206 citations · 1.4k across the 32 of their papers we have counts for
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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…
Average pure-state entanglement entropy in spin systems with SU(2) symmetry
Rohit Patil, Lucas Hackl, George R. Fagan +1
We study the effect that the SU(2) symmetry, and the rich Hilbert space structure that it generates in lattice spin systems, has on the average entanglement entropy of highly excit…
Volume-law entanglement entropy of typical pure quantum states
Eugenio Bianchi, Lucas Hackl, Mario Kieburg +2
The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians has been recently conjectured to be a diagnostic of quantum chaos and integrability.…
Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states
Giacomo De Palma, Lucas Hackl
We prove that the entanglement entropy of any pure initial state of a bipartite bosonic quantum system grows linearly in time with respect to the dynamics induced by any unstable q…
Experimental proposal to probe the extended Pauli principle
Lucas Hackl, Dayang Li, Nika Akopian +1
All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions…
Entanglement dualities in supersymmetry
Robert H. Jonsson, Lucas Hackl, Krishanu Roychowdhury
We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians. For this, we construct canonical identifi…