4 papers · 1 filter
Average eigenstate entanglement entropy of the XY chain in a transverse field and its universality for translationally invariant quadratic fermionic models
Lucas Hackl, Lev Vidmar, Marcos Rigol +1
We recently showed [Phys. Rev. Lett. 121, 220602 (2018)] that the average bipartite entanglement entropy of all energy eigenstates of the quantum Ising chain exhibits a universal (…
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…
Volume Law and Quantum Criticality in the Entanglement Entropy of Excited Eigenstates of the Quantum Ising Model
Lev Vidmar, Lucas Hackl, Eugenio Bianchi +1
Much has been learned about universal properties of entanglement entropies in ground states of quantum many-body lattice systems. Here we unveil universal properties of the average…
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…