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We examine the relation between different electronic transport phenomena in a Fabry-Perot interferometer in the fractional quantum Hall regime. In particular, we study the way these phenomena reflect the statistics of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2010-08-24 Ady Stern , Bernd Rosenow , Roni Ilan , Bertrand I. Halperin

Phase measurement using a lossless Mach-Zehnder interferometer with certain entangled $N$-photon states can lead to a phase sensitivity of the order of 1/N, the Heisenberg limit. However, previously considered output measurement schemes are…

Quantum Physics · Physics 2009-11-13 Yang Gao , Hwang Lee

We theoretically analyze a Mach-Zehnder interferometer with trapped condensates, and find that it is surprisingly stable against the nonlinearity induced by inter-particle interactions. The phase sensitivity, which we study for number…

Quantum Physics · Physics 2011-08-17 Julian Grond , Ulrich Hohenester , Joerg Schmiedmayer , Augusto Smerzi

We compute the temperature, voltage, and magnetic field dependences of the resistance oscillations of a model interferometer designed to measure the fractional statistics of the quasiparticles in the fractional quantum Hall (FQH) effect.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eun-Ah Kim

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…

Fractionally charged quasiparticles in the quantum Hall state with filling factor $\nu=5/2$ are expected to obey non-Abelian statistics. We demonstrate that their statistics can be probed by transport measurements in an electronic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. E. Feldman , Alexei Kitaev

We experimentally demonstrate optical Mach-Zehnder interferometer utilizing displaced Sagnac configuration to enhance its phase stability. The interferometer with footprint of 27x40 cm offers individually accessible paths and shows phase…

We have determined the finite temperature coherence length of edge states in the Integer Quantum Hall Effect (IQHE) regime. This was realized by measuring the visibility of electronic Mach-Zehnder interferometers of different sizes, at…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Roulleau , F. Portier , P. Roche , A. Cavanna , G. Faini , U. Gennser , D. Mailly

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

The work is motivated by the puzzling results of the recent experiment [S. Tewari et al., Phys. Rev. B 93, 035420 (2016)], where a robust coherence recovery from a certain energy was detected for an electron injected into the quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Anna S. Goremykina , Eugene V. Sukhorukov

We investigate the influence of the superconducting (S) proximity effect in the quantum Hall (QH) regime by computing the charge conductance flowing through a graphene-based QH/S/QH junction. This situation offers the exciting possibility…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Pierre Carmier

Landau-Zener-St\"uckelberg-Majorana (LZSM) interference emerges when the parameters of a $\textit{qubit}$ are periodically modulated across an avoided level crossing. Here, we investigate the occurrence of the LZSM phenomenon in nonlinear…

We demonstrate an innovative quantum Hall circuit with variable geometry employing the moveable electrostatic potential induced by a biased atomic force microscope tip. We exploit this additional degree of freedom to identify the…

We compute the exact single-particle time-resolved dynamics of electronic Mach-Zehnder interferometers based on Landau edge-states transport, and assess the effect of the spatial localization of carriers on the interference pattern. The…

Mesoscale and Nanoscale Physics · Physics 2016-04-29 Andrea Beggi , Paolo Bordone , Fabrizio Buscemi , Andrea Bertoni

The studies of mechanical resonators in the quantum regime not only provide insight into the fundamental nature of quantum mechanics of massive objects, but also introduce promising platforms for novel hybrid quantum technologies. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Mikael Kervinen , Jhon E. Ramírez-Muñoz , Alpo Välimaa , Mika A. Sillanpää

The influences of long range Coulomb interaction (LRCI) on Mach-Zehnder interferometer (MZI) constructed on quantum Hall edge states is studied employing bosonization method. The interaction of interchannel zero-modes is shown to give rise…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hyun C. Lee

We study coherence and entanglement properties of the state space of a composite bi-fermion (two electrons pierced by $\lambda$ magnetic flux lines) at one Landau site of a bilayer quantum Hall system. In particular, interlayer imbalance…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 M. Calixto , E. Pérez-Romero

Recent experiments have shown that electronic Mach-Zehnder interferometers of unprecedented fidelities could be built using a graphene pn junction in the quantum Hall regime. In these junctions, two different edge states corresponding to…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 I. M. Flór , A. Lacerda-Santos , G. Fleury , P. Roulleau , X. Waintal

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

Particle-hole symmetry of the Bogoliubov-de~Gennes Hamiltonian is widely assumed to enforce bias-symmetric transport at superconducting interfaces. We show that this expectation fails generically for interfaces with finite spatial extent…

Superconductivity · Physics 2026-03-17 Vishal Tripathi , Goutam Sheet
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