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The charge and exchange statistics of an elementary excitation manifest in quantum coherent oscillations that can be explored in interferometry measurements. Quantum Hall interferometers are primary tools to uncover unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Hailong Fu , Ke Huang , Kenji Watanabe , Takashi Taniguchi , Morteza Kayyalha , Jun Zhu

We consider the tunneling current through a double point-contact Fabry-Perot interferometer such as used in recent experimental studies of the fractional quantum Hall plateau at filling fraction nu=5/2. We compare the predictions of several…

Mesoscale and Nanoscale Physics · Physics 2009-10-05 Waheb Bishara , Parsa Bonderson , Chetan Nayak , Kirill Shtengel , J. K. Slingerland

Measurement of the transmission phase through a quantum dot (QD) embedded in an arm of a two-terminal Aharonov-Bohm (AB) interferometer is inhibited by phase symmetry, i.e. the property that the linear response conductance of a two-terminal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vadim Puller , Yigal Meir

We study transport through an electronic Mach-Zehnder interferometer recently devised at the Weizmann Institute. We show that this device can be used to probe statistics of quasiparticles in the fractional quantum Hall regime. We calculate…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. T. Law , D. E. Feldman , Yuval Gefen

Quantum Hall (QH) interferometry provides an archetypal platform for the experimental realization of braiding statistics of fractional QH states. However, the complexity of observing fractional statistics requires phase coherence over the…

The quasiparticles (QPs) or quasiholes (QHs) of fractional quantum Hall states have been predicted to obey fractional braid statistics, which refers to the Berry phase (in addition to the usual Aharonov-Bohm phase) associated with an…

Strongly Correlated Electrons · Physics 2024-12-17 Mytraya Gattu , G. J. Sreejith , J. K. Jain

Two optical fiber Mach-Zehnder interferometers were constructed in an environment with a temperature stabilization of better than 1 mK per day. One interferometer with a length of 2 m optical fiber in each arm with the main direction of the…

Classical Physics · Physics 2015-05-14 Victor de Haan

Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is…

A novel single-photon Mach-Zehnder interferometer terminated at two different frequencies realizes the nonlinear frequency conversion of optical quantum superposition states. The information-preserving character of the relevant unitary…

Quantum Physics · Physics 2007-05-23 P. Mataloni , G. Giorgi , F. De Martini

Anyons are particles with fractional exchange statistics that emerge as elementary excitations of fractional quantum Hall phases. Experimentally, their exchange statistics can be measured in the edge-state Fabry-P\'erot interferometer. In…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 Noah L. Samuelson , Liam A. Cohen , Will Wang , Simon Blanch , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

To detect non-abelian statistics in the $\nu = 12/5$ quantum Hall state through interferometry, we apply an analysis similar to the ones proposed for the non-abelian $\nu = 5/2$ quantum Hall state. The result is that the amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 Suk Bum Chung , Michael Stone

Quantum interferometers are powerful tools for probing the wave-nature and exchange statistics of indistinguishable particles. Of particular interest are interferometers formed by the chiral, one-dimensional (1D) edge channels of the…

Optical interferometers are extensively used in fundamental physics test, gravitational wave detection, quantum metrology, topological photonics, and quantum information processing. Fiber-based interferometers are compact, robust and cheap,…

Optics · Physics 2025-02-21 Ruiyang Chen , Yi-Han Luo , Jinbao Long , Junqiu Liu

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

The anyonic quantum walk is a dynamical model describing a single anyon propagating along a chain of stationary anyons and interacting via mutual braiding statistics. We review the recent results on the effects of braiding statistics in…

Quantum Physics · Physics 2013-05-20 Lauri J. Lehman , Vaclav Zatloukal , Jiannis K. Pachos , Gavin K. Brennen

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

Studies of electronic interferometers, based on edge channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges.These studies…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Itamar Sivan , Hyungkook Choi , Amir Rosenblatt , Jinhong Park , Yuval Gefen , Diana Mahalu , Vladimir Umansky

A new type of quantum entangled interferometer was recently realized that employs parametric amplifiers as the wave splitting and recombination elements. The quantum entanglement stems from the parametric amplifiers, which produce quantum…

Quantum Physics · Physics 2020-09-21 Z. Y. Ou , Xiaoying Li

Recent pioneering works have set the stage for exploring anyon braiding statistics from negative current cross-correlations along two intersecting quasiparticle beams. In such a dual-source - analyzer quantum point contact setup, also…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 P. Glidic , O. Maillet , A. Aassime , C. Piquard , A. Cavanna , U. Gennser , Y. Jin , A. Anthore , F. Pierre

A quantum two-path interferometer allows for direct measurement of the transmission phase shift of an electron, providing useful information on coherent scattering problems. In mesoscopic systems, however, the two-path interference is…

Mesoscale and Nanoscale Physics · Physics 2015-08-13 S. Takada , M. Yamamoto , C. Bäuerle , K. Watanabe , A. Ludwig , A. D. Wieck , S. Tarucha