Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet

Theoretical studies of quantum phase transitions have suggested critical points with higher symmetries than those of the underlying Hamiltonian. Here we demonstrate a surprising emergent symmetry of the coexistence state at a strongly discontinuous phase transition between two ordered ground states. We present a quantum Monte Carlo study of a two-dimensional S=1/2 quantum magnet hosting the antiferromagnetic (AFM) and plaquette-singlet solid (PSS) states recently detected in SrCu2(BO3)2. We observe that the O(3) symmetric AFM order and the Z2 symmetric PSS order form an O(4) vector at the transition. The control parameter g (a coupling ratio) rotates the vector between the AFM and PSS sectors and there are no energy barriers between the two at the transition point gc. This phenomenon may be observable in SrCu2(BO3)2.First author draf

Master of Science

thesisWe identify an interdecadal oscillatory mode of the North Atlantic atmosphere-ocean system via a Linear Inverse Model (LIM). This mode is shown to be related to the interior pathway propagation of Atlantic Meridional Overturning Circulation (AMOC) anomalies. The oscillation is an ocean-only mode while excited by atmospheric forcing; in particular, it can be approximated as a linearly driven damped oscillator while the North Atlantic Oscillation (NAO) acts as part of the ''external" force. We also show that the influence of NAO-induced surface wind stress forcing quickly damps while the NAO-induced deep flow anomaly, integrating with ocean topography, plays a crucial role in this interdecadal mode. Including such deep ocean dynamics besides surface temperature (SST) significantly improves and prolongs the LIM's prediction skill of SST evolution

Research on Effects of Chinese Current Tax System Adjustment on Income Distribution of Urban Residents

This article analyzes the adjustment effect of Chinese current tax system on income gap among urban residents, using statistical and econometric research methods, and a series of the Gini coefficient, income equality index and etc. to calculate and compare income disparity of urban residents in the existing tax system. The research result shows that the existing tax system has hardly any effect on income distribution of urban residents. Thus the last part of this article puts forward some suggestions to the government on how to reform currently tax system in order to improve people's livelihood, and promote harmonious development. Key words: Tax system; Income gap; Adjustment effects Résumé: Cet article analyse l'effet de l'ajustement de l'actuel régime fiscal chinois sur l'écart des revenus entre les habitants urbains, en utilisant des méthodes de recherche statistique et économétrique, ainsi qu'une série de coefficients de Gini, l'indice de l'égalité des revenus afin de calculer et de comparer les disparités de revenus des résidents urbains dans la l'actuel régime fiscal. Le résultat de la recherche montre que le système fiscal actuel n'a guère d'effet sur la répartition des revenus des résidents urbains. Ainsi, la dernière partie de cet article met en avant quelques suggestions au gouvernement sur la façon de réformer l'actuel système fiscal en vue d'améliorer la vie du peuple, et de promouvoir un développement harmonieux. Mots-clés: Système fiscal; Écart des revenues; Effets d'ajustemen

Reconstructing 3D Human Pose from RGB-D Data with Occlusions

We propose a new method to reconstruct the 3D human body from RGB-D images with occlusions. The foremost challenge is the incompleteness of the RGB-D data due to occlusions between the body and the environment, leading to implausible reconstructions that suffer from severe human-scene penetration. To reconstruct a semantically and physically plausible human body, we propose to reduce the solution space based on scene information and prior knowledge. Our key idea is to constrain the solution space of the human body by considering the occluded body parts and visible body parts separately: modeling all plausible poses where the occluded body parts do not penetrate the scene, and constraining the visible body parts using depth data. Specifically, the first component is realized by a neural network that estimates the candidate region named the "free zone", a region carved out of the open space within which it is safe to search for poses of the invisible body parts without concern for penetration. The second component constrains the visible body parts using the "truncated shadow volume" of the scanned body point cloud. Furthermore, we propose to use a volume matching strategy, which yields better performance than surface matching, to match the human body with the confined region. We conducted experiments on the PROX dataset, and the results demonstrate that our method produces more accurate and plausible results compared with other methods

On the genesis and dynamics of Madden–Julian oscillation‐like structure formed by equatorial adjustment of localized heating

By means of a new multilayer pseudo‐spectral moist‐convective thermal rotating shallow‐water (mcTRSW) model in a full sphere, we present a possible equatorial adjustment beyond Gill's mechanism for the genesis and dynamics of the Madden–Julian oscillation (MJO). According to this theory, an eastward‐propagating MJO‐like structure can be generated in a self‐sustained and self‐propelled manner due to nonlinear relaxation (adjustment) of a large‐scale positive buoyancy anomaly, depressed anomaly, or a combination of these, as soon as this anomaly reaches a critical threshold in the presence of moist convection at the Equator. This MJO‐like episode possesses a convectively coupled “hybrid structure” that consists of a “quasi‐equatorial modon” with an enhanced vortex pair and a convectively coupled baroclinic Kelvin wave (BKW), with greater phase speed than that of dipolar structure on an intraseasonal time‐scale. Interaction of the BKW, after circumnavigating the entire Equator, with a new large‐scale buoyancy anomaly may contribute to excitation of a recurrent generation of the next cycle of MJO‐like structure. Overall, the generated “hybrid structure” captures a few of the crudest features of the MJO, including its quadrupolar structure, convective activity, condensation patterns, vorticity field, phase speed, and westerly and easterly inflows in the lower and upper troposphere. Although moisture‐fed convection is a necessary condition for the “hybrid structure” to be excited and maintained in the proposed theory in this study, it is fundamentally different from moisture‐mode theories, because the barotropic equatorial modon and BKW also exist in “dry” environments, while there are no similar “dry” dynamical basic structures in moisture‐mode theories. The proposed theory can therefore be a possible mechanism to explain the genesis and backbone structure of the MJO and to converge some theories that previously seemed divergent. By means of a new multilayer pseudo‐spectral moist‐convective thermal rotating shallow‐water model in a full sphere, we present a mechanism in which geostrophic adjustment of large‐scale localized heating in the lower troposphere over the equatorial zone can lead to generation of a structure similar to that of the Madden–Julian oscillation

ZeroGen: Zero-shot Multimodal Controllable Text Generation with Multiple Oracles

Automatically generating textual content with desired attributes is an ambitious task that people have pursued long. Existing works have made a series of progress in incorporating unimodal controls into language models (LMs), whereas how to generate controllable sentences with multimodal signals and high efficiency remains an open question. To tackle the puzzle, we propose a new paradigm of zero-shot controllable text generation with multimodal signals (\textsc{ZeroGen}). Specifically, \textsc{ZeroGen} leverages controls of text and image successively from token-level to sentence-level and maps them into a unified probability space at decoding, which customizes the LM outputs by weighted addition without extra training. To achieve better inter-modal trade-offs, we further introduce an effective dynamic weighting mechanism to regulate all control weights. Moreover, we conduct substantial experiments to probe the relationship of being in-depth or in-width between signals from distinct modalities. Encouraging empirical results on three downstream tasks show that \textsc{ZeroGen} not only outperforms its counterparts on captioning tasks by a large margin but also shows great potential in multimodal news generation with a higher degree of control. Our code will be released at https://github.com/ImKeTT/ZeroGen.Comment: 17 pages, preprin

Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet

Theoretical studies of quantum phase transitions have suggested critical points with higher symmetries than those of the underlying Hamiltonian. Here we demonstrate a surprising emergent symmetry of the coexistence state at a strongly discontinuous phase transition between two ordered ground states. We present a quantum Monte Carlo study of a two-dimensional $S=1/2$ quantum magnet hosting the antiferromagnetic (AFM) and plaquette-singlet solid (PSS) states recently detected in SrCu$_2$(BO$_3$)$_2$. We observe that the O(3) symmetric AFM order and the Z$_2$ symmetric PSS order form an O(4) vector at the transition. The control parameter $g$ (a coupling ratio) rotates the vector between the AFM and PSS sectors and there are no energy barriers between the two at the transition point $g_c$. This phenomenon may be observable in SrCu$_2$(BO$_3$)$_2$.Comment: 12 pages, 12 figure