Experimental observation of quantum chaos in a beam of light

Lemos, Gabriela Barreto; Gomes, Rafael M.; Walborn, S. P.; Ribeiro, P. H. Souto; Toscano, Fabricio

doi:10.1038/ncomms2214

Cited by 49 publications

(45 citation statements)

References 41 publications

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“…We consider that it is very important to perform experiments to test the boundaries between the quantum and the classical worlds, because there is not a general method to perform it theoretically. The experiment to study the quantum to classical transition of a chaotic system also realized with the spatial degrees of freedom of light is an example of this type of investigation [29].…”

Section: Quantum Versus Classicalmentioning

confidence: 99%

Work distribution in a photonic system

et al. 2016

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We present a proposal of a set-up to measure the work distribution of a process acting on a quantum system emulated by the transverse degrees of freedom of classical light. Hermite-Gaussian optical modes are used to represent the energy eigenstates of a quantum harmonic oscillator prepared in a thermal state. The Fourier transform of the work distribution, or the characteristic function, can be obtained by measuring the light intensity at the output of a properly designed interferometer. The usefulness of the approach is illustrated by calculating the work distribution for a unitary operation that displaces the linear momentum of the oscillator. Other types of processes and quantum systems can be implemented with the same scheme. We also show that the set-up can be used to investigate the energy distribution for open dynamics described by completely positive maps. We discuss the feasibility of the experiment, which can be realized with simple linear optical components.

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Section: Quantum Versus Classicalmentioning

confidence: 99%

Work distribution in a photonic system

et al. 2016

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“…Interestingly, Ref. [21] reports the experimental realization of a possibly suitable quantum chaotic system.…”

Section: Introductionmentioning

confidence: 99%

Single-qubit decoherence under a separable coupling to a random matrix environment

2014

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This paper describes the dynamics of a quantum two-level system (qubit) under the influence of an environment modeled by an ensemble of random matrices. In distinction to earlier work, we consider here separable couplings and focus on a regime where the decoherence time is of the same order of magnitude than the environmental Heisenberg time. We derive an analytical expression in the linear response approximation, and study its accuracy by comparison with numerical simulations. We discuss a series of unusual properties, such as purity oscillations, strong signatures of spectral correlations (in the environment Hamiltonian), memory effects and symmetry breaking equilibrium states.

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“…The former feature means that there is a little degeneracy while the latter implies that there are a large number of energy level spacings around the peak value. These signatures of chaos have been experimentally observed in the energy levels obtained from molecular and atomic spectra 8,9 .…”

Section: Introductionmentioning

confidence: 66%

Quantum chaos in the Heisenberg spin chain: The effect of Dzyaloshinskii-Moriya interaction

Vahedi

Ashouri

Mahdavifar

2016

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Using one-dimensional spin-1/2 systems as prototypes of quantum many-body systems, we study the emergence of quantum chaos. The main purpose of this work is to answer the following question: how does the spin-orbit interaction, as a pure quantum interaction, may lead to the onset of quantum chaos? We consider three integrable spin-1/2 systems: the Ising, the XX, and the XXZ limits, and analyze whether quantum chaos develops or not after the addition of the Dzyaloshinskii-Moriya interaction. We find that, depending on the strength of the anisotropy parameter, the answer is positive for the XXZ and Ising models, while no such evidence is observed for the XX model. We also discuss the relationship between quantum chaos and thermalization.The main purpose of this work is to answer this question: how the spin-orbit interaction as a pure quantum interaction may develop a quantum chaos which has no classical counterpart?. The result can be summarized as follows: 1-Ising chain with added Dzyaloshinskii-Moriya (DM) Interaction is chaotic. 2-XX chain with added DM interaction does not show a chaotic features. 3-XXZ chain with added DM interaction is chaotic.

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Experimental observation of quantum chaos in a beam of light

Cited by 49 publications

References 41 publications

Work distribution in a photonic system

Work distribution in a photonic system

Single-qubit decoherence under a separable coupling to a random matrix environment

Quantum chaos in the Heisenberg spin chain: The effect of Dzyaloshinskii-Moriya interaction

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