Quantum many‐body phenomena in coupled cavity arrays

By Michael J. Hartmann, Fernando G. S. L. Brandão, Martin Bodo Plenio. 2008

391 citations recorded by the source corpus.

The increasing level of experimental control over atomic and optical systems gained in recent years has paved the way for the exploration of new physical regimes in quantum optics and atomic physics, characterised by the appearance of quantum many‐body phenomena, originally encountered only in condensed‐matter physics, and the possibility of experimentally accessing them in a more controlled manner. In this review article we survey recent theoretical studies concerning the use of cavity quantum electrodynamics to create quantum many‐body systems. Based on recent experimental progress in the fabrication of arrays of interacting micro‐cavities and on their coupling to atomic‐like structures in several different physical architectures, we review proposals on the realisation of paradigmatic many‐body models in such systems, such as the Bose‐Hubbard and the anisotropic Heisenberg models. Such arrays of coupled cavities offer interesting properties as simulators of quantum many‐body physics, including the full addressability of individual sites and the accessibility of inhomogeneous models.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/65dae72d15ec554d2fac1c0e82740a88f8cf90eb

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Maximally-localized Wannier Functions: Theory and Applications (2011, methodology): “…related to, and combines elements from both ideas developed in photonic crystals and cold atoms, WFs have also been used to represent polaritons in coupled cavity arrays, a class of systems that serves as another experimental realization of the Bose-Hubbard model (Hartmann et al., 2008, 2006).”
Quantum Simulators: Architectures and Opportunities (2019, methodology): “This will facilitate simulation of quantum spin fluid formation or Wigner crystallization, and Bose Hubbard models [63].”
Quantum simulation with interacting photons (2016, background): “This sequence has been analysed by Hartmann et al. [108] in terms of the fluctuations of the polariton number in each lattice site and by Angelakis et al. [4] for the excitation number fluctuations in a Jaynes-Cummings lattice.”
Keldysh field theory for driven open quantum systems (2015, background): “The physics of microcavity arrays is discussed in [14, 24, 134, 141], and trapped ions are treated in [17, 171].”
Driven-dissipative preparation of entangled states in cascaded quantum-optical networks (2011, background): “Such a tunable nonlinearity can be realized by a dispersive coupling of the cavity field to a suitable four-level system, which has been analyzed both for optical [48, 49] as well as superconducting microwave cavities [50].”