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We study the evolution of a single-electron packet of Lorentzian shape along an edge of the integer quantum Hall regime or in a Mach-Zehnder interferometer, considering a capacitive Coulomb interaction and using a bosonization approach.…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Soo-Yong Lee , Hyun-Woo Lee , H. -S. Sim

The recent development of dynamic single-electron sources makes it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Janne Kotilahti , Pablo Burset , Michael Moskalets , Christian Flindt

We study Coulomb interactions in the finite bias response of Mach-Zehnder interferometers, which exploit copropagating edge states in the integer quantum Hall effect. Here, interactions are particularly important since the coherent coupling…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Luca Chirolli , Fabio Taddei , Rosario Fazio , Vittorio Giovannetti

We investigate an electronic Mach-Zehnder interferometer with high visibility in the quantum Hall regime. The superposition of the electrostatic potentials from a quantum point contact (QPC) and the residual disorder potential from doping…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 L. V. Litvin , A. Helzel , H. -P. Tranitz , W. Wegscheider , C. Strunk

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…

We study theoretically electronic Mach-Zehnder interferometers built from integer quantum Hall edge states, showing that the results of recent experiments can be understood in terms of multiparticle interference effects. These experiments…

Strongly Correlated Electrons · Physics 2010-05-27 D. L. Kovrizhin , J. T. Chalker

We use an electronic Mach-Zehnder interferometer to explore the non-equilibrium coherence of the electron waves within the edge-states that form in the integral quantum Hall effect. The visibility of the interference as a function of…

Mesoscale and Nanoscale Physics · Physics 2014-01-03 E. Bieri , M. Weiss , O. Goktas , M. Hauser , S. Csonka , S. Oberholzer , C. Schonenberger

We develop a theoretical description of a Mach-Zehnder interferometer built from integer quantum Hall edge states, with an emphasis on how electron-electron interactions produce decoherence. We calculate the visibility of interference…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 J. T. Chalker , Yuval Gefen , M. Y. Veillette

Electronic interferometers have been identified as possible candidates for building electronic flying qubits. Such a regime requires ultrafast voltage pulses whose duration is shorter than the time of flight through the device.…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Prasoon Kumar , Thomas Kloss , Xavier Waintal

We use a Mach-Zehnder quantum Hall interferometer of a novel design to investigate the interference effects at fractional filling factors. Our device brings together the advantages of usual Mach-Zehnder and Fabry-Perot quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 E. V. Deviatov , S. V. Egorov , G. Biasiol , L. Sorba

We address the recently-observed unexpected behavior of Aharonov-Bohm oscillations in the electronic Mach-Zehnder interferometer that was realized experimentally in a quantum Hall system [1]. We argue that the measured lobe structure in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eugene V. Sukhorukov , Vadim V. Cheianov

We experimentally realize quantum Hall Mach-Zehnder interferometer which operates far beyond the equilibrium. The operation of the interferometer is based on allowed intra-edge elastic transitions within the same Landau sublevel in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. V. Deviatov , A. Ganczarczyk , A. Lorke , G. Biasiol , L. Sorba

We study the wave-particle duality in a general Mach-Zehnder interferometer with an asymmetric beam splitter from the viewpoint of quantum information theory. The correlations(including the classical correlation and the quantum correlation)…

Quantum Physics · Physics 2022-11-09 Yanjun Liu , Meiya Wang , Zhongcheng Xiang , Haibin Wu

We consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of…

Mesoscale and Nanoscale Physics · Physics 2007-08-15 Vadim V. Ponomarenko , Dmitri V. Averin

We consider theoretically an electronic Mach-Zehnder interferometer constructed from quantum Hall edge channels and quantum point contacts, fed with single electrons from a dynamic quantum dot source. By considering the energy dependence of…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Clarissa J. Barratt , Sungguen Ryu , Lewis A. Clark , H. -S. Sim , Masaya Kataoka , Clive Emary

Inter-channel Coulomb interaction mixes charge excitations in copropagating quantum Hall edge channels, generating coupled excitation eigenmodes propagating at different speeds. This mode transformation causes an electron state to split…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Takase Shimizu , Eiki Iyoda , Satoshi Sasaki , Akira Endo , Shingo Katsumoto , Norio Kumada , Masayuki Hashisaka

We study nonequilibrium properties of an electronic Mach-Zehnder interferometer built from integer quantum Hall edge states at filling fraction $\nu{=}1$. For a model in which electrons interact only when they are inside the interferometer,…

Mesoscale and Nanoscale Physics · Physics 2009-10-27 D. L. Kovrizhin , J. T. Chalker

A one-dimensional waveguide enables a single two-level emitter to route the propagation of a single photon, as to provide a quantum mirror or a quantum beamsplitter. Here we present a fully-quantum Mach-Zehnder interferometer (QMZ) for…

Quantum Physics · Physics 2019-11-12 Nelson Almeida , Thiago Werlang , Daniel Valente

We have studied theoretically the tunneling between two edges of Quantum Hall liquids (QHL) of different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two separate point contacts in the geometry of…

Strongly Correlated Electrons · Physics 2010-05-11 Vadim V. Ponomarenko , Dmitri V. Averin

We develop a theoretical description of interaction-induced phenomena in an electronic Mach-Zehnder interferometer formed by integer quantum Hall edge states (with \nu =1 and 2 channels) out of equilibrium. Using the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Martin Schneider , Dmitry A. Bagrets , Alexander D. Mirlin
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