Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
arXiv:0903.2036 · doi:10.1088/1367-2630/10/11/115018
Abstract
We consider a ballistic Mach-Zehnder interferometer for electrons propagating chirally in one dimension (such as in an integer Quantum Hall effect edge channel). In such a system, dephasing occurs when the finite range of the interaction potential is taken into account. Using the tools of bosonization, we discuss the decay of coherence as a function of propagation distance and energy. We supplement the exact solution by a semiclassical approach that is physically transparent and is exact at high energies. In particular, we study in more detail the recently predicted universal power-law decay of the coherence at high energies, where the exponent does not depend on the interaction strength. In addition, we compare against Keldysh perturbation theory, which works well for small interaction strength at short propagation distances.
35 pages, 9 figures, see also C. Neuenhahn and F. Marquardt, arXiv:0806.1211 (Physical Review Letters 102, 046806 (2009))
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Cited by in corpus (13)
- Single electron quantum tomography in quantum Hall edge channels
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- Fractionalization of minimal excitations in integer quantum Hall edge channels
- Electron quantum optics as quantum signal processing
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- Measuring Which-Path Information with Coupled Electronic Mach-Zehnder Interferometers
- Interference and multi-particle effects in a Mach-Zehnder interferometer with single-particle sources
- Probing decoherence in plasmonic waveguides in the quantum regime
- Interaction-induced charge transfer in a mesoscopic electron spectrometer
- Mitigating decoherence in hot electron interferometry
- Asymmetric arms maximise visibility in hot-electron interferometers
- Monitored quantum transport: full counting statistics of a quantum Hall interferometer