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Related Experiment Video

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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

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Full counting statistics in the self-dual interacting resonant level model.

Sam T Carr¹, Dmitry A Bagrets, Peter Schmitteckert

¹Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, Germany.

Physical Review Letters

|December 21, 2011

Summary

We developed a general technique for simulating charge transfer statistics in interacting impurity models. This method reveals quasiparticles carry 2e charge at low bias and e/2 at high bias.

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Area of Science:

Condensed matter physics
Quantum transport phenomena
Computational physics

Background:

Understanding charge transfer statistics is crucial for quantum transport.
Interacting impurity models present significant theoretical challenges, especially out of equilibrium.
Accurate numerical and analytical methods are needed to probe these systems.

Purpose of the Study:

To present a general technique for calculating the zero temperature cumulant generating function of full counting statistics.
To apply this technique to the self-dual interacting resonant level model.
To investigate the charge of quasiparticles involved in charge transport.

Main Methods:

Time-dependent simulations on a lattice.
Density matrix renormalization group (DMRG) for numerical simulations.
Thermodynamic Bethe ansatz for analytical calculations.

Main Results:

A general technique for simulating charge transfer statistics was successfully developed.
Excellent agreement was found between DMRG simulations and analytical results from the thermodynamic Bethe ansatz for the resonant level model.
The study revealed that quasiparticles carry a charge of 2e in the low bias regime and e/2 in the high bias regime.

Conclusions:

The presented technique provides a powerful tool for studying non-equilibrium quantum transport.
The findings on quasiparticle charge offer new insights into charge transfer mechanisms in interacting systems.
The agreement between numerical and analytical methods validates the proposed simulation technique.