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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Dynamical chaotic phases and constrained quantum dynamics

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Author(s):
Timpanaro, Andre M. [1] ; Wald, Sascha [2, 3] ; Semiao, Fernando [1] ; Landi, Gabriel T. [4]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 4
Document type: Journal article
Source: Physical Review A; v. 100, n. 1 JUL 15 2019.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 16/08721-7 - Stochastic modeling of non-equilibrium quantum systems
Grantee:Gabriel Teixeira Landi
Support type: Regular Research Grants