206 citations · 1.4k across the 32 of their papers we have counts for
9 papers · 1 filter
Long-distance entanglement of purification and reflected entropy in conformal field theory
Hugo A. Camargo, Lucas Hackl, Michal P. Heller +2
Quantifying entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy is a new and challenging subject. In this work, w…
Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
Hugo A. Camargo, Lucas Hackl, Michal P. Heller +3
Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such puri…
Towards Spacetime Entanglement Entropy for Interacting Theories
Yangang Chen, Lucas Hackl, Ravi Kunjwal +3
Entanglement entropy of quantum fields in gravitational settings is a topic of growing importance. This entropy of entanglement is conventionally computed relative to Cauchy hypers…
Complexity and entanglement for thermofield double states
Shira Chapman, Jens Eisert, Lucas Hackl +4
Motivated by holographic complexity proposals as novel probes of black hole spacetimes, we explore circuit complexity for thermofield double (TFD) states in free scalar quantum fie…
Circuit complexity for free fermions
Lucas Hackl, Robert C. Myers
We study circuit complexity for free fermionic field theories and Gaussian states. Our definition of circuit complexity is based on the notion of geodesic distance on the Lie group…
Entanglement production in bosonic systems: Linear and logarithmic growth
Lucas Hackl, Eugenio Bianchi, Ranjan Modak +1
We study the time evolution of the entanglement entropy in bosonic systems with time-independent, or time-periodic, Hamiltonians. In the first part, we focus on quadratic Hamiltoni…
Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
Eugenio Bianchi, Lucas Hackl, Nelson Yokomizo
The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate given by the sum of all positive Lyapunov exp…
Entanglement entropy of squeezed vacua on a lattice
Eugenio Bianchi, Lucas Hackl, Nelson Yokomizo
We derive a formula for the entanglement entropy of squeezed states on a lattice in terms of the complex structure J. The analysis involves the identification of squeezed states wi…
Horizon complementarity in elliptic de Sitter space
Lucas Hackl, Yasha Neiman
We study a quantum field in elliptic de Sitter space dS_4/Z_2 - the spacetime obtained from identifying antipodal points in dS_4. We find that the operator algebra and Hilbert spac…