206 citations · 1.4k across the 32 of their papers we have counts for
4 papers · 2 filters
Generalization of group-theoretic coherent states for variational calculations
Tommaso Guaita, Lucas Hackl, Tao Shi +2
We introduce new families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We do this by constructing unitari…
Bosonic and fermionic Gaussian states from Kähler structures
Lucas Hackl, Eugenio Bianchi
We show that bosonic and fermionic Gaussian states (also known as "squeezed coherent states") can be uniquely characterized by their linear complex structure which is a linear…
Local optimization on pure Gaussian state manifolds
Bennet Windt, Alexander Jahn, Jens Eisert +1
We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary functions on these famili…
Geometry of variational methods: dynamics of closed quantum systems
Lucas Hackl, Tommaso Guaita, Tao Shi +3
We present a systematic geometric framework to study closed quantum systems based on suitably chosen variational families. For the purpose of (A) real time evolution, (B) excitatio…