Quantum Magnetic Dynamics of Polarized Light in Arrays of Microcavities

Ji, An-Chun; Xie, X. C.; Liu, W. M.

doi:10.1103/physrevlett.99.183602

Cited by 176 publications

(86 citation statements)

References 26 publications

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“…Since then a substantial number of publications have extended these ideas in a variety of directions. These include photonic Mott insulators [25,26], spin models [27,28,29,30,31,32], dynamical effects [33,34,35,36,37], multi component models [38], phase diagrams [39,40,41,42,43], alternative physical realisations [44,45,46,47,48], experimental signatures [49,50] and quantum information applications [51,52,53,54,55,56]. In fact, historically, some quantum information proposals [51] were presented before the theory for effective many-body models [21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Quantum many‐body phenomena in coupled cavity arrays

Hartmann

Brandão

Plenio

2008

Laser & Photonics Reviews

458

509

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The increasing level of experimental control over atomic and optical systems gained in the past years have 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 manybody 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 BoseHubbard 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.Crystal light: Photons (yellow) that ordinarily move freely through an array of cavities (top) might be frozen in place by their mutual repulsion (bottom). Such repulsion can be induced by laser pumping of suitable atoms (red) placed in the cavities.

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Section: Introductionmentioning

confidence: 99%

Quantum many‐body phenomena in coupled cavity arrays

Hartmann

Brandão

Plenio

2008

Laser & Photonics Reviews

458

509

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“…Two laser beams with properly chosen frequencies and polarizations create the JC couplings between the V-type level structure and the two radial x and y phonon species. on different lattice sites become coupled by Heisenberg exchange interaction [16,17].…”

Section: Introductionmentioning

confidence: 99%

Quantum simulation of superexchange magnetism in linear ion crystals

et al. 2014

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We present a system for the simulation of Heisenberg models with spins s = 1 2 and s = 1 with a linear crystal of trapped ions. We show that the laser-ion interaction induces a Jaynes-Cummings-Hubbard interaction between the atomic V-type level structure and the two phonon species. In the strong-coupling regime the collective atom and phonon excitations become localized at each lattice site and form an effective spin system with varying length. We show that the quantum-mechanical superexchange interaction caused by the second-order phonon hopping processes creates a Heisenberg-type coupling between the individual spins. Trapped ions allow to control the superexchange interactions by adjusting the trapping frequencies, the laser intensity, and the detuning.

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“…Other quantities (like electric field and ionized traps distribution), which do not fulfill this condition, are obtained from the analytical relations resulting directly from the material equations. The perturbative approach has been used in different fields, like in the solution of Maxwell's equations [13], quantum mechanics [14,15], or some soliton solutions [16]. But until now, according to our knowledge, if the perturbative method was used to solve photorefractive transport equations, it was applied for all variables [17][18][19] and therefore was not suitable for interference pattern contrast close to unity.…”

Section: Introductionmentioning

confidence: 99%

New approach to solution of photorefractive transport equations

2008

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Abstract:In our work we propose a novel method of analysis of photorefractive transport equations. The method based on a perturbative approach can be used in the case of two wave mixing and four wave mixing geometry, i.e. for the samples illuminated by interference patterns. Presented approach can be employed for a broad range of material and experimental parameters, particularly for arbitrary depth of light modulation pattern. The approximate analytical solution is compared with results of numerical calculations and a good agreement practically in every case was found. PACS

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Quantum Magnetic Dynamics of Polarized Light in Arrays of Microcavities

Cited by 176 publications

References 26 publications

Quantum many‐body phenomena in coupled cavity arrays

Quantum many‐body phenomena in coupled cavity arrays

Quantum simulation of superexchange magnetism in linear ion crystals

New approach to solution of photorefractive transport equations

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