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Effects of clustering heterogeneity on the spectral density of sparse networks.
Phys Rev E
November 2024
Physics Institute, Federal University of Rio Grande do Sul, 91501-970 Porto Alegre, Brazil.
We derive exact equations for the spectral density of sparse networks with an arbitrary distribution of the number of single edges and triangles per node. These equations enable a systematic investigation of the effects of clustering on the spectral properties of the network adjacency matrix. In the case of heterogeneous networks, we demonstrate that the spectral density becomes more symmetric as the fluctuations in the triangle-degree sequence increase.
View Article and Find Full Text PDFExact-Two-Component Complete Active Space Method with Variational Treatment of Magnetic Field and Spin-Orbit Coupling: Application to X-ray Magnetic Circular Dichroism Spectroscopy.
J Chem Theory Comput
November 2024
Department of Chemistry, University of Washington, Seattle, Washington 98195, United States.
We introduce an exact-two-component complete active space self-consistent-field (X2C-CASSCF) method formulated under the restricted-magnetic-balance condition. This framework allows for the nonperturbative treatment of static magnetic fields using gauge-including atomic orbitals (GIAOs). The GIAO-X2C-CASSCF methodology effectively captures all microstates within the same 2 + 1-degenerate manifold and their splitting in a static magnetic field, which are not accessible through single-reference-based methods.
View Article and Find Full Text PDFEnvironment-mediated long-ranged correlations in many-body system.
J Chem Phys
September 2024
Institute for Complex Quantum Systems and IQST, Ulm University, Albert-Einstein-Allee 11, D-89069 Ulm, Germany.
Quantum states in complex aggregates are unavoidably affected by environmental effects, which typically cannot be accurately modeled by simple Markovian processes. As system sizes scale up, nonperturbative simulation becomes thus unavoidable, but they are extremely challenging due to the intimate interplay of intrinsic many-body interaction and time-retarded feedback from environmental degrees of freedom. In this work, we utilize the recently developed quantum dissipation with minimally extended state space approach to address reservoir induced long-ranged temporal correlations in finite size Ising-type spin chains.
View Article and Find Full Text PDFTracy-Widom Distribution in Four-Dimensional Supersymmetric Yang-Mills Theories.
Phys Rev Lett
July 2024
Institut de Physique Théorique, Université Paris Saclay, CNRS, 91191 Gif-sur-Yvette, France.
Various observables in different four-dimensional superconformal Yang-Mills theories can be computed exactly as Fredholm determinants of truncated Bessel operators. We exploit this relation to determine their dependence on the 't Hooft coupling constant. Unlike the weak coupling expansion, which has a finite radius of convergence, the strong coupling expansion is factorially divergent, necessitating the inclusion of nonperturbative, exponentially small corrections.
View Article and Find Full Text PDFSchwarzschild Black Hole from Perturbation Theory to All Orders.
Phys Rev Lett
June 2024
Asia Pacific Center for Theoretical Physics, Postech, Pohang 37673, Korea.
Applying the quantum field theoretic perturbiner approach to Einstein gravity, we compute the metric of a Schwarzschild black hole order by order in perturbation theory. Using recursion, this calculation can be carried out in de Donder gauge to all orders in Newton's constant. The result is a geometric series which is convergent outside a disk of finite radius, and it agrees within its region of convergence with the known de Donder gauge metric of a Schwarzschild black hole.
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