Quantum emitters coupled to structured photonic reservoirs experience unconventional individual and collective dynamics emerging from the interplay between dimensionality and non-trivial photon energy dispersions. 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.
quantized light and matter. It captures many relevant phenomena such as the
spontaneous emission of optically excited states. In the simplest scenario,
that is, when the photon timescales are much faster than the emitters ones,
their dynamics can be obtained within a perturbative (Markovian)
description, for example predicting an exponential decay of the emitter
Recent experimental advances in the integration of quantum emitters with
nanophotonic structures, in circuit QED, or in the simulation of quantum
optical phenomena with matter waves provide us with systems where these
perturbative descriptions break and novel non-Markovian phenomena emerge.
In our manuscript, we focus on the implementation of several structured 3D
environments with matter waves and show how new type of dynamics and
interactions emerge from the interplay between the dimensionality and
photon energy dispersion.
 E. Vetsch, D. Reitz, G. Sagué, R. Schmidt, S. T. Dawkins, and A. Rauschenbeutel, Phys. Rev. Lett. 104, 203603 (2010).
 A. Goban, C.-L. Hung, S.-P. Yu, J. Hood, J. Muniz, J. Lee, M. Martin, A. McClung, K. Choi, D. Chang, O. Painter, and H. Kimblemblrm, Nat. Commun. 5, 3808 (2014).
 J.-B. Béguin, E. M. Bookjans, S. L. Christensen, H. L. Sørensen, J. H. Müller, E. S. Polzik, and J. Appel, Phys. Rev. Lett. 113, 263603 (2014).
 A. Sipahigil, R. E. Evans, D. D. Sukachev, M. J. Burek, J. Borregaard, M. K. Bhaskar, C. T. Nguyen, J. L. Pacheco, H. A. Atikian, C. Meuwly, R. M. Camacho, F. Jelezko, E. Bielejec, H. Park, M. Lončar, and M. D. Lukin, Science 354, 847 (2016).
 N. V. Corzo, B. Gouraud, A. Chandra, A. Goban, A. S. Sheremet, D. V. Kupriyanov, and J. Laurat, Phys. Rev. Lett. 117, 133603 (2016).
 H. L. Sørensen, J.-B. Béguin, K. W. Kluge, I. Iakoupov, A. S. Sørensen, J. H. Müller, E. S. Polzik, and J. Appel, Phys. Rev. Lett. 117, 133604 (2016).
 V. P. Bykov, Soviet Journal of Quantum Electronics 4, 861 (1975).
 A. González-Tudela and J. I. Cirac, Phys. Rev. Lett. 119, 143602 (2017a).
 E. Shahmoon, D. S. Wild, M. D. Lukin, and S. F. Yelin, Phys. Rev. Lett. 118, 113601 (2017).
 J. Perczel, J. Borregaard, D. E. Chang, H. Pichler, S. F. Yelin, P. Zoller, and M. D. Lukin, Phys. Rev. Lett. 119, 023603 (2017).
 P. Longo, P. Schmitteckert, and K. Busch, Phys. Rev. Lett. 104, 023602 (2010).
 G. W. Gardiner and P. Zoller, Quantum Noise, 2nd ed. (Springer-Verlag, Berlin, 2000).
 I. de Vega, D. Porras, and J. Ignacio Cirac, Phys. Rev. Lett. 101, 260404 (2008).
 C. Navarrete-Benlloch, I. de Vega, D. Porras, and J. I. Cirac, New Journal of Physics 13, 023024 (2011).
 J. D. Hood, A. Goban, A. Asenjo-Garcia, M. Lu, S.-P. Yu, D. E. Chang, and H. Kimble, Proceedings of the National Academy of Sciences 113, 10507 (2016).
 N. Ashcroft and N. D. Mermin, Solid State Physics, Books/Cole Cengage Learning (Inc, 1976).
 C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, and P. Thickstun, Atom-photon interactions: basic processes and applications (Wiley Online Library, 1992).
 A. J. Daley, M. M. Boyd, J. Ye, and P. Zoller, Phys. Rev. Lett. 101, 170504 (2008).
 S. Snigirev, A. J. Park, A. Heinz, S. Wissenberg, J. Dalibard, I. Bloch, and S. Blatt, in Quantum Information and Measurement (Optical Society of America, 2017) pp. QT4A–2.
 A. J. Guttmann, Journal of Physics A: Mathematical and Theoretical 43, 305205 (2010).
 M. Abramowitz, I. A. Stegun, et al., Applied mathematics series 55, 62 (1966).
 T. Ramos, H. Pichler, A. J. Daley, and P. Zoller, Phys. Rev. Lett. 113, 237203 (2014).
 Adrian Feiguin, Juan José García-Ripoll, and Alejandro González-Tudela, "Qubit-photon corner states in all dimensions", Physical Review Research 2 2, 023082 (2020).
 Alejandro González-Tudela and Fernando Galve, "Anisotropic Quantum Emitter Interactions in Two-Dimensional Photonic-Crystal Baths", ACS Photonics 6 1, 221 (2019).
 A. González-Tudela and J. I. Cirac, "Cold atoms in twisted-bilayer optical potentials", Physical Review A 100 5, 053604 (2019).
 Eduardo Sánchez-Burillo, Diego Porras, and Alejandro González-Tudela, "Limits of photon-mediated interactions in one-dimensional photonic baths", Physical Review A 102 1, 013709 (2020).
 Juan Román-Roche, Eduardo Sánchez-Burillo, and David Zueco, "Bound states in ultrastrong waveguide QED", Physical Review A 102 2, 023702 (2020).
 Michael Stewart, Joonhyuk Kwon, Alfonso Lanuza, and Dominik Schneble, "Dynamics of matter-wave quantum emitters in a structured vacuum", Physical Review Research 2 4, 043307 (2020).
 H. Z. Shen, Shuang Xu, H. T. Cui, and X. X. Yi, "Non-Markovian dynamics of a system of two-level atoms coupled to a structured environment", Physical Review A 99 3, 032101 (2019).
 A. González-Tudela, C. Sánchez Muñoz, and J. I. Cirac, "Engineering and Harnessing Giant Atoms in High-Dimensional Baths: A Proposal for Implementation with Cold Atoms", Physical Review Letters 122 20, 203603 (2019).
 Eduardo Sánchez-Burillo, Chao Wan, David Zueco, and Alejandro González-Tudela, "Chiral quantum optics in photonic sawtooth lattices", Physical Review Research 2 2, 023003 (2020).
 A. Heinz, A. J. Park, N. Šantić, J. Trautmann, S. G. Porsev, M. S. Safronova, I. Bloch, and S. Blatt, "State-Dependent Optical Lattices for the Strontium Optical Qubit", Physical Review Letters 124 20, 203201 (2020).
 Iñaki García-Elcano, Jorge Bravo-Abad, and Alejandro González-Tudela, "Light-matter interactions near photonic Weyl points", Physical Review A 103 3, 033511 (2021).
 Iñaki García-Elcano, Alejandro González-Tudela, and Jorge Bravo-Abad, "Tunable and Robust Long-Range Coherent Interactions between Quantum Emitters Mediated by Weyl Bound States", Physical Review Letters 125 16, 163602 (2020).
 T Shi, Y-H Wu, A González-Tudela, and J I Cirac, "Effective many-body Hamiltonians of qubit-photon bound states", New Journal of Physics 20 10, 105005 (2018).
 Luca Leonforte, Angelo Carollo, and Francesco Ciccarello, "Vacancy-like Dressed States in Topological Waveguide QED", Physical Review Letters 126 6, 063601 (2021).
 Iñaki Garcia-Elcano, Alejandro Gonzalez-Tudela, and Jorge Bravo-Abad, "Quantum electrodynamics of photonic Weyl points", APS March Meeting Abstracts 2019, H02.006 (2019).
The above citations are from Crossref's cited-by service (last updated successfully 2021-04-21 22:47:39) and SAO/NASA ADS (last updated successfully 2021-04-21 22:47:40). The list may be incomplete as not all publishers provide suitable and complete citation data.
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.