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An important class of approaches to the description of electronic transport through molecules and quantum dots is based on the master equation. We discuss various formalisms for deriving a master equation and their interrelations. It is…

介观与纳米尺度物理 · 物理学 2009-11-13 Carsten Timm

A general transport equation for the center of mass motion is constructed to study transports of electronic system under uniform magnetic field and microwave radiation. The equation is applied to study 2D electron system in the limit of…

介观与纳米尺度物理 · 物理学 2009-11-11 Tai-Kai Ng , Lixin Dai

The master equation plays an important role in many scientific fields including physics, chemistry, systems biology, physical finance, and sociodynamics. We consider the master equation with periodic transition rates. This may represent an…

定量方法 · 定量生物学 2017-10-23 Michael Margaliot , Lars Grüne , Thomas Kriecherbauer

Majorana Bound States (MBS) have emerged as promising candidates for robust quantum computing due to their non-Abelian statistics and topological protection. In this study, we focus on the dynamical transport of MBS in the…

介观与纳米尺度物理 · 物理学 2025-07-14 Dibyajyoti Sahu , Suhas Gangadharaiah

This paper presents a comprehensive review of the wave-function approach for derivation of the number-resolved Master equations, used for description of transport and measurement in mesoscopic systems. The review contains important…

介观与纳米尺度物理 · 物理学 2017-06-20 Shmuel Gurvitz

We use a generalized Master equation (GME) formalism to describe the non-equilibrium time-dependent transport through a short quantum wire connected to semi-infinite biased leads. The contact strength between the leads and the wire are…

介观与纳米尺度物理 · 物理学 2013-05-15 Kristinn Torfason , Andrei Manolescu , Valeriu Molodoveanu , Vidar Gudmundsson

Motivated by recent experiments searching for Majorana fermions (MFs) in hybrid semiconducting-superconducting nanostructures, we consider a realistic tight-binding model and analyze its transport behavior numerically. In particular, we…

介观与纳米尺度物理 · 物理学 2013-02-04 Diego Rainis , Luka Trifunovic , Jelena Klinovaja , Daniel Loss

Motivated by recent experiments we consider transport across an interacting magnetic impurity coupled to the Majorana zero mode (MZM) observed at the boundary of a topological superconductor (SC). In the presence of a finite tunneling…

介观与纳米尺度物理 · 物理学 2022-03-11 Daniele Guerci , Andrea Nava

We investigate theoretically nonequilibrium quantum transport in a quantum dot attached to a Majorana bound state. Our approach is based on the Keldysh Green's function formalism, which allows us to investigate the electric current…

强关联电子 · 物理学 2014-03-17 S. J. S. da Silva , A. C. Seridonio , J. Del Nero , F. M. Souza

Topological quantum computing is based on the notion of braiding non-Abelian anyons, such as Majorana zero modes (MZMs), to perform gate operations. A crucial building block of these protocols is the adiabatic shuttling of MZMs through…

介观与纳米尺度物理 · 物理学 2023-03-28 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

Topologically protected qubits based on nanostructures hosting Majorana bound states (MBSs) hold great promise for fault-tolerant quantum computing. We study the transport properties of nanowire networks hosting MBSs with a focus on the…

介观与纳米尺度物理 · 物理学 2020-05-20 Johan Ekström , Patrik Recher , Thomas L. Schmidt

We study the decoherence of a collection of Majorana zero modes weakly coupled to a gapless reservoir of non-interacting fermions. Using the Born-Markov approximation, we derive a Lindblad master equation for the dissipative dynamics of the…

介观与纳米尺度物理 · 物理学 2026-01-21 Sauri Bhattacharyya , Marco Grilli , Bernard van Heck

Majorana zero mode (MZM) exhibits inherent resilience to local parametric fluctuations, due to the topological protection mechanism in the non-Abelian braiding statistics of the anyonic quasiparticles. In this paper, we construct the…

量子物理 · 物理学 2025-11-19 Zhu-yao Jin , Jun Jing

The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs are typically envisioned on a network of topological…

介观与纳米尺度物理 · 物理学 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

We present a theoretical analysis of low-energy quantum transport in coupled Majorana box devices. A single Majorana box represents a Coulomb-blockaded mesoscopic superconductor proximitizing two or more long topological nanowires. The box…

介观与纳米尺度物理 · 物理学 2018-05-18 Matthias Gau , Stephan Plugge , Reinhold Egger

We investigate teleportation interference associated with the non-local character of Majorana zero modes (MZMs) as a probe of MZMs focusing on the tolerance of teleportation against disturbances, such as inhomogeneous potentials at…

介观与纳米尺度物理 · 物理学 2024-05-30 Tsukasa Goto , Masayuki Sugeta , Takeshi Mizushima , Satoshi Fujimoto

We theoretically investigate the transport and shot noise properties of a one-dimensional semiconducting nanowire with Rashba spin-orbit coupling~(SOC) placed in closed proximity to a bulk $s$-wave superconductor and an altermagnet with…

介观与纳米尺度物理 · 物理学 2025-03-06 Debashish Mondal , Amartya Pal , Arijit Saha , Tanay Nag

The simulation of quantum transport in a realistic, many-particle system is a nontrivial problem with no quantitatively satisfactory solution. While real-time propagation has the potential to overcome the shortcomings of conventional…

介观与纳米尺度物理 · 物理学 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

We explore the tunneling transport properties of a quantum dot embedded in an optical microcavity and coupled to a semiconductor-superconductor one-dimensional nanowire (Majorana nanowire) hosting Majorana zero modes (MZMs) at their edges.…

介观与纳米尺度物理 · 物理学 2022-02-09 L. S. Ricco , V. K. Kozin , A. C. Seridonio , I. A. Shelykh

The Majorana fermion, which is its own anti-particle and obeys non-abelian statistics, plays a critical role in topological quantum computing. It can be realized as a bound state at zero energy, called a Majorana zero mode (MZM), in the…