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We address the question of how to model electron transport through closed Aharonov-Bohm interferometers which contain quantum dots. By explicitly studying interferometers with one and two quantum dots, we establish the connection between a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Björn Kubala , Jürgen König

A quantum phase transition is an unequivocal signature of strongly correlated many-body physics. Signatures of such phenomena are yet to be observed in ballistic transport through quantum wires. Recent developments in quantum wires have…

Strongly Correlated Electrons · Physics 2017-07-26 Abolfazl Bayat , Sanjeev Kumar , Michael Pepper , Sougato Bose

Aharonov-Bohm interferences in the quantum Hall regime are observed when electrons are transmitted between two edge channels. Such a phenomenon has been realized in 2D systems such as quantum point contacts, anti-dots and p-n junctions.…

Mesoscale and Nanoscale Physics · Physics 2019-07-26 Viet Hung Nguyen , Jean-Christophe Charlier

We develop an analytical approach based on a unitary transformation to investigate S=1/2 antiferromagnetic Heisenberg chains coupled to phonons, and find a new quantum phase transition at zero temperature. Although the usual phase…

Strongly Correlated Electrons · Physics 2015-05-30 Satoru Akiyama , Chitoshi Yasuda

Coherent motion of electrons in a twisted quantum ring is considered to explore the effect of torsion inherent to the ring. Internal torsion of the ring composed of helical atomic configuration yields a non-trivial quantum phase shift in…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Hisao Taira , Hiroyuki Shima

The long-standing controversy regarding the Aharonov-Bohm phase shift is reviewed. The shifts of both optical and particle interference patterns are summarized. It is pointed out that a line of electric dipoles and a line of magnetic…

Atomic Physics · Physics 2009-11-13 Timothy H. Boyer

Hanbury-Brown and Twiss (HBT) effect is the foundation for stellar intensity interferometry. However, it is a phase insensitive two-photon interference effect. In this paper, we extend the HBT interferometer by mixing two phase-coherent…

Quantum Physics · Physics 2025-02-07 Xuan Tang , Yunxiao Zhang , Xueshi Guo , Liang Cui , Xiaoying Li , Z. Y. Ou

In two dimensions, the laws of physics permit existence of anyons, particles with fractional statistics which is neither Fermi nor Bose. That is, upon exchange of two such particles, the quantum state of a system acquires a phase which is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , Wei Zhou , V. J. Goldman

Zeilinger's observation that phenomena of the Aharonov-Bohm type lead to nondispersive, i.e. energy-independent, phase shifts in interferometers is generalized in a new proof which shows that the precise condition for nondispersivity is a…

Quantum Physics · Physics 2007-05-23 Murray Peshkin

Response of the electronic current through an Aharonov-Bohm ring after a two-level-system is switched on is calculated perturbatively by use of non-equilibrium Green function. In the ballistic case the amplitude of the Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gen Tatara

Recent novel mesoscopic two-arm experiments involving quantum dots, electron interferometry and Aharononov-Bohm effects have enabled measuring the electron transmission probabilities and the phases. Unexpected features in the phases as…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Englman , A. Yahalom

Low-dimensional quantum systems can host anyons, particles with exchange statistics that are neither bosonic nor fermionic. Despite indications of a wealth of exotic phenomena, the physics of anyons in one dimension (1D) remains largely…

We present a detailed theoretical description of quantum coherent electron transport in voltage-biased cross-like Andreev interferometers. Making use of the charge conjugation symmetry encoded in the quasiclassical formalism, we elucidate a…

Superconductivity · Physics 2019-08-21 Pavel E. Dolgirev , Mikhail S. Kalenkov , Andrei E. Tarkhov , Andrei D. Zaikin

We investigate the quantum transport in a generalized N-particle Hanbury Brown--Twiss setup enclosing magnetic flux, and demonstrate that the Nth-order cumulant of current cross correlations exhibits Aharonov-Bohm oscillations, while there…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 H. -S. Sim , E. V. Sukhorukov

In the seminal works from Santos and Gozalo [Europhys. Lett. $\mathbf{45}$, 418 (1999)] and Marletto and Vedral [Phys. Rev. Lett. $\mathbf{125}$, 040401 (2020)], it is shown how the Aharonov-Bohm effect can be described as the result of an…

Quantum Physics · Physics 2021-02-05 Pablo L. Saldanha

The phase factor $(-1)^{2s}$ that features in the exchange symmetry for identical spin-$s$ fermions or bosons is not simply and automatically equal to the phase factor one can observe in an interference experiment that involves physically…

Quantum Physics · Physics 2019-02-08 S. J. van Enk

In this paper, we report on the study of Abelian and non-Abelian statistics through Fabry-Perot interferometry of fractional quantum Hall (FQH) systems. Our detection of phase slips in quantum interference experiments demonstrates a…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 Sanghun An , P. Jiang , H. Choi , W. Kang , S. H. Simon , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We consider the phase-coherent transport of electrons passing through an Aharonov-Bohm ring while interacting with a tunnel charge in a double quantum dot (representing a charge qubit) which couples symmetrically to both arms of the ring.…

Mesoscale and Nanoscale Physics · Physics 2007-10-31 Henning Schomerus , John P. Robinson

Quantum transport through a double Aharonov-Bohm-interferometer in the presence of Andreev reflection is investigated in terms of the nonequilibrium Green function method with which the reflection current is obtained. Tunable Andreev…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yong-Ping Zhang , Hui Yu , Ying-Fang Gao , J. -Q. Liang

Interferometers, which are built using spatially propagating light or matter waves, are commonly used to measure physical quantities. These measurements are made possible by exploiting the interference between waves traveling along…

Atomic Physics · Physics 2024-03-18 Ryoichi Saito , Takashi Mukaiyama
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