Exploring quantum ergodicity of unitary evolution through the Krylov approach
- URL: http://arxiv.org/abs/2407.06428v1
- Date: Mon, 8 Jul 2024 22:16:31 GMT
- Title: Exploring quantum ergodicity of unitary evolution through the Krylov approach
- Authors: Gastón F. Scialchi, Augusto J. Roncaglia, Carlos Pineda, Diego A. Wisniacki,
- Abstract summary: We show that Krylov complexity is robust for observing the transition from integrability to chaos in both autonomous and kicked systems.
Examples from random matrix theory and spin chains are shown in this paper.
- Score: 0.46873264197900916
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In recent years there has been growing interest in characterizing the complexity of quantum evolutions of interacting many-body systems. When the dynamics is governed by a time-independent Hamiltonian, Krylov complexity has emerged as a powerful tool. For unitary evolutions like kicked systems or Trotterized dynamics, a similar formulation based on the Arnoldi approach has been proposed (P. Suchsland, R. Moessner, and P. W. Claeys, (2023), arXiv:2308.03851). In this work, we show that this formulation is robust for observing the transition from integrability to chaos in both autonomous and kicked systems. Examples from random matrix theory and spin chains are shown in this paper.
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