4 papers
Matrix Holography on an Optical Lattice
Robin Löwenberg, Julian Sonner
We propose an analog quantum-simulation protocol based on a lattice of atomic ensembles and time-averaged Floquet dynamics to construct the four-body potentials that typically appe…
Three Hamiltonians are Sufficient for Unitary -Design in Temporal Ensemble
Yi-Neng Zhou, Tian-Gang Zhou, Julian Sonner
Unitary -designs are central to quantum information and quantum many-body physics, as they provide efficient proxies for Haar-random dynamics. We study how chaotic Hamiltonian e…
Realizing Unitary -designs with a Single Quench
Yi-Neng Zhou, Robin Löwenberg, Julian Sonner
We present a single-quench protocol that generates unitary -designs with minimal control. A system first evolves under a random Hamiltonian ; at a switch time $t_s \geq t_{…
Measuring Rényi entropy with an Echo Protocol
Yi-Neng Zhou, Robin Löwenberg, Julian Sonner
We present efficient and practical protocols to measure the second Rényi entropy, whose exponential is known as the purity. Our approach is based on expressing the purity in terms…