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dc.contributor.authorSchiulaz, Mauro
dc.contributor.authorTavora, Marco
dc.contributor.authorSantos, Lea F.
dc.identifier.citationSchiulaz, M., Tavora, M., and Santos, L.F. From few- to many-body quantum systems. Quantum Science and Technology 3(4), 044006.en_US
dc.description.abstractHow many particles are necessary to make a quantum system many-body? To answer this question, we take as reference for the many-body limit a quantum system at half-filling and compare its properties with those of a system with N particles, gradually increasing N from 1. We show that convergence for the static properties of the system with few particles to the many-body limit is fast. For $N\gtrsim 4$, the density of states is already very close to Gaussian and signatures of many-body quantum chaos, such as level repulsion and fully extended eigenstates, become evident. The dynamics, on the other hand, depend on the initial state and time scale. In dilute systems, as the particles move away from each other, the entropy growth changes in time from linear, as typical for many-body systems, to logarithmic.en_US
dc.description.sponsorshipThis work was funded by the American National Science Foundation (NSF) Grant No. DMR-1603418en_US
dc.publisherIOP Publishingen_US
dc.relation.ispartofseriesQuantum Science and Technology;3
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectmany-body quantum systemsen_US
dc.subjectquantum chaosen_US
dc.subjectfew-body quantum systemsen_US
dc.subjectquantum spin chainsen_US
dc.titleFrom few- to many-body quantum systems.en_US

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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States