Lucas Hackl

Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model

Philipp Frey, Lucas Hackl, Stephan Rachel

Journal article  |  2022  |  PHYSICAL REVIEW B

We study Hilbert space fragmentation in the extended Fermi-Hubbard model with nearest- and next-nearest-neighbor interactions. Usi..

Volume-Law Entanglement Entropy of Typical Pure Quantum States

Eugenio Bianchi, Lucas Hackl, Mario Kieburg, Marcos Rigol, Lev Vidmar

Journal article  |  2022  |  PRX QUANTUM

The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians has recently been conjectured to b..

Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states

Giacomo De Palma, Lucas Hackl

Journal article  |  2022  |  SciPost Physics

We prove that the entanglement entropy of any pure initial state of a bipartite bosonic quantum system grows linearly in time with..

Long Distance Entanglement of Purification and Reflected Entropy in Conformal Field Theory

Hugo A Camargo, Lucas Hackl, Michal P Heller, Alexander Jahn, Bennet Windt

Journal article  |  2021  |  PHYSICAL REVIEW LETTERS

Quantifying entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy..

Bosonic and fermionic Gaussian states from Kähler structures

Lucas Hackl, Eugenio Bianchi

Journal article  |  2021  |  SciPost Physics Core

We show that bosonic and fermionic Gaussian states (also known as ``squeezed coherent states’’) can be uniquely characterized by t..

Page curve for fermionic Gaussian states

Eugenio Bianchi, Lucas Hackl, Mario Kieburg

Journal article  |  2021  |  PHYSICAL REVIEW B

In a seminal paper, Page found the exact formula for the average entanglement entropy for a pure random state. We consider the ana..

Entanglement dualities in supersymmetry

Robert H Jonsson, Lucas Hackl, Krishanu Roychowdhury

Journal article  |  2021  |  PHYSICAL REVIEW RESEARCH

We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamil..

Generalization of group-theoretic coherent states for variational calculations

Tommaso Guaita, Lucas Hackl, Tao Shi, Eugene Demler, J Ignacio Cirac

Journal article  |  2021  |  PHYSICAL REVIEW RESEARCH

We introduce families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coher..

Entanglement and complexity of purification in (1 1)-dimensional free conformal field theories

Hugo A Camargo, Lucas Hackl, Michal P Heller, Alexander Jahn, Tadashi Takayanagi, Bennet Windt

Journal article  |  2021  |  Physical Review Research

Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is neces..

Local optimization on pure Gaussian state manifolds

Bennet Windt, Alexander Jahn, Jens Eisert, Lucas Hackl

Journal article  |  2021  |  SCIPOST PHYSICS

We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorith..