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We present a microscopic model of interacting fermions where the ground state degeneracy is topologically protected. The model is based on a double-wire setup with local interactions in a particle number conserving setting. A compelling…

强关联电子 · 物理学 2015-08-05 Nicolai Lang , Hans Peter Büchler

We study the non-linear beam splitter in matter-wave interferometers using ultracold quantum gases in a double-well configuration in presence of non-local interactions inducing inter-well density-density coupling, as they can be realized,…

量子气体 · 物理学 2020-04-24 Cosetta Baroni , Giacomo Gori , Maria Luisa Chiofalo , Andrea Trombettoni

An overview is given of the 2D many-anyon gas, including its definition (both for ideal and certain less-than-ideal particles, as well as for abelian and nonabelian braid group representations), its corresponding known properties starting…

数学物理 · 物理学 2023-12-05 Douglas Lundholm

We present a comprehensive numerical simulation of an echo-type atom interferometer. The simulation confirms a new theoretical description of this interferometer that includes effects due to spontaneous emission and magnetic sub-levels.…

原子物理 · 物理学 2013-02-05 Brynle Barrett , Itay Yavin , Scott Beattie , A. Kumarakrishnan

We investigate pairing instabilities in the Fermi-liquid-like state of a single species of anyons. We describe the anyons as Fermions interacting with a Chern-Simons gauge field and consider the weak coupling limit where their statistics…

凝聚态物理 · 物理学 2009-10-22 M. I. Dobroliubov , I. I. Kogan , G. W. Semenoff

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…

介观与纳米尺度物理 · 物理学 2015-06-23 Guillem Rosselló , Francesca Battista , Michael Moskalets , Janine Splettstoesser

Topological systems, such as fractional quantum Hall liquids, promise to successfully combat environmental decoherence while performing quantum computation. These highly correlated systems can support non-Abelian anyonic quasiparticles that…

量子物理 · 物理学 2009-10-12 G. K. Brennen , S. Iblisdir , J. K. Pachos , J. K. Slingerland

Topological insulators supporting non-abelian anyonic excitations are at the center of attention as candidates for topological quantum computation. In this paper, we analyze the ground-state properties of disordered non-abelian anyonic…

强关联电子 · 物理学 2013-05-29 Lukasz Fidkowski , Gil Refael , Nick Bonesteel , Joel Moore

Motivated by the presence of different orders in multilayered high-temperature superconductors, we examine a model consisting of nonequivalent two Hubbard chains coupled by interchain hopping by using the density-matrix renormalization…

强关联电子 · 物理学 2009-11-03 Hiroyuki Yoshizumi , Takami Tohyama , Takao Morinari

A non-abelian anyon can only occur in the presence of ground state degeneracy in the plane. It is conceivable that for some strange anyon with quantum dimension $>1$ that the resulting representations of all $n$-strand braid groups $B_n$…

强关联电子 · 物理学 2016-03-23 Eric C. Rowell , Zhenghan Wang

Recently, Chen \em et al\rm.\ [New J. Phys. {\bf 13} (2011) 083018] presented experimental results, accompanied by quantum-mechanical analysis, showing that the quantum interference behavior of Bell states could be simulated in a modified…

量子物理 · 物理学 2015-05-30 Jeffrey H. Shapiro

Collective states of interacting non-Abelian anyons have recently been studied mostly in the context of certain fractional quantum Hall states, such as the Moore-Read state proposed to describe the physics of the quantum Hall plateau at…

强关联电子 · 物理学 2011-04-11 Eddy Ardonne , Jan Gukelberger , Andreas W. W. Ludwig , Simon Trebst , Matthias Troyer

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

If an experimental treatment is experienced by both treated and control group units, tests of hypotheses about causal effects may be difficult to conceptualize let alone execute. In this paper, we show how counterfactual causal models may…

统计方法学 · 统计学 2012-08-03 Jake Bowers , Mark Fredrickson , Costas Panagopoulos

The coherence time, and thus sensitivity, of trapped atom interferometers that use non-degenerate gasses are limited by the collisions between the atoms. An analytic model that describes the effects of collisions between atoms in an…

原子物理 · 物理学 2009-11-13 James A. Stickney , Matthew B. Squires , James Scoville , Paul Baker , Steven Miller

Adopting the frame of mesoscopic physics, we describe a Bell type experiment involving time-delayed two-particle correlation measurements. The indistinguishability of quantum particles results in a specific interference between different…

介观与纳米尺度物理 · 物理学 2009-11-13 A. V. Lebedev , G. Blatter

Known Majorana fermions models are considered as promising ones for the purposes of quantum computing robust to decoherence. One of the most expecting but unachieved goals is an effective control for braiding of Majoranas. Another one is to…

介观与纳米尺度物理 · 物理学 2017-12-15 Halina V. Grushevskaya , George Krylov

Given recent progress in the realization of Majorana zero modes in semiconducting nanowires with proximity-induced superconductivity, a crucial next step is to attempt an experimental demonstration of the predicted braiding statistics…

介观与纳米尺度物理 · 物理学 2017-05-08 David J. Clarke , Jay D. Sau , Sankar Das Sarma

Identical two-particle interferometry provides a scenario where interference and exchange effects manifest at once. We present a detailed calculation of the detection patterns in the two-particle two-slit experiment by extending Feynman's…

量子物理 · 物理学 2014-03-05 Pedro Sancho

A parity meter projects the state of two qubits onto two subspaces with different parities, the states in each parity class being indistinguishable. It has application in quantum information for its entanglement properties. In our work we…

介观与纳米尺度物理 · 物理学 2010-11-12 Géraldine Haack , Heidi Förster , Markus Büttiker