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In this work, we systematically study several paradigmatic three dimensional structured baths with qualitative differences in their bath spectral density. We discover non-Markovian individual and collective effects absent in simplified descriptions, such as perfect subradiant states or long-range anisotropic interactions. Furthermore, we show how to implement these models using only cold atoms in state-dependent optical lattices and show how this unconventional dynamics can be observed with these systems.<\/jats:p>","DOI":"10.22331\/q-2018-10-01-97","type":"journal-article","created":{"date-parts":[[2018,10,1]],"date-time":"2018-10-01T01:17:25Z","timestamp":1538356645000},"page":"97","source":"Crossref","is-referenced-by-count":35,"title":["Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices"],"prefix":"10.22331","volume":"2","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2307-6967","authenticated-orcid":false,"given":"A.","family":"Gonz\u00e1lez-Tudela","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik Hans-Kopfermann-Str. 1. 85748 Garching, Germany"},{"name":"Instituto de F\u00edsica Fundamental IFF-CSIC, Calle Serrano 113b, Madrid 28006, Spain."}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3359-1743","authenticated-orcid":false,"given":"J. 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