4 papers
Group word dynamics from local random matrix Hamiltonians and beyond
Klée Pollock, Jonathan D. Kroth, Jonathon Riddell +1
We study one dimensional quantum spin chains whose nearest neighbor interactions are random matrices that square to one. By employing free probability theory, we establish a mappin…
Quantum State Designs from Minimally Random Quantum Circuits
Jonathon Riddell, Katja Klobas, Bruno Bertini
Random many-body states are both a useful tool to model certain physical systems and an important asset for quantum computation. Realising them, however, generally requires an expo…
Rationally independent free fermions with local hopping
Jonathon Riddell, Bruno Bertini
Rationally independent free fermions are those where sums of single-particle energies multiplied by arbitrary rational coefficients vanish only if the coefficients are all zero. Th…
Structural Stability Hypothesis of Dual Unitary Quantum Chaos
Jonathon Riddell, Curt von Keyserlingk, Tomaž Prosen +1
Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic system…