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We derive a set of Leggett-Garg inequalities (temporal Bell's inequalities) for the moment generating function of charge transferred through a conductor. Violation of these inequalities demonstrates the absence of a macroscopic-real…

Mesoscale and Nanoscale Physics · Physics 2012-09-10 Clive Emary

The Lindblad approach to continuous quantum measurements is applied to a system composed of a two-level atom interacting with a stationary quantized electromagnetic field through a dispersive coupling fulfilling quantum nondemolition…

Quantum Physics · Physics 2009-10-31 Roberto Onofrio , Lorenza Viola

We report on a study of complementarity in a two-terminal "closed-loop" Aharonov-Bohm interferometer. In this interferometer, the simple picture of two-path interference cannot be applied. We introduce a nearby quantum point contact to…

Quantum Physics · Physics 2009-11-13 Gyong Luck Khym , Kicheon Kang

A recently proposed statistical model for the effects of decoherence on electron transport manifests a decoherence-driven transition from quantum-coherent localized to ohmic behavior when applied to the one-dimensional Anderson model. Here…

Mesoscale and Nanoscale Physics · Physics 2012-02-20 Matías Zilly , Orsolya Ujsághy , Marko Woelki , Dietrich E. Wolf

Quantum Hall interferometers have been used to probe fractional charge, and more recently, fractional statistics of quasiparticles. Theoretical predictions have been made regarding the effect of electrostatic coupling on interferometer…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We investigate quantum phase estimation in a Mach-Zehnder interferometer using q-deformed photon states, including q-coherent and q-cat states, which model realistic deviations from ideal light sources. By deriving closed-form photon count…

Quantum Physics · Physics 2025-10-07 Duttatreya , Sanjib Dey

In the present work we explore electron transport properties through a quantum interferometer attached symmetrically to two one-dimensional semi-infinite metallic electrodes, namely, source and drain. The interferometer is made up of two…

Mesoscale and Nanoscale Physics · Physics 2010-05-03 Santanu K. Maiti

We have studied the zero-temperature statistics of the charge transfer between the two edges of Quantum Hall liquids of, in general, different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, forming Mach-Zehnder…

Strongly Correlated Electrons · Physics 2015-05-18 V. V. Ponomarenko , D. V. Averin

We derive the full counting statistics of charge transfer through a voltage biased superconducting junction. We find that for measurement times much longer than the inverse Josephson frequency, the counting statistics describes a correlated…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Göran Johansson , Peter Samuelsson , Åke Ingerman

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 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 analyze the nonequilibrium transport properties of a quantum dot with a harmonic degree of freedom (Holstein phonon) coupled to metallic leads, and derive its full counting statistics (FCS). Using the Lang-Firsov (polaron)…

Mesoscale and Nanoscale Physics · Physics 2011-02-11 S. Maier , T. L. Schmidt , A. Komnik

We investigate the phase sensitivity of a Mach-Zehnder interferometer using a special class of generalized coherent states constructed from generalized Heisenberg and deformed $su(1,1)$ algebras. These states, derived from a perturbed…

Quantum Physics · Physics 2025-11-03 N. E. Abouelkhir , A. Slaoui , R. Ahl Laamara

The past few years have produced major advances in our understanding of the quantum Hall effects---quantized and unquantized. Theories based on a mathematical transformation, where the electrons are replaced by a set of fermions interacting…

Condensed Matter · Physics 2007-05-23 Bertrand I. Halperin

A quantum mechanical theory is developed for the statistics of momentum transferred to the lattice by conduction electrons. Results for the electromechanical noise power in the semiclassical diffusive transport regime agree with a recent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kindermann , C. W. J. Beenakker

We consider the role of quantum mechanics in a specific coherent control scenario, designing a "coherent control interferometer" as the essential tool that links coherent control to quantum fundamentals. Building upon this allows us to…

Quantum Physics · Physics 2014-11-27 Torsten Scholak , Paul Brumer

The probability distribution of the mesoscopic local density of states (LDOS) for a single-channel disordered quantum wire with chiral symmetry is computed in two different geometries. An approximate ansatz is proposed to describe the…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Ryu , C. Mudry , A. Furusaki

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 investigate measurement of electron transport in quantum dot systems by using single-electron transistor as a noninvasive detector. It is demonstrated that such a detector can operate in the ``negative-result measurement'' regime. In…

Quantum Physics · Physics 2009-11-10 S. A. Gurvitz

We study the transport of cold fermionic atoms trapped in optical lattices in the presence of artificial Abelian or non-Abelian gauge potentials. Such external potentials can be created in optical lattices in which atom tunneling is laser…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 N. Goldman , P. Gaspard
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