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

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

doi:10.1103/PhysRevLett.125.010404

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 language	English
Article number	010404
Number of pages	6
Journal	Physical Review Letters
Volume	125
Issue number	1
Early online date	2 Jul 2020
DOIs	https://doi.org/10.1103/PhysRevLett.125.010404
Publication status	Published - 3 Jul 2020

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10.1103/PhysRevLett.125.010404

Rylands-2020-Periels-mm-cQED-PRL-AAM
Copyright © 2020 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevLett.125.010404
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title = "Photon-mediated Peierls transition of a 1D Gas in a multimode optical cavity",

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.",

author = "Colin Rylands and Yudan Guo and Lev, {Benjamin L.} and Jonathan Keeling and Victor Galitski",

note = "Funding: 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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doi = "10.1103/PhysRevLett.125.010404",

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AU - Rylands, Colin

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AU - Lev, Benjamin L.

AU - Keeling, Jonathan

AU - Galitski, Victor

N1 - Funding: 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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N2 - 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.

AB - 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.

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

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