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In condensed matter physics, the Kitaev chain is a simplified model for a topological superconductor. It models a one dimensional lattice featuring Majorana bound states. The Kitaev chain have been used as a toy model of semiconductor nanowires for the development of topological quantum computers. … 展开
Hamiltonian
The tight binding Hamiltonian in of a Kitaev chain considers a one dimensional lattice with N site and spinless particles at zero temperature, subjected to nearest neighbour hoping … 展开One possible realization of Kitaev chains is using semiconductor nanowires with strong spin–orbit interaction to break spin-degeneracy, like indium antimonide or indium arsenide. A magnetic field can be applied to induce Zeeman coupling to spin polarize the wire and break 展开
CC-BY-SA 许可证中的维基百科文本 Majorana fermion | Wikipedia
In superconducting materials, a quasiparticle can emerge as a Majorana fermion (non-fundamental), more commonly referred to as a Bogoliubov quasiparticle in condensed matter physics. Its existence becomes possible because a quasiparticle in a superconductor is its own antiparticle.
Mathematically, the superconductor imposes electron hole "symmetry" on the quasiparticle excit…Wikipedia · CC-BY-SA 许可下的文字- 预计阅读时间：12 分钟
Sachdev–Ye–Kitaev model | Wikipedia
网页In condensed matter physics and black hole physics, the Sachdev–Ye–Kitaev (SYK) model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye, [1] and …
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[2009.01078] From Ising model to Kitaev Chain -- An introduction …
网页2020年8月30日 · In this general article, we map the one-dimensional transverse field quantum Ising model of ferromagnetism to Kitaev's one-dimensional p-wave …
Kitaev Chain - 知乎 | 知乎专栏
网页这篇文章介绍一个拓扑超导体的经典模型——Kitaev Chain. 引入 c_x 算符，用于描述在N位链上跃迁并表现出远距离有序p波超导性的无自旋费米子: H = -\mu\sum_xc_x^ {\dagger}c_x-\frac {1} {2}\sum_x (tc_x^ {\dagger}c_ …
Optomechanical realization of the bosonic Kitaev chain | Nature
网页2024年3月27日 · We report the experimental realization of a bosonic Kitaev chain in a nano-optomechanical network. The fermionic Kitaev chain is a canonical model featuring …
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Realization of a minimal Kitaev chain in coupled quantum dots
网页2023年2月15日 · A minimal artificial Kitaev chain can be realized by using two spin-polarized quantum dots in an InSb nanowire strongly coupled by both elastic co …
Exactly solving the Kitaev chain and generating Majorana-zero
网页2022年11月18日 · Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own …
网页The experimental ndings in the Rydberg chain can be well captured by a kinetically constrained model called the \PXP" model, which has been shown to host the Eigenstate …
study note：1D Kitaev Chain - 知乎 | 知乎专栏
网页N-site的1D的Kitaev Chain，其Hamiltonian为 H=-\mu\sum_n c_n^\dagger c_n-t\sum_n(c_{n+1}^\dagger c_n+\text{h.c.})+\Delta\sum_n(c_nc_{n+1}+\text{h.c.}) 最后一项是类似于 …
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