Fluctuation dissipation relations for strongly correlated out-of-equilibrium circuits

Abstract

We consider strongly correlated quantum circuits where a dc drive is added on top of an initial out-of-equilibrium (OE) stationary state. Within a perturbative approach, we derive unifying OE fluctuation relations for high frequency current noise, shown to be completely determined by zero-frequency noise and dc current. We apply them to the fractional quantum Hall effect at arbitrary incompressible filling factors, driven by OE sources, without knowledge of the underlying model. We show that such OE relations provide robust methods for an unambiguous determination of the fractional charge or of key interaction parameters entering in the exploration of anyonic statistics within an anyon collider.

To be published in Physical Review B, Rapid Communications. 11 pages, including "Supplemental Material". 2 figures. Few changes; two references added

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Cited by in corpus (13)

• Fractional charge and fractional statistics in the quantum Hall effects
• General bounds on electronic shot noise in the absence of currents
• Charge, spin, and heat shot noises in the absence of average currents: Conditions on bounds at zero and finite frequencies
• Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
• Does delta-$T$ noise probe quantum statistics?
• Out-of-Equilibrium Fluctuation-Dissipation Bounds
• Evidence for correlated electron pairs and triplets in quantum Hall interferometers
• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
• Observation of edge magnetoplasmon squeezing in a quantum Hall conductor
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Quantum transport phenomena induced by time-dependent fields
• Thermodynamic and energetic constraints on transition probabilities of small-scale quantum systems
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges