Lucas Hackl

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..

Towards spacetime entanglement entropy for interacting theories

Yangang Chen, Lucas Hackl, Ravi Kunjwal, Heidar Moradi, Yasaman K Yazdi, Miguel Zilhao

Journal article  |  2020  |  JOURNAL OF HIGH ENERGY PHYSICS

Entanglement entropy of quantum fields in gravitational settings is a topic of growing importance. This entropy of entanglement is..

Geometry of variational methods: dynamics of closed quantum systems

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

Journal article  |  2020  |  SCIPOST PHYSICS

We present a systematic geometric framework to study closed quantum systems based on suitably chosen variational families. For the..

Entanglement production in the dynamical Casimir effect at parametric resonance

Ivan Romualdo, Lucas Hackl, Nelson Yokomizo

Journal article  |  2019  |  PHYSICAL REVIEW D

The particles produced from the vacuum in the dynamical Casimir effect are highly entangled. In order to quantify the correlations..

Gaussian time-dependent variational principle for the Bose-Hubbard model

Tommaso Guaita, Lucas Hack, Tao Shi, Claudius Hubig, Eugene Demler, J Ignacio Cirac

Journal article  |  2019  |  PHYSICAL REVIEW B

We systematically extend Bogoliubov theory beyond the mean-field approximation of the Bose-Hubbard model in the superfluid phase. ..

Minimal energy cost of entanglement extraction

Lucas Hackl, Robert H Jonsson

Journal article  |  2019  |  QUANTUM

We compute the minimal energy cost for extracting entanglement from the ground state of a bosonic or fermionic quadratic system. S..