A polaritonic two-component Bose-Hubbard model

Abstract

We show that polaritons in an array of interacting micro-cavities with strong atom-photon coupling can form a two-component Bose-Hubbard model. Both polariton species are thereby protected against spontaneous emission as their atomic part is stored in two ground states of the atoms. The parameters of the effective model can be tuned via the driving strength of external lasers. We also describe a method to measure the number statistics in one cavity for each polariton species independently.

arXiv comment5 pages, 7 figures

References in corpus (23)

• Quantum nature of a strongly-coupled single quantum dot-cavity system
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Observation of Strong Coupling between One Atom and a Monolithic Microresonator
• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Ultra-high-Q toroidal microresonators for cavity quantum electrodynamics
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Phase diagram of two-component bosons on an optical lattice
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Effective spin systems in coupled micro-cavities
• Photon-photon interactions in cavity electromagnetically induced transparency
• Spin-charge separation in ultra-cold quantum gases
• Microfabricated high-finesse optical cavity with open access and small volume
• Strong photon non-linearities and photonic Mott insulators
• High efficiency photon counting using stopped light
• Atomic vapor-based high efficiency optical detectors with photon number resolution
• A Stern-Gerlach experiment for slow light
• A stable fiber-based Fabry-Perot cavity
• Two-component Bose gas in an optical lattice at single-particle filling

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• Many-body phenomena in QED-cavity arrays
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• Networks of nonlinear superconducting transmission line resonators
• Quantum phase transitions in photonic cavities with two-level systems
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Arrays of waveguide-coupled optical cavities that interact strongly with atoms
• Analytic approximations to the phase diagram of the Jaynes-Cummings-Hubbard model with application to ion chains
• Nonlinear properties and stabilities of polaritonic crystals beyond the low-excitation-density limit
• Quantum phase transition of nonlinear light in the finite size Dicke Hamiltonian
• Exact $k$-body representation of the Jaynes-Cummings interaction in the dressed basis: Insight into many-body phenomena with light
• Master equation approach for interacting slow- and stationary-light polaritons
• Photonic analogue of Josephson effect in a dual-species optical-lattice cavity
• Fermionized photons in the ground state of one-dimensional coupled cavities
• Probing the BCS-BEC crossover with photons in a nonlinear optical fiber
• Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
• Many Body Physics with Coupled Transmission Line Resonators
• Quantum interferometry for rotation sensing in an optical microresonator
• The dynamics of a polariton dimer in a disordered coupled array of cavities