Majorana stellar representation
WebBy presenting the evolution of a quantum state with the trajectories of the Majorana stars on the Bloch sphere, the Majorana's stellar provides an intuitive geometric picture to study a quantum system with high-dimensional Hilbert space. We study the Berry phase and quantum entanglement by distributions and motions of these stars on the Bloch sphere. … WebComparing the results of the above with the QuTiP implementation, however, I find that they only match for integer spins, but not half-integer spins, aka for odd-dimensional systems, but not even dimensional systems. I've tried to code up a few other versions of the Majorana polynomial given in other papers, but the same problem seems to recur.
Majorana stellar representation
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WebIntroduction.-Recently, Majorana's stellar representation (MSR) has gained revived interest as it offers an intuitive geometrical approach to understanding quantum systems with multiple... WebJul 23, 2024 · Majorana's stellar representation For this spin-1 system, one convenient and intuitive way to study symmetry and dynamics of its quantum state is on the Bloch …
WebJun 26, 2014 · Abstract and Figures The Majorana's stellar representation, which represents the evolution of a quantum state with the trajectories of the Majorana stars on a Bloch sphere, provides an... WebJul 23, 2013 · For high-spin condensates, spin-orbit coupling leads to a spatially periodic structure, which is described in a Majorana representation by a set of points moving periodically on a unit sphere. We name this a “Majorana spinor helix,” in analogy to the persistent spin- 1 2 helix observed in electronic systems. Received 26 March 2013
Web1D Lieb lattice under Majorana s stellar representation Xingran Xu, Haodi Liu, Zhidong Zhang et al.-Majorana stellar representation for mixed-spin ( s, 1/2) systems Yu-Guo Su, , Fei Yao et al.-Bound fermion states in pinned vortices in the surface states of a superconducting topological insulator Haoyun Deng, N Bonesteel and P Schlottmann- WebIn fact, it was first proposed way back in 1932 by Ettore Majorana. The answer is both simple and elegant: a spin- j state can be represented by a constellation of 2 j points on …
WebOct 20, 2024 · Majorana stellar representation for mixed-spin ( s , 1/2) systems Authors: Yu-Guo Su Fei Yao Hong-Bin Liang Yan-Ming Che No full-text available ... can be …
WebMajorana’s stellar representation provides an intuitive picture in which quantum states in high-dimensional Hilbert space can be observed using the trajectory of Majorana stars. We consider... tic tac reinetteWebJan 23, 2024 · We examine Berry phase pertaining to purely quadrupolar state () of a spin- system. Using the Majorana stellar representation of these states, we provide a visualization for the topological (zero or ) nature of such quadrupolar Berry phase. tic tac red hotsthe low cuts short storyWebAug 1, 2024 · The Majorana stellar representation (MSR) is a method of decomposing N-band states into multiple 2-band states, which paves way for a more intuitive geometric understanding of N-band models. We utilise the MSR to obtain a new formula for the Berry curvature of 3-band models in terms of individual contributions from each star and cross … tic tac red appleWebJun 11, 2012 · The (Berry-Aharonov-Anandan) geometric phase acquired during a cyclic quantum evolution of finite-dimensional quantum systems is studied. It is shown that a pure quantum state in a (2 J + 1)-dimensional Hilbert space (or, equivalently, of a spin-J system) can be mapped onto the partition function of a gas of independent Dirac strings moving … the low cuts strike again pdfWebJun 22, 2012 · Majorana’s stellar representation, being purely geometric, allows quantum mechanics to be reconciled with the concept of “trajectory” which is the hallmark of … the low daily burlington wiWebNov 29, 2024 · generalization of the Majorana stellar representation for quantum mixed states, and it is amenable to any variational method with self-consistent symmetries and for any open ensemble of spinor-like particles. As an application of the formalism, we characterize the allowed phases in spin 1 and 2 Bose-Einstein the low darts