analiza aiqbench
This paper presents a unified framework for constructing exact local integrals of motion, specifically addressing many-body localization (MBL) by framing the search as an optimization problem linked to spin-glass ground states. The work establishes significant theoretical connections between disordered quantum systems and constrained optimization, advancing our understanding of conservation laws in complex quantum dynamics.
Unified theory of local integrals of motion
arXiv:2512.09595v2 Announce Type: replace-cross Abstract: Conservation laws are of paramount importance in our understanding of classical and quantum dynamics. Here, we present a general framework for constructing exact quantum integrals of motion with the desired locality and quantum numbers, which will be illustrated for the case of many-body-localization (MBL). The latter has been understood theoretically in terms of the existence of an extensive number of local integrals of motion (LIOMs). Using our approach, we show that one can express the task of finding LIOMs as an optimization problem. For some specifications, this problem surprisingly connects to the question of finding classical ground states of spin-glass models. Our work unifies previous results obtained in the MBL context and reveals intriguing connections between many-body localization, spin-glass physics, and constrained optimization problems.
Abstract:Conservation laws are of paramount importance in our understanding of classical and quantum dynamics. Here, we present a general framework for constructing exact quantum integrals of motion with the desired locality and quantum numbers, which will be illustrated for the case of many-body-localization (MBL). The latter has been understood theoretically in terms of the existence of an extensive number of local integrals of motion (LIOMs). Using our approach, we show that one can express the task of finding LIOMs as an optimization problem. For some specifications, this problem surprisingly connects to the question of finding classical ground states of spin-glass models. Our work unifies previous results obtained in the MBL context and reveals intriguing connections between many-body localization, spin-glass physics, and constrained optimization problems.
Disordered Systems and Neural Networks (cond-mat.dis-nn); Mathematical Physics (math-ph); Quantum Physics (quant-ph)
arXiv:2512.09595 [cond-mat.dis-nn]
(or arXiv:2512.09595v2 [cond-mat.dis-nn] for this version)
https://doi.org/10.48550/arXiv.2512.09595 Focus to learn more arXiv-issued DOI via DataCite
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Text integral sub licența deschisă a publicației · 225 cuvinte
