6 papers · 1 filter
Typical entanglement in anyon chains: Page curves beyond Lie group symmetries
Yale Yauk, Lucas Hackl, Alexander Hahn
We study bipartite entanglement statistics in one-dimensional anyon chains, whose Hilbert spaces are constrained by fusion rules of unitary pre-modular categories. Our setup genera…
Representation theory of inhomogeneous Gaussian unitaries
Jingqi Sun, Joshua Combes, Lucas Hackl
Gaussian unitaries, generated by quadratic Hamiltonians, are fundamental in quantum optics and continuous-variable computing. Their structures correspond to symplectic (bosons) and…
Random matrix prediction of average entanglement entropy in non-Abelian symmetry sectors
Anwesha Chakraborty, Lucas Hackl, Mario Kieburg
We study the average bipartite entanglement entropy of Haar-random pure states in quantum many-body systems with global symmetry, constrained to fixed total spin $…
Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble
Erik Aurell, Lucas Hackl, Mario Kieburg
We consider ensembles of pure Gaussian states parametrized by single-mode marginals and (optionally) specific mode-mode correlations. Such ensembles provide a model for the final s…
Average mutual information for random fermionic Gaussian quantum states
Lucas Hackl, Mario Kieburg, Joel Maldonado
Studying the typical entanglement entropy of a bipartite system when averaging over different ensembles of pure quantum states has been instrumental in different areas of physics,…
Typical entanglement entropy in systems with particle-number conservation
Yale Yauk, Rohit Patil, Yicheng Zhang +2
We calculate the typical bipartite entanglement entropy in systems containing indistinguishable particles of any kind as a function of the total particle num…