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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Dephasing by electron–electron interactions in a ballistic Mach–Zehnder interferometer

Focus on Quantum Dissipation in Unconventional Environments

Clemens Neuenhahn and Florian Marquardt

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Part of Focus on Quantum Dissipation in Unconventional Environments

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.


PACS

73.43.-f Quantum Hall effects

03.65.Vf Phases: geometric; dynamic or topological

Subjects

Surfaces, interfaces and thin films

Quantum information and quantum mechanics

Dates

Issue 11 (November 2008)

Received 18 June 2008

Published 20 November 2008



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