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.
Towards a Geometrization of Quantum Complexity and Chaos / Rattacaso, D.; Vitale, P.; Hamma, A.. - 12829:(2021), pp. 163-171. [10.1007/978-3-030-80209-7_19]
Towards a Geometrization of Quantum Complexity and Chaos
Rattacaso D.;Vitale P.;Hamma A.
2021
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.File | Dimensione | Formato | |
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