Zobrazeno 1 - 10
of 26 710
pro vyhledávání: '"Krylov, A. P."'
We investigate the Krylov complexity of thermofield double states in systems with mixed phase space, uncovering a direct correlation with the Brody distribution, which interpolates between Poisson and Wigner statistics. Our analysis spans two-dimensi
Externí odkaz:
http://arxiv.org/abs/2412.04963
Autor:
Chen, Cecilia, Urschel, John
Krylov subspace methods are a powerful tool for efficiently solving high-dimensional linear algebra problems. In this work, we study the approximation quality that a Krylov subspace provides for estimating the numerical range of a matrix. In contrast
Externí odkaz:
http://arxiv.org/abs/2411.19165
Autor:
Li, Zhuoran, Fan, Wei
Recently the Krylov operator complexity is proposed to evaluate the operator growth in quantum systems, and the variance of its Lanzcos coefficients is used as an important parameter for chaos. In this paper, we generate samples of random initial ope
Externí odkaz:
http://arxiv.org/abs/2411.18436
Autor:
Zhai, Ke-Hong, Liu, Lei-Hua
The Lanczos algorithm offers a method for constructing wave functions for both closed and open systems based on their Hamiltonians. Given that the entire early universe is fundamentally an open system, we apply the Lanczos algorithm to investigate Kr
Externí odkaz:
http://arxiv.org/abs/2411.18405
Autor:
He, Peng-Zhang, Zhang, Hai-Qing
We investigate the Krylov complexity in the context of Schr\"odinger field theory in the grand canonic ensemble for the bosonic and fermionic cases. Specifically, we find that the Lanczos coefficients $\{a_{n}\}$ and $\{b_{n}\}$ satisfy the linear re
Externí odkaz:
http://arxiv.org/abs/2411.16302
We propose a novel tridiagonalization approach for non-Hermitian random matrices and Hamiltonians using singular value decomposition (SVD). This technique leverages the real and non-negative nature of singular values, bypassing the complex eigenvalue
Externí odkaz:
http://arxiv.org/abs/2411.09309
Autor:
Fan, Zhong-Ying
In this work, we relate the growth rate of Krylov complexity in the boundary to the radial momentum of an infalling particle in AdS geometry. We show that in general AdS black hole background, our proposal captures the universal behaviors of Krylov c
Externí odkaz:
http://arxiv.org/abs/2411.04492
Autor:
Yeh, Hsiu-Chung, Mitra, Aditi
Recursion methods such as Krylov techniques map complex dynamics to an effective non-interacting problem in one dimension. For example, the operator Krylov space for Floquet dynamics can be mapped to the dynamics of an edge operator of the one-dimens
Externí odkaz:
http://arxiv.org/abs/2410.15223
Many optimization problems require hyperparameters, i.e., parameters that must be pre-specified in advance, such as regularization parameters and parametric regularizers in variational regularization methods for inverse problems, and dictionaries in
Externí odkaz:
http://arxiv.org/abs/2412.08264
We extend the ``complexity=volume" (CV) conjecture in the wormhole to the quantum states in the framework of information geometry. In particular, we conjecture that Krylov complexity equals the volume of the Fubini-Study metric in the information geo
Externí odkaz:
http://arxiv.org/abs/2412.08925