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The nonadiabatic geometric quantum computation may be achieved using coupled low-capacitance Josephson juctions. We show that the nonadiabtic effects as well as the adiabatic condition are very important for these systems. Moreover, we find…

量子物理 · 物理学 2009-11-07 Shi-Liang Zhu , Z. D. Wang

A remarkable property of quantum mechanics in two-dimensional (2D) space is its ability to support "anyons," particles that are neither fermions nor bosons. Theory predicts that these exotic excitations can be realized as bound states…

Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

Transport of overdamped Brownian particles in a two-dimensional asymmetric tube is investigated in the presence of nonadiabatic periodic driving forces. By using Brownian dynamics simulations we can find that the phenomena in nonadiabatic…

软凝聚态物质 · 物理学 2015-05-18 Bao-quan Ai

Executing quantum algorithms using Majorana zero modes - a major milestone for the field of topological quantum computing - requires a platform that can be scaled to large quantum registers, can be controlled in real time and space, and a…

介观与纳米尺度物理 · 物理学 2025-03-17 Jasmin Bedow , Dirk K. Morr

We describe a scheme to exchange fermion parity between two pairs of Majorana bound states mediated by coupling with a centralized quantum dot. We specifically formulate such a scheme for Majorana bound states nucleated in the Josephson…

介观与纳米尺度物理 · 物理学 2024-03-26 Varsha Subramanyan , Jukka I Vayrynen , Alex Levchenko , Smitha Vishveshwara

We propose a neural network-based model capable of learning the broad landscape of working regimes in quantum dot simulators, and using this knowledge to autotune these devices - based on transport measurements - toward obtaining Majorana…

介观与纳米尺度物理 · 物理学 2026-04-14 Mateusz Krawczyk , Jarosław Pawłowski

Nonadiabatic dynamical processes are one of the most important quantum mechanical phenomena in chemical, materials, biological, and environmental molecular systems, where the coupling between different electronic states is either inherent…

化学物理 · 物理学 2022-05-24 Jian Liu , Xin He , Baihua Wu

We apply the transitionless quantum driving method to control the electron spin of a two-electron double quantum dot with spin-orbit coupling by time-dependent electric fields. The $x$ and $y$ components of applied electric fields in each…

量子物理 · 物理学 2012-12-14 Yue Ban

We employ a time-dependent real-space local density-of-states method to study the movement and fusion of Majorana zero modes in the 1D interacting Kitaev model, based on the time evolution of many-body states. We analyze the dynamics and…

超导电性 · 物理学 2024-10-04 Bradraj Pandey , Narayan Mohanta , Elbio Dagotto

Majorana modes emerge in non-trivial topological phases at the edges of some specific materials, like proximitized semiconducting nanowires under a external magnetic field. Ideally, they are non-local states that are charge neutral…

介观与纳米尺度物理 · 物理学 2018-09-13 Samuel D. Escribano , Alfredo Levy Yeyati , Elsa Prada

Nonadiabatic molecular dynamics simulations aim to describe the coupled electron-nuclear dynamics of molecules in excited electronic states. These simulations have been applied to understand a plethora of photochemical and photophysical…

The study of topological states has become an important topic in both solid-state systems and artificial structures such as photonic crystals and phononic crystals. Among them, Majorana zero modes, which exhibit nontrivial braiding process,…

介观与纳米尺度物理 · 物理学 2025-01-03 Qiyun Ma , Hailong He , Meng Xiao , Zhengyou Liu

We analyze a setup composed of a correlated quantum dot (QD) coupled to one metallic lead and one end of topological chain hosting a Majorana zero mode (MZM). In such a hybrid structure, a leakage of the MZM into the region of the QD…

介观与纳米尺度物理 · 物理学 2024-01-24 Jan Baranski , Magdalena Baranska , Tomasz Zienkiewicz , Justyna Tomaszewska , Konrad Jerzy Kapcia

Optimal performance of thermal machines is reached by suppressing friction. Friction in quantum thermodynamics results from fast driving schemes that generate nonadiabatic excitations. The far-from-equilibrium dynamics of quantum devices…

量子气体 · 物理学 2018-05-01 Shujin Deng , Aurélia Chenu , Pengpeng Diao , Fang Li , Shi Yu , Ivan Coulamy , Adolfo del Campo , Haibin Wu

High control in the preparation and manipulation of states is an experimental and theoretical important task in many quantum protocols. Shortcuts to adiabaticity methods allow to obtain desirable states of a adiabatic dynamics but in short…

量子物理 · 物理学 2024-10-28 Jonas F. G. Santos

We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of…

介观与纳米尺度物理 · 物理学 2025-05-15 Jasmin Bedow , Dirk K. Morr

We study the adiabatic dynamics of degenerate quantum states induced by loop paths in a control parameter space. The latter correspond to noisy trajectories if the system is weakly coupled to environmental modes. On top of conventional…

介观与纳米尺度物理 · 物理学 2020-07-29 Kyrylo Snizhko , Reinhold Egger , Yuval Gefen

Fusing Majorana zero modes leads to multiple outcomes, a property being unique to non-Abelian anyons. Successful demonstration of this nontrivial fusion rule would be a hallmark for the development of topological quantum computation.Here we…

介观与纳米尺度物理 · 物理学 2023-10-26 Yu Zhang , Xiaoyu Zhu , Chunhui Li , Juntao Song , Jie Liu , X. C. Xie

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…