Chemistry (all); Biochemistry, Genetics and Molecular Biology (all); Physics and Astronomy (all); Open systems; Hermiticity; topology
Abstract :
[en] As light can mediate interactions between atoms in a photonic environment, engineering it for endowing the photon-mediated Hamiltonian with desired features, like robustness against disorder, is crucial in quantum research. We provide general theorems on the topology of photon-mediated interactions in terms of both Hermitian and non-Hermitian topological invariants, unveiling the phenomena of topological preservation and reversal, and revealing a system-bath topological correspondence. Depending on the Hermiticity of the environment and the parity of the spatial dimension, the atomic and photonic topological invariants turn out to be equal or opposite. Consequently, the emergence of atomic and photonic topological boundary modes with opposite group velocities in two-dimensional Hermitian topological systems is established. Owing to its general applicability, our results can guide the design of topological systems.
Disciplines :
Physics
Author, co-author :
ROCCATI, Federico ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Physics and Materials Science > Team Aurélia CHENU
Bello, Miguel ; Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, Garching, 85748, Germany ; Munich Center for Quantum Science and Technology, Schellingstraße 4, 80799, München, Germany
Gong, Zongping; Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, Garching, 85748, Germany ; Munich Center for Quantum Science and Technology, Schellingstraße 4, 80799, München, Germany ; Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN, Wako-shi, Saitama, 351-0198, Japan ; Department of Applied Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan
Ueda, Masahito; Department of Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan ; RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama, 351-0198, Japan ; Institute for Physics of Intelligence, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan
Ciccarello, Francesco ; Università degli Studi di Palermo, Dipartimento di Fisica e Chimica-Emilio Segrè, via Archirafi 36, I-90123, Palermo, Italy ; NEST, Istituto Nanoscienze-CNR, Piazza S. Silvestro 12, 56127, Pisa, Italy
Carollo, Angelo ; Università degli Studi di Palermo, Dipartimento di Fisica e Chimica-Emilio Segrè, via Archirafi 36, I-90123, Palermo, Italy
CHENU, Aurélia ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
External co-authors :
yes
Language :
English
Title :
Hermitian and non-Hermitian topology from photon-mediated interactions.
We acknowledge Diego Porras and Pablo Mart\u00EDnez-Azcona for useful discussions. F.R. and A. Ch. acknowledge support from the Luxembourg National Research Fund (FNR, Attract grant 15382998). M.B. was supported by the projects FermiQP and EQUAHUMO of the Bildungsministerium f\u00FCr Bildung und Forschung (BMBF). Z.G. was supported by the Max-Planck-Harvard Research Center for Quantum Optics (MPHQ). M.B. and Z.G. acknowledge financial support from the Munich Center for Quantum Science and Technology (MCQST), funded by the Deutsche Forschungsgemeinschaft (DFG) under Germany\u2019s Excellence Strategy (EXC2111-390814868). M.U. acknowledges the support by KAKENHI Grant No. JP22H01152 from the Japan Society for the Promotion of Science. A.Ca. and F.C. acknowledge support from European Union \u2013 Next Generation EU through Project Eurostart 2022 Topological atom-photon interactions for quantum technologies (MUR D.M. 737/2021) and through Project PRIN 2022-PNRR no. P202253RLY \u201CHarnessing topological phases for quantum technologies\u201D.
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