Towards a Geometrization of Quantum Complexity and Chaos

• URL: http://arxiv.org/abs/2107.06557v1
• Date: Wed, 14 Jul 2021 08:43:07 GMT
• Title: Towards a Geometrization of Quantum Complexity and Chaos
• Authors: Davide Rattacaso, Patrizia Vitale, and Alioscia Hamma
• Abstract summary: We show how the restriction of the Quantum Geometric to manifold of states that can be generated through local interactions provides a new tool to understand the consequences of locality in physics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this paper, we show how the restriction of the Quantum Geometric Tensor to manifolds of states that can be generated through local interactions provides a new tool to understand the consequences of locality in physics. After a review of a first result in this context, consisting in a geometric out-of-equilibrium extension of the quantum phase transitions, we argue the opportunity and the usefulness to exploit the Quantum Geometric Tensor to geometrize quantum chaos and complexity.

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