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Luttinger liquid of photons and spin-charge separation in hollow-core fibers

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PRL-106-15-153601.pdf(1.66 MB)
Date
2011
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Kwek, Leong Chuan
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In this work we show that light-matter excitations (polaritons) generated inside a hollow-core onedimensional fiber filled with two types of atoms, can exhibit Luttinger liquid behavior. We first explain how to prepare and drive this quantum-optical system to a strongly interacting regime, described by a bosonic two-component Lieb-Liniger model. Utilizing the connection between strongly interacting bosonic and fermionic systems, we then show how spin-charge separation could be observed by probing the correlations in the polaritons. This is performed by first mapping the polaritons to propagating photon pulses and then measuring the effective photonic spin and charge densities and velocities by analyzing the correlations in the emitted photon spectrum. The necessary regime of interactions is achievable with current quantum-optical technology.
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Angelakis, D. G., Huo, M., Kyoseva, E., & Kwek, L. C. (2011). Luttinger liquid of photons and spin-charge separation in hollow-core fibers. Physical Review Letters, 106(15), Article 153601. https://doi.org/10.1103/physrevlett.106.153601
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https://hdl.handle.net/10497/17335
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