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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…

量子物理 · 物理学 2021-02-05 Pablo L. Saldanha

The nonequilibrium real-time dynamics of electron coherence is explored in the quantum transport through the double-dot Aharonov-Bohm interferometers. We solve the exact master equation to find the exact quantum state of the device, from…

介观与纳米尺度物理 · 物理学 2011-03-28 Matisse Wei-Yuan Tu , Wei-Min Zhang , Jinshuang Jin

In the Aharonov-Bohm (AB) effect, interference fringes are observed for a charged particle in the absence of the local overlap with the external electromagnetic field. This notion of the apparent nonlocality of the interaction or the…

量子物理 · 物理学 2025-06-11 Kicheon Kang

In the Aharonov-Bohm (AB) effect, a superposed charge acquires a detectable phase by enclosing an infinite solenoid, in a region where the solenoid's electric and magnetic fields are zero. Its generation seems therefore explainable only by…

量子物理 · 物理学 2020-07-29 C. Marletto , V. Vedral

Phase relaxation of electrons transferring through an electromechanical transistor is studied using the Aharonov-Bohm interferometer. With the approach of quantum master equation, the phase properties of an electron are numerically analyzed…

介观与纳米尺度物理 · 物理学 2015-06-12 Wenxi Lai , Yunhui Xing , Zhongshui Ma

We propose a quantitative test of the quantum nonlocality in the electromagnetic interaction that generates the Aharonov-Bohm effect. For this purpose, we derive an interaction Lagrangian based on the local action of gauge-invariant…

量子物理 · 物理学 2025-06-11 Kicheon Kang

The Aharonov-Bohm effect has been invoked to probe the phase structure of a gauge theory. Yet in the case of non-Abelian gauge theories, it proves difficult to formulate a general procedure that unambiguously specifies the realization of…

高能物理 - 理论 · 物理学 2009-10-28 Hoi-Kwong Lo

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.…

介观与纳米尺度物理 · 物理学 2009-11-11 Eun-Ah Kim

We address the quantum dot phase measurement problem in an open Aharonov-Bohm interferometer, assuming multiple transport channels. In such a case, the quantum dot is characterized by more than one intrinsic phase for the electrons…

介观与纳米尺度物理 · 物理学 2015-05-18 M. Ţolea , M. Niţă , A. Aldea

Design of a Fabry-Perot (double point contact) interferometer to measure fractional quantum Hall effect quasiparticle charge properties, and in particular the 5/2 excitations, poses an important trade-off: the device size should be…

介观与纳米尺度物理 · 物理学 2013-01-14 R. L. Willett , L. N. Pfeiffer , K. W. West , M. Manfra

The gauge invariance of the Aharonov-Bohm (AB) effect with a quantum treatment for the electromagnetic field is demonstrated. We provide an exact solution for the electromagnetic ground energy due to the interaction of the quantum…

量子物理 · 物理学 2024-06-12 Pablo L. Saldanha

By utilizing single particle interferometry, the fidelity or coherence of a pair of quantum states is identified with their capacity for interference. We consider processes acting on the internal degree of freedom (e.g., spin or…

量子物理 · 物理学 2009-11-13 Daniel K. L. Oi , Johan Aberg

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…

凝聚态物理 · 物理学 2007-05-23 C. de C. Chamon , D. E. Freed , S. A. Kivelson , S. L. Sondhi , X. G. Wen

According to Bohr's complementarity principle, a particle possesses wave-like properties only when the different paths the particle may take are indistinguishable. In a canonical example of a two-path interferometer with a which-path…

介观与纳米尺度物理 · 物理学 2008-06-17 Dong-In Chang , Gyong Luck Khym , Kicheon Kang , Yunchul Chung , Hu-Jong Lee , Minky Seo , Moty Heiblum , Diana Mahalu , Vladimir Umansky

We use the Aharonov-Bohm effect in a four-terminal ring based on a Ga[Al]As heterostructure for the measurement of the relative transmission phase. In each of the two interfering paths we induce a quantum dot. The number of electrons in the…

介观与纳米尺度物理 · 物理学 2007-05-23 M. Sigrist , A. Fuhrer , T. Ihn , K. Ensslin , W. Wegscheider , M. Bichler

Current attempts to probe general relativistic effects in quantum mechanics focus on precision measurements of phase shifts in matter-wave interferometry. Yet, phase shifts can always be explained as arising due to an Aharonov-Bohm effect,…

量子物理 · 物理学 2011-11-09 Magdalena Zych , Fabio Costa , Igor Pikovski , Caslav Brukner

Quasi-particles in fractional quantum Hall states are collective excitations that carry fractional charge and anyonic statistics. While the fractional charge affects semi-classical characteristics such as shot noise and charging energies,…

We review different attempts to show the decoherence process in double-slit-like experiments both for charged particles (electrons) and neutral particles with permanent dipole moments. Interference is studied when electrons or atomic…

量子物理 · 物理学 2009-11-11 Fernando C. Lombardo , Paula I. Villar

The Aharonov-Bohm effect is a fundamental topological phenomenon with a wide range of applications. It consists of a charge encircling a region with a magnetic flux in a superposition of wave packets having their relative phase affected by…

量子物理 · 物理学 2023-03-17 Ismael L. Paiva , Pedro R. Dieguez , Renato M. Angelo , Eliahu Cohen

Interferometry has underpinned a century of discoveries, ranging from the disproval of the ether theory to the detection of gravitational waves, offering insights into wave dynamics with unrivalled precision through the measurement of phase…

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