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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Dynamical chaotic phases and constrained quantum dynamics

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Autor(es):
Timpanaro, Andre M. [1] ; Wald, Sascha [2, 3] ; Semiao, Fernando [1] ; Landi, Gabriel T. [4]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Univ Fed ABC, BR-09210580 Santo Andre - Brazil
[2] SISSA Int Sch Adv Studies, Via Bonotnea 265, I-34136 Trieste - Italy
[3] Ist Nazl Fis Nucl, Via Bonotnea 265, I-34136 Trieste - Italy
[4] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: Physical Review A; v. 100, n. 1 JUL 15 2019.
Citações Web of Science: 0
Resumo

In classical mechanics, external constraints on the dynamical variables can be easily implemented within the Lagrangian formulation. Conversely, the extension of this idea to the quantum realm, which dates back to Dirac, has proven notoriously difficult due to the noncommutativity of observables. Motivated by recent progress in the experimental control of quantum systems, we propose a framework for the implementation of quantum constraints based on the idea of work protocols, which are dynamically engineered to enforce the constraints. As a proof of principle, we consider the dynamical mean-field approach of the many-body quantum spherical model, which takes the form of a quantum harmonic oscillator plus constraints on the first and second moments of one of its quadratures. The constraints of the model are implemented by the combination of two work protocols, coupling together the first and second moments of the quadrature operators. We find that such constraints affect the equations of motion in a highly nontrivial way, inducing nonlinear behavior and even classical chaos. Interestingly, Gaussianity is preserved at all times. A discussion concerning the robustness of this approach to possible experimental errors is also presented. (AU)

Processo FAPESP: 16/08721-7 - Modelagem estocástica de sistemas quânticos fora do equilíbrio
Beneficiário:Gabriel Teixeira Landi
Linha de fomento: Auxílio à Pesquisa - Regular