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Quantum optics of many-body systems : Quantum optical lattices and weak measurements for ultracold bosons and fermions

Igor Mekhov


Parc Club bât 18-20, RDC

We show that introducing the quantumness of light into ultracold gas problems significantly enriches many-body physics. We prove that the quantum backaction of weak global measurement constitutes a novel source of competitions in many-body systems (in addition to standard short-range tunnelling and interactions in lattices) [1-3]. This leads to novel dynamical effects : multimode oscillations of macroscopic superposition states, nonlocal non-Hermitian Zeno dynamics, long-range correlated pair tunnelling, protection and break-up of fermion pairs [1], as well as creation of antiferromagnetic states [2-3]. Here, the quantum measurements play a very different role from the dissipation in open driven systems. We demonstrate the generation of multipartite mode entanglement in this system [4]. Moreover, quantization of optical lattice potentials (via cavity QED effects) enables quantum simulations of various long-range interacting systems unobtainable using classical optical lattices [5]. It leads to new quantum phases (dimers, trimers, etc. of matter waves similar to valence bond solids) beyond density orders (e.g. supersolids and density waves) directly benefiting from the collective light-matter interaction. Our approaches can be generalized to the arrays of other quantum emitters, e.g., superconducting qubits and excitons.
[1] G. Mazzucchi, W. Kozlowski, S. Caballero-Benitez, T. Elliott, and I. B. Mekhov, Phys. Rev. A 93, 023632 (2016) ; [2] G. Mazzucchi, S. F. Caballero-Benitez, and I. B. Mekhov, Scientific Rep. 6, 31196 (2016) ; [3] G. Mazzucchi, S. F. Caballero-Benitez, D. A. Ivanov, and I. B. Mekhov, Optica (OSA), 3 1213 (2016) ; [4] T. J. Elliott, W. Kozlowski, S. Caballero-Benitez, I. B. Mekhov, Phys. Rev. Lett. 114, 113604 (2015) ; [5] S. F. Caballero-Benitez and I. B. Mekhov, Phys. Rev. Lett. 115, 243604 (2015).

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