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quant-ph2024★ 2 cited
Representation theory of Gaussian unitary transformations for bosonic and fermionic systems
Tommaso Guaita, Lucas Hackl, Thomas Quella
Gaussian unitary transformations are generated by quadratic Hamiltonians, i.e., Hamiltonians containing quadratic terms in creations and annihilation operators, and are heavily use…
quant-ph2020
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…
quant-ph2020
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…