Explore the vast range of titles available.

Due to the fundamental position of spin-orbit coupled ultracold atoms in the simulation of topological insulators, the gain/loss effects on these systems should be evaluated when considering the measurement or the coupling to the environment. Here, incorporating the mature gain/loss techniques into the experimentally realized spin-orbit coupled ultracold atoms in two-dimensional optical lattices, we investigate the corresponding non-Hermitian tight-binding model and evaluate the gain/loss effects on various properties of the system, revealing the interplay of the non-Hermiticity and the spin-orbit coupling. Under periodic boundary conditions, we analytically obtain the topological phase diagram, which undergoes a non-Hermitian gapless interval instead of a point that the Hermitian counterpart encounters for a topological phase transition. We also unveil that the band inversion is just a necessary but not sufficient condition for a topological phase in two-level spin-orbit coupled non-Hermitian systems. Because the nodal loops of the upper or lower two dressed bands of the Hermitian counterpart can be split into exceptional loops in this non-Hermitian model, a gauge-independent Wilson-loop method is developed for numerically calculating the Chern number of multiple degenerate complex bands. Under open boundary conditions, we find that the conventional bulk-boundary correspondence does not break down with only on-site gain/loss due to the lack of non-Hermitian skin effect, but the dissipation of chiral edge states depends on the boundary selection, which may be used in the control of edge-state dynamics. Given the technical accessibility of state-dependent atom loss, this model could be realized in current cold-atom experiments.

Due to the fundamental position of spin-orbit coupled ultracold atoms in the simulation of topological insulators, the gain/loss effects on these systems should be evaluated when considering the measurement or the coupling to the environment. Here, incorporating the mature gain/loss techniques into the experimentally realized spin-orbit coupled ultracold atoms in two-dimensional optical lattices, we investigate the corresponding non-Hermitian tight-binding model and evaluate the gain/loss effects on various properties of the system, revealing the interplay of the non- Hermiticity and the spin-orbit coupling. Under periodic boundary conditions, we analytically obtain the topological phase diagram, which undergoes a non-Hermitian gapless interval instead of a point that the Hermitian counterpart encounters for a topological phase transition. We also unveil that the band inversion is just a necessary but not sufficient condition for a topological phase in two-level spin-orbit coupled non-Hermitian systems. Because the nodal loops of the upper or lower two dressed bands of the Hermitian counterpart can be split into exceptional loops in this non-Hermitian model, a gauge-independent Wilson-loop method is developed for numerically calculating the Chem number of multiple degenerate complex bands. Under open boundary conditions, we find that the conventional bulk-boundary correspondence does not break down with only on-site gain/loss due to the lack of non-Hermitian skin effect, but the dissipation of chiral edge states depends on the boundary selection, which may be used in the control of edge-state dynamics. Given the technical accessibility of state-dependent atom loss, this model could be realized in current cold-atom experiments. spin-orbit coupled ultracold atoms, exceptional loop, Wilson-loop method, non-Hermitian non-Abelian Berry curvature PACS number(s): 03.75.-b, 03.65.-w, 02.40.-k, 73.21.-b

The Lyapunov exponent, serving as an indicator of the localized state, is commonly utilized to identify localization transitions in disordered systems. In non-Hermitian quasicrystals, the non-Hermitian effect induced by non-reciprocal hopping can lead to the manifestation of two distinct Lyapunov exponents on opposite sides of the localization center. Building on this observation, we here introduce a comprehensive approach for examining the localization characteristics and mobility edges of non-reciprocal quasicrystals, referred to as asymmetric transfer matrix analysis. We demonstrate the application of this method to three specific scenarios: the non-reciprocal Aubry-André model, the non-reciprocal off-diagonal Aubry-André model, and the non-reciprocal mosaic quasicrystals. This work may contribute valuable insights to the investigation of non-Hermitian quasicrystal and disordered systems.

We study the nonlinear perturbation of a high-order exceptional point (EP) of the order equal to the system site number \\(L\\) in a Hatano-Nelson model with unidirectional hopping and Kerr nonlinearity. Notably, We find a class of discrete breathers that aggregate to one boundary, here named as {\\it skin discrete breathers} (SDBs). The nonlinear spectrum of these SDBs shows a hierarchical power-law scaling near the EP. Specifically, the response of nonlinear energy to the perturbation is given by \\(E_m\\propto \\varGamma^{\\alpha_{m}}\\), where \\(\\alpha_m=3^{m-1}\\) is the power with \\(m=1,\\cdots,L\\) labeling the nonlinear energy bands. This is in sharp contrast to the \\(L\\)-th root of a linear perturbation in general. These SDBs decay in a double-exponential manner, unlike the edge states or skin modes in linear systems, which decay exponentially. Furthermore, these SDBs can survive over the full range of nonlinearity strength and are continuously connected to the self-trapped states in the limit of large nonlinearity. They are also stable, as confirmed by a defined nonlinear fidelity of an adiabatic evolution from the stability analysis. As nonreciprocal nonlinear models may be experimentally realized in various platforms, such as the classical platform of optical waveguides, where Kerr nonlinearity is naturally present, and the quantum platform of optical lattices with Bose-Einstein condensates, our analytical results may inspire further exploration of the interplay between nonlinearity and non-Hermiticity, particularly on high-order EPs, and benchmark the relevant simulations.

For non-Hermitian quantum models, the dynamics is apparently not reflected by the static properties, e.g., the complex energy spectrum, because of the nonorthogonality of the right eigenvectors, the nonunitarity of the time evolution, the breakdown of the adiabatic theory, etc., but in experiments the time evolution of an initial state is commonly used. Here, we pay attention to the dynamics of an initial end state in nonreciprocal Su-Schrieffer-Heeger models under open boundary conditions, and we find that it is dynamically more robust than its Hermitian counterpart, because the non-Hermitian skin effect can suppress the part leaking to the bulk sites. To observe this, we propose a classical electric circuit with only a few passive inductors and capacitors, the mapping of which to the quantum model is established. This work explains how the non-Hermitian skin effect enhances the robustness of the topological end state, and it offers an easy way, via the classical electric circuit, of studying the nonreciprocal quantum dynamics, which may stimulate more dynamical studies of non-Hermitian models in other platforms.

Due to the fundamental position of spin-orbit coupled ultracold atoms in the simulation of topological insulators, the gain/loss effects on these systems should be evaluated when considering the measurement or the coupling to the environment. Here, incorporating the mature gain/loss techniques into the experimentally realized spin-orbit coupled ultracold atoms in two-dimensional optical lattices, we investigate the corresponding non-Hermitian tight-binding model and evaluate the gain/loss effects on various properties of the system, revealing the interplay of the non-Hermiticity and the spin-orbit coupling. Under periodic boundary conditions, we analytically obtain the topological phase diagram, which undergoes a non-Hermitian gapless interval instead of a point that the Hermitian counterpart encounters for a topological phase transition. We also unveil that the band inversion is just a necessary but not sufficient condition for a topological phase in two-level spin-orbit coupled non-Hermitian systems. Because the nodal loops of the upper or lower two dressed bands of the Hermitian counterpart can be split into exceptional loops in this non-Hermitian model, a gauge-independent Wilson-loop method is developed for numerically calculating the Chern number of multiple degenerate complex bands. Under open boundary conditions, we find that the conventional bulk-boundary correspondence does not break down with only on-site gain/loss due to the lack of non-Hermitian skin effect, but the dissipation of chiral edge states depends on the boundary selection, which may be used in the control of edge-state dynamics. Given the technical accessibility of state-dependent atom loss, this model could be realized in current cold-atom experiments.

Distr ibuted stochastic gradient descent and its variants have been widely adopted in the training of machine learning models, which apply multiple workers in parallel. Among them, local-based algorithms, including Local SGD and FedAvg, have gained much attention due to their superior properties, such as low communication cost and privacy-preserving. Nevertheless, when the data distribution on workers is non-identical, local-based algorithms would encounter a significant degradation in the convergence rate. In this paper, we propose Variance Reduced Local SGD (VRL-SGD) to deal with the heterogeneous data. Without extra communication cost, VRL-SGD can reduce the gradient variance among workers caused by the heterogeneous data, and thus it prevents local-based algorithms from slow convergence rate. Moreover, we present VRL-SGD-W with an effective warm-up mechanism for the scenarios, where the data among workers are quite diverse. Benefiting from eliminating the impact of such heterogeneous data, we theoretically prove that VRL-SGD achieves a linear iteration speedup with lower communication complexity even if workers access non-identical datasets. We conduct experiments on three machine learning tasks. The experimental results demonstrate that VRL-SGD performs impressively better than Local SGD for the heterogeneous data and VRL-SGD-W is much robust under high data variance among workers.

Recently advancements in deep learning models have significantly facilitated the development of sequential recommender systems (SRS). However, the current deep model structures are limited in their ability to learn high-quality embeddings with insufficient data. Meanwhile, highly skewed long-tail distribution is very common in recommender systems. Therefore, in this paper, we focus on enhancing the representation of tail items to improve sequential recommendation performance. Through empirical studies on benchmarks, we surprisingly observe that both the ranking performance and training procedure are greatly hindered by the poorly optimized tail item embeddings. To address this issue, we propose a sequential recommendation framework named TailRec that enables contextual information of tail item well-leveraged and greatly improves its corresponding representation. Given the characteristics of the sequential recommendation task, the surrounding interaction records of each tail item are regarded as contextual information without leveraging any additional side information. This approach allows for the mining of contextual information from cross-sequence behaviors to boost the performance of sequential recommendations. Such a light contextual filtering component is plug-and-play for a series of SRS models. To verify the effectiveness of the proposed TailRec, we conduct extensive experiments over several popular benchmark recommenders. The experimental results demonstrate that TailRec can greatly improve the recommendation results and speed up the training process. The codes of our methods have been available See github.com/Mingyue-Cheng/TailRec website. .

The aim of the current study was to investigate the regulatory effect of sericin on the hepatic insulin-phosphoinositide 3-kinase (PI3K)/protein kinase B (AKT) signaling pathway in a type 2 diabetes rat model. Male Sprague Dawley rats were randomly divided into four groups: Control group, diabetic model group, high-dose sericin group and low-dose sericin group, with 12 rats in each group. Fasting blood glucose was detected by the glucose oxidase method, and hepatic glycogen was determined by periodic acid-Schiff staining. The morphology of the liver was observed by hematoxylin and eosin staining. Immunohistochemical staining, western blotting and reverse transcription-quantitative polymerase chain reaction were used to determine the protein and mRNA expression levels of insulin receptor (IR), IR substrate-1 (IRS-1), PI3K and AKT. Compared with the control group, the blood glucose of the diabetic model group was significantly increased (P<0.05). The glycogen content and the expression levels of IR, IRS-1, PI3K and AKT in the diabetic model group were significantly lower (P<0.05), and the liver morphological structure of the diabetic model group exhibited obvious pathological changes compared with the control group. Compared with the diabetic model group, the blood glucose of the high- and low-dose sericin groups was significantly reduced, while the glycogen content and the expression levels of IR, IRS-1, PI3K and AKT in the sericin treatment groups were significantly increased (P<0.05). Additionally, the liver pathological changes of high-dose and low-dose sericin groups were markedly reduced. Sericin may enhance the signaling transduction effect of insulin by upregulating the expression levels of key factors (IR, IRS-1, PI3K and AKT) in the liver insulin-PI3K/AKT signaling pathway, thus promoting glucose transport and liver glycogen synthesis, and further reducing blood glucose.

TRIM28 is a universal corepressor for Kruppel-associated box zinc finger proteins. In this study, we demonstrated the expression of TRIM28 gene was significantly higher in cancerous tissues than in noncancerous tissues (P<0.001). TRIM28 knockdown resulted in a decrease in cell proliferation in liquid media as well as in soft agar. The proliferation rate was impaired and the cell cycle progression was inhibited after knockdown of TRIM28 in non-small cell lung cancer cell lines PAa and SK-MES-1. We used real-time polymerase chain reaction to detect circulating cancer cells in 138 non-small cell lung cancer patients. The overall positive detection rate was 30.4% (42 of 138) in peripheral blood of NSCLC patients and was 29.9% (29 of 97) in early-stage patients. In a 70-month follow-up study, 20 of 29 patients (69.0%) in TRIM28 positive group had recurrence and/or metastasis, significantly higher (P=0.004) than in the TRIM28 negative group (25 of 68, 36.8%). In addition, non-small cell lung cancer patients whose circulating cancer cells expressed TRIM28 suffered shorter tumor-specific survival compared with those with absent TRIM28 expression (P<0.001). Results of our study showed that TRIM28 provides a survival advantage to lung cancer cells and may be a new marker to predict metastasis and prognosis in early-stage non-small cell lung cancer patients.