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An analytic closed form solution is derived for the bound states of electrons subject to a static, inhomogeneous ($1/r$-decaying) magnetic field, including the Zeeman interaction. The solution provides access to many-body properties of a…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 Dominik Sidler , Vasil Rokaj , Michael Ruggenthaler , Angel Rubio

We propose a Hanbury Brown-Twiss interferometer for a $\nu=2/5$ fractional quantum Hall edge system, in which quasiparticles tunnel between two co-propagating edge modes. In contrast to the previously studied anyonic Fabry-P\'{e}rot and…

Anyonic Fabry-P\'erot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe electric charges and statistics of anyons. The experimentally observed visibility of Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2024-01-04 Navketan Batra , Zezhu Wei , Smitha Vishveshwara , D. E. Feldman

Using a new MBE growth technique, we fabricate a two-dimensional electron system which is bent around an atomically sharp 90 degree corner. In the quantum Hall regime under tilted magnetic fields, we can measure equilibration between both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Grayson , D. Schuh , M. Bichler , G. Abstreiter , L. Hoeppel , J. Smet , K. von Klitzing

We experimentally stabilise the polarisation drift between the arms of an 8 km-long fibre-optical Mach-Zehnder interferometer, while simultaneously compensating the phase fluctuations. The single photons are wavelength-multiplexed with…

Quantum Physics · Physics 2011-05-04 G. B. Xavier , T. R. da Silva , G. P. Temporao , J. P. von der Weid

We study tunneling phenomena at the edge of the anti-Pfaffian quantum Hall state at the filling factor $\nu=5/2$. The edge current in a single point-contact is considered. We focus on nonlinear behavior of two-terminal conductance with the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Toru Ito , Kentaro Nomura , Naokazu Shibata

We propose an experiment that permits observation of the de Broglie two-photon wave packet behavior for a pair of photons, using a Mach-Zehnder interferometer. It is based on the use of pulsed lasers to generate pairs of photons via…

Quantum Physics · Physics 2009-11-06 Luiz Carlos Ryff , P. H. Souto Ribeiro

We investigate theoretically the behavior of the current oscillations in an electronic Mach-Zehnder interferometer (MZI) as a function of its source bias. Recently, The MZI interference visibility showed an unexplained lobe pattern behavior…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Neder , E. Ginossar

We report on recent experimental results from transport measurements with large Hall bars made of high mobility GaAs/AlGaAs heterostructures. Thermally activated conductivities and hopping transport were investigated in the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Furlan

We propose an interferometric method to investigate the non-locality of high-dimensional two-photon orbital angular momentum states generated by spontaneous parametric down conversion. We incorporate two half-integer spiral phase plates and…

Quantum Physics · Physics 2007-05-23 A. Aiello , S. S. R. Oemrawsingh , E. R. Eliel , J. P. Woerdman

We present comprehensive results on the edge-mode velocities in a quantum Hall droplet with realistic interaction and confinement at various filling fractions. We demonstrate that the charge-mode velocity scales roughly with the valence…

Mesoscale and Nanoscale Physics · Physics 2010-10-01 Zi-Xiang Hu , E. H. Rezayi , Xin Wan , Kun Yang

The entanglement of coherently split electron-hole pairs in an electronic conductor is typically not considered accessible due to particle number conservation and fermionic super-selection rules. We demonstrate here that current…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 David Dasenbrook , Christian Flindt

We analyze charge-$e/4$ quasiparticle tunneling between the edges of a point contact in a non-Abelian model of the $\nu=5/2$ quantum Hall state. We map this problem to resonant tunneling between attractive Luttinger liquids and use the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Adrian Feiguin , Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We study and experimentally implement a double-slit quantum eraser in the presence of a controlled decoherence mechanism. A two-photon state, produced in a spontaneous parametric down conversion process, is prepared in a maximally entangled…

Quantum Physics · Physics 2015-05-14 F. A. Torres-Ruiz , G. Lima , A. Delgado , S. Pádua , C. Saavedra

Phase relaxation of electrons transferring through an electromechanical transistor is studied using the Aharonov-Bohm interferometer. With the approach of quantum master equation, the phase properties of an electron are numerically analyzed…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Wenxi Lai , Yunhui Xing , Zhongshui Ma

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We develop a theory of edge state transport in separately contacted double-layer quantum Hall systems which are tuned close to the resonance condition for tunneling between the layers. When applied to the case where contact is made to only…

Condensed Matter · Physics 2009-10-28 D. Yoshioka , A. H. MacDonald

A highly non-thermal electron distribution is generated when quantum Hall edge states originating from sources at different potentials meet at a quantum point contact. The relaxation of this distribution to a stationary form as a function…

Strongly Correlated Electrons · Physics 2012-09-12 D. L. Kovrizhin , J. T. Chalker

We present a theoretical framework for quantum-coherent nonlinear interferometry in which the nonlinear medium is modeled as active electron-phonon quantum systems rather than a passive $\chi^{(2)}$ converter. By explicitly retaining the…

Quantum Physics · Physics 2025-10-31 Junya Ogiri , Hiroaki Minamide , Kunio Ishida

Due to their high energy, hot electrons in quantum Hall edge states can be considered as single particles that have the potential to be used for quantum optics-like experiments. Unlike photons, however, electrons typically undergo…

Mesoscale and Nanoscale Physics · Physics 2020-10-20 Lewis A. Clark , Masaya Kataoka , Clive Emary
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