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It is pointed out that there are some fundamental difficulties with the frequently used continuous-time formalism of the spin-coherent-state path integral. They arise already in a single-spin system and at the level of the "classical…

Quantum Physics · Physics 2009-10-31 Junya Shibata , Shin Takagi

We investigate the ground states of spin-$S$ Kitaev ladders using exact analytical solutions (for $S = 1/2$), perturbation theory, and the density matrix renormalization group (DMRG) method. We find an even-odd effect: in the case of…

Strongly Correlated Electrons · Physics 2023-11-28 Yushao Chen , Yin-Chen He , Aaron Szasz

The spinor condensate with spin states degenerated in the ground spin-space provides a unique platform for investigating the edge of quantum mechanics and statistical physics. We study the evolution of the condensate under the scattering of…

Quantum Gases · Physics 2020-04-15 Yixin Xu , Zhongda Zeng , Zbignew Domanski , Zhibing Li

We prove the equality between the statistics phase and the conformal univalence for a superselection sector with finite index in Conformal Quantum Field Theory on $S^1$. A relevant point is the description of the PCT symmetry and the…

High Energy Physics - Theory · Physics 2014-11-18 Daniele Guido , Roberto Longo

A two-leg spin-1/2 ladder with diagonal interactions is investigated numerically. We focus our attention on the possibility of columnar dimer phase, which was recently predicted based on a reformulated bosonization theory. By using density…

Strongly Correlated Electrons · Physics 2007-05-23 Hsiang-Hsuan Hung , Chang-De Gong , Yung-Chung Chen , Min-Fong Yang

We reply to the criticism from the authors of arXiv:1502.02782 of the spin-fluctuation scenario for charge order in the cuprates. The authors of of arXiv:1502.02782 argued that spin-fluctuation exchange cannot give rise to charge order with…

Strongly Correlated Electrons · Physics 2015-03-02 Yuxuan Wang , Andrey Chubukov

Motivated by the recent experimental observation of multi-component spinor condensates via a time-dependent quadrupole-Ioffe-configuration trap (QUIC trap), we provide a general framework for the investigation of nonadiabatic Landau-Zener…

Statistical Mechanics · Physics 2009-11-11 P. Zhang , Z. Xu , L. You

We study the scattering problem in the static patch of de Sitter space, i.e. the problem of field evolution between the past and future horizons of a de Sitter observer. We calculate the leading-order scattering for a conformally massless…

High Energy Physics - Theory · Physics 2021-03-31 Emil Albrychiewicz , Yasha Neiman

We experimentally study spin dynamics in a sodium antiferromagnetic spinor condensate with off-resonant microwave pulses. In contrast to a magnetic field, a microwave dressing field enables us to explore rich spin dynamics under the…

Quantum Gases · Physics 2014-02-13 L. Zhao , J. Jiang , T. Tang , M. Webb , Y. Liu

In this brief article we discuss spin polarization operators and spin polarization states of 2+1 massive Dirac fermions and find a convenient representation by the help of 4-spinors for their description. We stress that in particular the…

High Energy Physics - Theory · Physics 2009-11-13 S. P. Gavrilov , D. M. Gitman , J. L. Tomazelli

We give an argument that a broad class of geometric models of spinning relativistic particles with Casimir mass and spin being separately fixed parameters, have indeterminate worldline (while other spinning particles have definite…

Mathematical Physics · Physics 2012-02-10 Łukasz Bratek

In a previous work we showed that spin can be envisioned as living in a phase space that is dual to the standard phase space of position and momentum. In this work we demonstrate that the second class constraints inherent in this "Dual…

High Energy Physics - Theory · Physics 2016-12-05 Trevor Rempel , Laurent Freidel

We discuss magnetic excitations of a spin-cluster model which has been suggested to describe the low temperature phase of alpha'-NaV_2O_5. This model fulfills all symmetry criteria proposed by recent x-ray investigations. We find that this…

Strongly Correlated Electrons · Physics 2008-03-26 Simon Trebst , Anirvan Sengupta

We analyze the structure of spin-1 Bose-Einstein condensates in the presence of a homogenous magnetic field. We classify the homogenous stationary states and study their existence, bifurcations, and energy spectra. We reveal that the phase…

Quantum Gases · Physics 2009-09-01 Michal Matuszewski , Tristram J. Alexander , Yuri S. Kivshar

This paper reviews some recent work on (s)pin structures and the Dirac operator on hypersurfaces (in particular, on spheres), on real projective spaces and quadrics. Two approaches to spinor fields on manifolds are compared. The action of…

High Energy Physics - Theory · Physics 2010-12-13 Andrzej Trautman

Given a countable set of sites and a collection of flip rates at each site, we give a sufficient condition on the long-range dependancies of the flip rates ensuring the well-definedness of the corresponding spin system. This hypothesis has…

Probability · Mathematics 2012-11-07 François Ezanno

The gauge theory of spin glasses and statistical-mechanical formulation of error-correcting codes are reviewed with an emphasis on their similarities. For the gauge theory, we explain the functional identities on dynamical autocorrelation…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hidetoshi Nishimori

We consider SPT-phases with on-site finite group $G$ symmetry for two-dimensional Fermion systems.We derive an invariant of the classification.

Mathematical Physics · Physics 2022-08-10 Yoshiko Ogata

We investigate spin-flip processes of Si quantum dots due to spin-orbit coupling. We utilize the spin-orbit coupling constants related to bulk and structure inversion asymmetry obtained numerically for two dimensional heterostructures. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Prada , R. H. Blick , R. Joynt

We state a Yoneda-type lemma which leads to various functor categories being compact closed.

Category Theory · Mathematics 2007-05-23 Brian J. Day