in bosonic systems. I found a novel relationship between entanglement and chaos: the entanglement entropy in classically unstable systems grows linearly with a rate given by a sum over the Lyapunov exponents of the system. - Entanglement typicality (arXiv:1703.02979, 1808.08963)
In the study of quantum matter, I investigated simple translationally invariant fermion models and showed that the entanglement entropy of typical energy eigenstates dramatically differs from typical states in the Hilbert space. - Bosonic and fermionic Gaussian states from Kähler structures
In the context of studying entanglement in various systems, I developed unifying mathematical framework that is particularly suitable to study entanglement and time evolution of bosonic and fermion Gaussian states. It uses a triple of mathematical objects known from Kähler geometry (metric, symplectic form and linear complex structure). - Semi-classical quantum geometries (arXiv:1605.05356, arXiv:1609.02219)
In quantum gravity, I developed methods to describe quantum geometries with spacetime correlations that match the semi-classical limit studied in perturbative quantum gravity. The area law of the entanglement entropy plays an important role. - Entanglement in quantum fields on a lattice (arXiv:1507.01567, arXiv:1512.08959)
During my second year, I worked on entanglement in quantum field theory on a lattice and introduced the notion of entanglement time. - Horizon complimentarity (arXiv:1409.6753)
During my first year at Penn State I looked at horizon complimentarity in elliptic de Sitter space where we performed an observer dependent quantization and provided a translation recipe. - Shape dynamics
For my Master’s thesis, I was working on shape dynamics, a reformulation of general relativity. - Amplitudes in massless QCD (arXiv:1206.2381)
For my Bachelor’s thesis I worked with analytic expressions for tree-level amplitudes in massless QCD and their efficient implementation. - Tensorial spacetime geometries
During an internship at the Max Planck Institute for Gravitational Physics I worked on new spacetime geometries.
» Public Policy
- Since January 2017, I am appointed member of the APS Committee on the International Freedom of Scientists.
- Since January 2015, I am the student delegate from the American Physical Society to the AAAS Science and Human Rights Coalition.
- In summer 2013, I did an internship at the Global Public Policy Institute in Berlin conducting a study on vocational training in fragile contexts.
- During my Bachelor’s, I was involved with Common Future, a political think tank lobbying for progressive climate policy.
» Media
- In 2013, I lead the production of a promotion video for AIMS Sénégal, the institute where I tutored Master students in physics and mathematics.
- During my Master’s, I produced the graduation movie that documents our experiences over 10 months of extensive study.
- During my Bachelor’s, I created the layout for the Common Future South-North Journal and a conference portfolio.