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• W2893008775 abstract "We propose two experimental setups for fermionic atoms in a high-finesse optical resonator in which either a superconducting state with $s$-wave symmetry of the pairs or a $4{k}_{F}$ charge-density wave can self-organize. In order to stabilize the $s$-wave pairing, a two component attractively interacting fermionic gas is confined to a one-dimensional chain structure by an optical lattice. The tunneling of the atoms along the chains is suppressed initially by an energy offset between neighboring sites. A Raman transition using the cavity mode and a transversal pump laser then reintroduces a cavity-assisted tunneling. The feedback mechanism between the cavity field and the atoms leads to a spontaneous occupation of the cavity field and of a state of the fermionic atoms which is dominated by $s$-wave pairing correlations. Extending the setup to a quasi-one-dimensional ladder structure where the tunneling of atoms along the rungs of the ladder is cavity assisted, the repulsively interacting fermionic atoms self-organize into a $4{k}_{F}$ charge-density wave. We use adiabatic elimination of the cavity field combined with state-of-the-art density-matrix renormalization-group methods in finite systems in order to identify the steady-state phases of the system." @default.
• W2893008775 created "2018-10-05" @default.
• W2893008775 creator A5049972307 @default.
• W2893008775 creator A5065814283 @default.
• W2893008775 date "2019-05-21" @default.
• W2893008775 modified "2023-10-16" @default.
• W2893008775 title "Cavity-induced superconducting and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mn>4</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi>F</mml:mi></mml:msub></mml:mrow></mml:math> charge-density-wave states" @default.
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• W2893008775 doi "https://doi.org/10.1103/physreva.99.053611" @default.
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