2013/07/12 by Jeffrey Yepez, Yepez, Jeffrey
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum many-body systems #Quantum, superfluid, helium dynamics #quant-ph
paper · pdf · doi:10.48550/arxiv.1307.3593
arxiv created 2013/07/12 · openalex publication_date 2013/07/12 · arxiv updated 2013/07/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Presented are several example quantum computing representations of quantum systems with a relativistic energy relation. Basic unitary representations of free Dirac particles and BCS superconductivity are given. Then, these are combined into a novel unitary representation of a Fermi condensate superfluid. The modeling approach employs an operator splitting method that is an analytically closed-form product decomposition of the unitary evolution operator, applied in the high-energy limit. This allows the relativistic wave equations to be cast as unitary finite-difference equations. The split evolution operators (comprising separate kinetic and interaction energy evolution terms) serve as quantum lattice gas models useful for efficient quantum simulation.