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A unified framework for time-dependent transport - Inès Safi

Laboratoire de Physique des Solides - Orsay

LPS – salle S208a

We present some perturbative relations between average current and noise obtained in a general quantum system subject to periodic or non-periodic time-dependent drives [1]. The system can include a strongly correlated conductor or a Josephson junction coupled to an electromagnetic environment. Fully extending the Tien-Gordon theory for photo-assisted tunneling, those relations don’t require initial thermalization nor inversion symmetry, and have been experimentally tested in quantum circuits [2,3]. Beyond a charge current, they apply to a spin current or a voltage drop across a phase-slip Josephson junction, as confirmed by an independent theoretical work [4].

A direct application of our approach is the determination of the carrier charge in the Fractional Quantum Hall Effect, as recently implemented by C. Glattli’s group [5]. We also revisit the generation of minimal excitations in non-linear conductors.

[1] I. Safi, arxiv:1809.08290 ; arxiv :1401 :5950. B. Roussel P. Degiovanni & I. Safi, Phys. Rev. B 93, 045102 (2016). 

[2] O. Parlavecchio et al, Phys. Rev. Lett. 114, 126801 (2015).
[3] C. Altimiras et al., Phys. Rev. Lett. 112, 236803 (2014). S. Houle et al, arXiv:1706.09337. S. Jebari et al, Nature Electronics 1, 223 (2018).
[4] A. Di Marco, V. F. Maisi, J. P. Pekola, and F. W. J. Hekking, Phys. Rev. B 88, 174507 (2013).
[5] M. Kapfer et al, under consideration for Science (2018).


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