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Two electrons in a quantum dot repel each other: their interaction can be characterized by a positive interaction energy. From the theory of superconductivity, we also know that mechanical vibrations of the crystal lattice can make the…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 Gábor Széchenyi , András Pályi , Matthias Droth

We show that a quantum particle subjected to a positive force in one path of a Mach-Zehnder interferometer and a null force in the other path may receive a negative average momentum transfer when it leaves the interferometer by a particular…

Quantum Physics · Physics 2018-12-18 Raul Corrêa , Marina F. B. Cenni , Pablo L. Saldanha

We study numerically and analytically the dynamics of two classical electrons with Coulomb interaction in a two dimensional antidot superlattice potential in the presence of crossed electric and magnetic fields. It is found that near one…

Condensed Matter · Physics 2009-10-31 A. L. Chepelianskii , D. L. Shepelyansky

Recent experiments [Nature 521, 196 (2015) and Nat. Commun. 8, 395 (2017)] have presented evidence for electron pairing in a quantum dot beyond the superconducting regime. Here, we show that the impact of an attractive electron-electron…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Eric Kleinherbers , Philipp Stegmann , Jürgen König

Coulomb repulsion between two moving electrons loses its spherical symmetry due to relativistic effects. In presence of a uniform positive ion background this asymmetry uncovers an angular dependent attraction potential in the direction of…

Superconductivity · Physics 2007-05-23 F. Raissi

We consider effects of the interaction between electrons drifting along the opposite sides of a narrow sample under the conditions of the quantum Hall effect. A spatial variation of this interaction leads to backward scattering of…

Condensed Matter · Physics 2016-08-31 Yuval Oreg , Alexander M. Finkel'stein

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…

We calculate in a linear response the admittance of a quantum dot out of equilibrium. The interaction between two electrons with opposite spins simultaneously residing on the resonant level is modeled by an Anderson Hamiltonian. The…

Condensed Matter · Physics 2009-10-22 T. Ivanov , V. Valtchinov , L. T. Wille

We investigate a Mach-Zehnder interferometer fed by two time-dependently driven single-particle sources, one of them placed in front of the interferometer, the other in the center of one of the arms. As long as the two sources are operated…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Guillem Rosselló , Francesca Battista , Michael Moskalets , Janine Splettstoesser

One of the defining properties of electrons is their mutual Coulombic repulsion. In solids, however, this basic property may change. A famous example is that of superconductors, where coupling to lattice vibrations make electrons attract…

In quantum electrodynamics, the quantitatively most successful theory in the history of science, intercharge forces obeying the inverse square law are due to the exchange of space-like virtual photons. The fundamental quantum process…

Classical Physics · Physics 2009-07-13 J. H. Field

We consider the electronic analog of the Hong-Ou-Mandel interferometer from quantum optics. In this realistic condensed matter device, single electrons are injected and travel along opposite chiral edge states of the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 J. Rech , C. Wahl , T. Jonckheere , T. Martin

Electron pairing is a rare phenomenon appearing only in a few unique physical systems; e.g., superconductors and Kondo-correlated quantum dots. Here, we report on an unexpected, but robust, electron "pairing" in the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Hyungkook Choi , Itamar Sivan , Amir Rosenblatt , Moty Heiblum , Vladimir Umansky , Diana Mahalu

The quantum coherence of electronic quasiparticles underpins many of the emerging transport properties of conductors at small scales. Novel electronic implementations of quantum optics devices are now available with perspectives such as…

Mesoscale and Nanoscale Physics · Physics 2019-09-24 H. Duprez , E. Sivre , A. Anthore , A. Aassime , A. Cavanna , A. Ouerghi , U. Gennser , F. Pierre

We consider a mesoscopic circuit in the quantum Hall effect regime comprising two synchronized single-particle sources emitting particles into a Mach-Zehnder interferometer. While particles from one source can possibly interfere at the…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Stefan Juergens , Janine Splettstoesser , Michael Moskalets

The mutual electromagnetic correlations between two spatially separated systems gives rise to Casimir and Casimir-Polder effect. The corresponding forces, which are generally attractive for most vacuum-separated metallic or dielectric…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Partha Goswami

The transmission of two electrons through a region where they interact is found to be enhanced by a renormalization of the repulsive interaction. For a specific example of the single-particle Hamiltonian, which includes a strongly…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. Entin-Wohlman , A. Aharony , Y. Imry , Y. Levinson

In classical mechanics and electromagnetism, interference occurs when two or more waves overlap at the same point in spacetime. However, the advent of quantum electrodynamics (QED) and its remarkable success in describing light-matter…

Quantum Physics · Physics 2025-08-15 Alan C. Santos , Celso J. Villas-Boas

Quantum physics rules the dynamics of small objects as they interact over microscopic length scales. Nevertheless, quantum correlations involving macroscopic distances can be observed between entangled photons as well as in atomic gases and…

Quantum Physics · Physics 2026-05-28 Cruz I. Velasco , Valerio Di Giulio , F. Javier García de Abajo

Quantum interference is typically detected through the dependence of the interference signal on certain parameters (path length, Aharonov-Bohm flux, etc.), which can be varied in a controlled manner. The destruction of interference by a…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Iliya Esin , Alessandro Romito , Yuval Gefen
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