Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays

By D. Angelakis, Marcelo F. Santos, Sougato Bose. 2006

426 citations recorded by the source corpus.

We propose a physical system where photons could exhibit strongly correlated effects. We demonstrate how a Mott-insulator phase of atom-photon excitations (polaritons) can arise in an array of individually addressable coupled electromagnetic cavities when each of these cavities is coupled resonantly to a single two-level system (atom, quantum dot, or Cooper pair). This Mott phase is characterized by the same integral number of net polaritonic excitations with photon blockade providing the required repulsion between the excitations in each site. Detuning the atomic and photonic frequencies suppresses this effect and induces a transition to a photonic superfluid. Finally, on resonance the system can straightforwardly simulate the dynamics of many-body spin systems.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/a03320b50e106defe1b9568da9ceefb0e50dc075

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum Simulation (2013, background): “Such an array could be realized, for example, with atoms in optical lattices (Greiner and Fölling, 2008), atoms in arrays of cavities (Angelakis et al., 2007; Brandao et al., 2007; Greentree et al., 2006; Hartmann et al., 2006), ions either in microtrap arrays (Chiaverini and Lybarger, 2008; Clark e”
Keldysh field theory for driven open quantum systems (2015, background): “These models can even be brought into the correlation dominated regime [24, 132, 133, 141].”
Geometry of quantum phase transitions (2019, neutral): “Examples of suitable experimental platforms for the implementation and simulation of such an open many-body framework range from ultra-cold atoms in optical lattices [124, 364], to ion traps [365, 366], to cavity microarrays [367, 368, 369, 370, 371, 372, 143] and Rydberg atoms [373, 374].”
Quantum many‐body phenomena in coupled cavity arrays (2008, background): “This research was initiated in [21] and shortly after in [22,23] (see also [24]).”
Quantum matter built from nanoscopic lattices of atoms and photons (2018, background): “…quantum gases, the question emerged as to whether such a “Jaynes-Cummings-Hubbard”model would be capable of realizing phase transitions or other nontrivial many-body phenomena involving photons (Greentree et al., 2006; Hartmann, Brandao, and Plenio, 2006; Angelakis, Santos, and Bose, 2007).”
Exciton-polaritons in lattices: A non-linear photonic simulator (2016, background): “Expected phenomena are the single photon blockade [110], photon crystallisation [111,112], X–Y models [113] or the photonic analogue of the insulator–superfluid phase transition [114,115].”
Topological photonics (2018, background): “…so as to obtain complex strongly correlated manyphoton states started attracting the interest of researchers in the mid-2000s with several proposals for how to realize Mottinsulator states of light (Greentree et al., 2006; Hartmann, Brandão, and Plenio, 2006; Angelakis, Santos, and Bose, 2007).”