Kavli Affiliate: Yi Zhou | First 5 Authors: Yi Zhou, Mark van Hoeij, , , | Summary: Linear recurrence operators in characteristic $p$ are classified by their $p$-curvature. For a recurrence operator $L$, denote by $chi(L)$ the characteristic polynomial of its $p$-curvature. We can obtain information about the factorization of $L$ by factoring $chi(L)$. The […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Zhengren Wang, Yi Zhou, Mingyu Xiao, Bakhadyr Khoussainov, | Summary: Listing dense subgraphs in large graphs plays a key task in varieties of network analysis applications like community detection. Clique, as the densest model, has been widely investigated. However, in practice, communities rarely form as cliques for […]
Kavli Affiliate: Zheng Zhu | First 5 Authors: Qianqian Chen, Shuai A. Chen, Zheng Zhu, , | Summary: The recent discovery of persistent revivals in the Rydberg-atom quantum simulator has revealed a weakly ergodicity-breaking mechanism dubbed quantum many-body scars, which are a set of nonthermal states embedded in otherwise thermal spectra. Until now, such a […]
Kavli Affiliate: Xinan Zhou | First 5 Authors: Agnese Bissi, Aninda Sinha, Xinan Zhou, , | Summary: This review aims to offer a pedagogical introduction to the analytic conformal bootstrap program via a journey through selected topics. We review analytic methods which include the large spin perturbation theory, Mellin space methods and the Lorentzian inversion […]
Kavli Affiliate: Zheng Zhu | First 5 Authors: Shuai A. Chen, Qianqian Chen, Zheng Zhu, , | Summary: Recent realization of well-controlled quantum simulators of the triangular-lattice Fermi-Hubbard model, including the triangular optical lattices loaded with ultracold Fermions and the heterostructures of the transition-metal dichalcogenides, as well as the more advanced techniques to probe them, […]
Kavli Affiliate: Mamoru Matsuo | First 5 Authors: Hiroyuki Tajima, Daigo Oue, Mamoru Matsuo, Takeo Kato, | Summary: We theoretically propose a method to identify the tunneling current carrier in interacting fermions from nonequilibrium noise in the Bardeen-Cooper-Schrieffer to Bose–Einstein condensate crossover. The noise-to-current ratio, the Fano factor, can be a crucial probe for the […]
Kavli Affiliate: Cheng Peng | First 5 Authors: Ruijin Liu, Cheng Peng, Xiaoling Cui, , | Summary: Identifying few-body correlations is an efficient tool to solve complex many-body problems. The polarons, interpolating between few- and many-body systems, serve as an ideal platform to achieve the goal. In this work, we reveal various crystalline few-body correlations […]
Kavli Affiliate: Cheng Peng | First 5 Authors: Ruijin Liu, Cheng Peng, Xiaoling Cui, , | Summary: Identifying few-body correlations is an efficient tool to solve complex many-body problems. Polarons, interpolating between few- and many-body systems, serve as an ideal platform to achieve the goal. In this work, we reveal the emergence of various crystalline […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Quang Minh Nguyen, Hoang H. Nguyen, Yi Zhou, Lam M. Nguyen, | Summary: We study the Unbalanced Optimal Transport (UOT) between two measures of possibly different masses with at most $n$ components, where marginal constraints of the standard Optimal Transport (OT) are relaxed via Kullback-Leibler divergence with […]
Kavli Affiliate: Yi Zhou | First 5 Authors: Quang Minh Nguyen, Hoang H. Nguyen, Yi Zhou, Lam M. Nguyen, | Summary: We study the Unbalanced Optimal Transport (UOT) between two measures of possibly different masses with at most $n$ components, where the marginal constraints of standard Optimal Transport (OT) are relaxed via Kullback-Leibler divergence with […]