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We apply time-dependent density-functional theory to study many-electron transport in Aharonov-Bohm interferometers in a non-equilibrium situation. The conductance properties in the system are complex and depend on the enclosed magnetic…

Strongly Correlated Electrons · Physics 2013-10-31 A. Salman , V. Kotimaki , A. Siddiki , E. Rasanen

We study quantum Hall interferometers in which the interference loop encircles a quantum anti-dot. We base our study on thermodynamic considerations, which we believe reflect the essential aspects of interference transport phenomena. We…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Sarah Levy Schreier , Ady Stern , Bernd Rosenow , Bertrand. I. Halperin

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

The wave nature of electrons in semiconductor nanostructures results in spatial interference effects similar to those exhibited by coherent light. The presence of spin-orbit coupling renders interference in spin space and in real space…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Zuelicke

We use a novel scanning electron Mach-Zehnder interferometer constructed in a conventional transmission electron microscope to perform inelastic interferometric imaging with free electrons. An electron wave function is prepared in two paths…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Cameron W. Johnson , Amy E. Turner , F. Javier García de Abajo , Benjamin J. McMorran

Two important features of mesoscopic Aharonov-Bohm (A-B) electronic interferometers are analyzed: decoherence due to coupling with other degrees of freedom and the coupled transport of charge and heat. We first review the principles of…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 O. Entin-Wohlman , A. Aharony , Y. Imry

We investigate a Mach-Zehnder interferometer driven by a time-dependent voltage. Motivated by recent experiments, we focus on a train of Lorentzian voltage pulses which we compare to a sinusoidal and a constant voltage. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Patrick P. Hofer , Christian Flindt

Interference of fractionally charged quasi-particles is expected to lead to Aharonov-Bohm oscillations with periods larger than the flux quantum. However, according to the Byers-Yang theorem, observables of an electronic system are…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Juerg Froehlich , Eugene V. Sukhorukov

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

We study theoretically electron interference in a Mach--Zehnder-like geometry formed by four zigzag graphene nanoribbons (ZGNRs) arranged in parallel pairs, one on top of the other, such that they form intersection angles of 60$^\circ$.…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Sofia Sanz , Nick Papior , Géza Giedke , Daniel Sánchez-Portal , Mads Brandbyge , Thomas Frederiksen

This work was motivated by the quest for observing interference of fractionally charged quasi particles. Here, we study the behavior of an electronic Mach-Zehnder interferometer (MZI) at the integer quantum Hall effect (IQHE) regime at…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Itamar Gurman , Ron Sabo , Moty Heiblum , Vladimir Umansky , Diana Mahalu

In a 'controlled dephasing' experiment [1-3], an interferometer loses its coherence due to entanglement with a controlled quantum system ('which path' detector). In experiments that were conducted thus far in mesoscopic systems only partial…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. Neder , F. Marquardt , M. Heiblum , D. Mahalu , V. Umansky

We show how to implement a Mach-Zehnder interferometry based upon a string of trapped ions with artificial nonlinear interactions. By adiabatically sweeping down/up the coupling strength between two involved internal states of the ions, we…

Quantum Physics · Physics 2014-01-23 Y. M. Hu , W. L. Yang , X. Xiao , Mang Feng , Chaohong Lee

Here, we report on our results where self-consistent calculations are performed to investigate the interference conditions, numerically. We employ the successful 4$^{th}$ order grid technique to obtain the actual electrostatic quantities of…

Mesoscale and Nanoscale Physics · Physics 2010-03-16 E. Cicek , A. Siddiki

We present a numerical study of a multichannel electronic Mach-Zehnder interferometer, based on magnetically-driven non-interacting edge states. The electron path is defined by a full-scale potential landscape on the two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Laura Bellentani , Andrea Beggi , Paolo Bordone , Andrea Bertoni

The coherent manipulation of a quantum wave is at the core of quantum sensing. For instance, atom interferometers require linear splitting and recombination processes to map the accumulated phase shift into a measurable population signal.…

Classical and quantum interference of light propagating in arrays of coupled waveguides and undergoing multiband optical Bloch oscillations (BOs) with negligible Zener tunneling is theoretically investigated. In particular, it is shown that…

Optics · Physics 2015-05-14 S. Longhi

We propose a device, consisting of a Hall bar with two weak barriers, that can be used to study quantum interference effects in a strongly correlated system. We show how the device provides a way of measuring the fractional charge and…

Condensed Matter · Physics 2007-05-23 C. de C. Chamon , D. E. Freed , S. A. Kivelson , S. L. Sondhi , X. G. Wen

A theoretical non-pertubative treatment is developed to explain the dephasing of electrons in the electronic Mach-Zehnder interferometer via interaction with a near-by partitioned electronic channel, which acts as a "which path" detector.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder

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