Photon-mediated Peierls transition of a 1D Gas in a multimode optical cavity

Colin Rylands, Yudan Guo, Benjamin L. Lev, Jonathan Keeling, Victor Galitski

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Abstract

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.
Original languageEnglish
Article number010404
Number of pages6
JournalPhysical Review Letters
Volume125
Issue number1
Early online date2 Jul 2020
DOIs
Publication statusPublished - 3 Jul 2020

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