Photon-mediated Peierls transition of a 1D Gas in a multimode optical cavity
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The Peierls instability toward a charge density wave is a canonical example of phonon-driven strongly correlated physics and is intimately related to topological quantum matter and exotic superconductivity. We propose a method for realizing an analogous photon-mediated Peierls transition, using a system of one-dimensional tubes of interacting Bose or Fermi atoms trapped inside a multimode confocal cavity. Pumping the cavity transversely engineers a cavity-mediated metal-to-insulator transition in the atomic system. For strongly interacting bosons in the Tonks-Girardeau limit, this transition can be understood (through fermionization) as being the Peierls instability. We extend the calculation to finite values of the interaction strength and derive analytic expressions for both the cavity field and mass gap. They display nontrivial power law dependence on the dimensionless matter-light coupling.
Rylands , C , Guo , Y , Lev , B L , Keeling , J & Galitski , V 2020 , ' Photon-mediated Peierls transition of a 1D Gas in a multimode optical cavity ' , Physical Review Letters , vol. 125 , no. 1 , 010404 . https://doi.org/10.1103/PhysRevLett.125.010404
Physical Review Letters
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DescriptionFunding: This work was supported by the NSF DMR-1613029(V.G.), US-ARO contracts W911NF1310172 (V.G.) and W911NF1910262 (B.L.), DARPA DRINQS program (C.R. & V.G.), DOE-BES award DESC0001911 (V.G.),and the Simons Foundation (V.G.). Y.G. acknowledges funding from the Stanford Q-FARM Graduate Student Fellowship.
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