Effect of linear and nonlinear coupling processes on correlation properties of bosonic modes

• URL: http://arxiv.org/abs/2506.16300v1
• Date: Thu, 19 Jun 2025 13:21:43 GMT
• Title: Effect of linear and nonlinear coupling processes on correlation properties of bosonic modes
• Authors: Jakub Bembenek, Zbigniew Ficek,
• Abstract summary: We study the influence of the linear and nonlinear coupling processes on the correlation properties of a system composed of two bosonic modes.<n>We investigate under what circumstances a given type of coupling causes the creation of the first-order correlations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the influence of the linear and nonlinear coupling processes on the correlation properties of a system composed of two bosonic modes. The coupling processes are treated as Gaussian while the modes are assumed to experience damping and fluctuations that are due to their coupling to independent squeezed vacua. We investigate under what circumstances a given type of coupling causes the creation of the first-order correlations and which causes the creation of the two-photon correlations. Distinctly different results are obtained for the linear and nonlinear couplings, especially when there are two-photon correlations present in the modes. In particular, the linear coupling process can generate the inter-mode correlations only when there are differences between the modes either in populations or two-photon correlations. The varying with the coupling strength a population difference is shown to be responsible for generation of the first-order correlations while the varying asymmetry in the two-photon correlations is found to be responsible for the generation of the inter-mode two-photon correlations. In the case of the nonlinear coupling the generation of the inter-mode correlations is insensitive to any difference between the modes. The varying with the coupling strength amplification of the population of the modes is found to be responsible for generation of the inter-mode two photon correlations while the varying amplification of the two-photon correlations results in the first-order correlations between the modes. Furthermore, in the strong coupling limit the linear coupling tends to destroy all of the inter-mode correlations, and simultaneously turns the states of the modes to be identical, either thermal or equally squeezed states. In the case of nonlinear coupling process the modes are turned to be perfectly coherent.

Related papers

• Nonreciprocal flow of fluctuations, populations and correlations between doubly coupled bosonic modes [0.0]
  We show that the dynamics of the quadrature components of the field operators can be attributed to non-Hermicity of the system.<n>In particular, we identify how the emerging exceptional point controls the conversion of thermal states of the modes into single-mode classically or quantum squeezed states.
  arXiv  Detail & Related papers  (2025-12-12T10:15:46Z)
• Evolution of multi-qubit correlations driven by mutual interactions [49.1574468325115]
  We analyze the evolution of the correlation tensor elements of quantum systems composed of $frac12$-spins.<n>We show how a strong external field can play a stabilizing factor with respect to certain correlation characteristics.
  arXiv  Detail & Related papers  (2025-07-01T11:45:08Z)
• Quantum correlations via vector soliton interactions [0.0]
  Generation of quantum-correlated pulse pairs in a dispersion modulated birefringent fiber is considered.<n>Photon-number correlations and squeezing are studied using linearized quantum fluctuation theory.
  arXiv  Detail & Related papers  (2024-12-12T12:01:26Z)
• Connectivity structure and dynamics of nonlinear recurrent neural networks [46.62658917638706]
  We develop a theory to analyze how structure in connectivity shapes the high-dimensional, internally generated activity of neural networks. Our theory provides tools to relate neural-network architecture and collective dynamics in artificial and biological systems.
  arXiv  Detail & Related papers  (2024-09-03T15:08:37Z)
• Photon correlation time-asymmetry and dynamical coherence in multichromophoric systems [44.99833362998488]
  We show that time-asymmetries in the cross-correlations of photons corresponding to different polarizations can be exploited to probe quantum coherent transport mechanisms and steady-state coherence properties. Our results put forward photon correlation asymmetry as a promising approach to investigate coherent contributions to excited-stated dynamics in molecular aggregates and other many-site quantum emitters.
  arXiv  Detail & Related papers  (2024-04-24T21:06:01Z)
• Complementarity relationship between coherence and path distinguishability in an interferometer based on induced coherence [0.0]
  We derive a complementarity relationship that links the first-order coherence between the two interfering photons. We show that the derived relationship goes beyond the single-photon regime and is valid for any photon-flux rate generated.
  arXiv  Detail & Related papers  (2023-10-30T17:36:11Z)
• Order-invariant two-photon quantum correlations in PT-symmetric interferometers [62.997667081978825]
  Multiphoton correlations in linear photonic quantum networks are governed by matrix permanents. We show that the overall multiphoton behavior of a network from its individual building blocks typically defies intuition. Our results underline new ways in which quantum correlations may be preserved in counterintuitive ways even in small-scale non-Hermitian networks.
  arXiv  Detail & Related papers  (2023-02-23T09:43:49Z)
• Coherence behavior of strongly coupled bosonic modes [0.0]
  We study the effect of the intermode coupling in the generation of coherence when two bosonic modes are bilinearly coupled. We observe that the intermode coupling induces oscillations in the coherence and fidelity dynamics similar to the behavior for the coupling with a non-Markovian environment.
  arXiv  Detail & Related papers  (2022-08-22T23:33:30Z)
• On the Kullback-Leibler divergence between pairwise isotropic Gaussian-Markov random fields [93.35534658875731]
  We derive expressions for the Kullback-Leibler divergence between two pairwise isotropic Gaussian-Markov random fields. The proposed equation allows the development of novel similarity measures in image processing and machine learning applications.
  arXiv  Detail & Related papers  (2022-03-24T16:37:24Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Coherent current correlations in a double-dot Cooper pair splitter [0.0]
  The studies are focused on the noise power spectrum in a whole bias voltage range. In particular, in the large voltage limit shot noise dominates and its spectrum exhibits two extraordinary side dips related to resonant inter-level current correlations. In the linear response limit we derived the frequency dependent admittance which shows different interference patterns for the cross and the auto current correlations.
  arXiv  Detail & Related papers  (2021-10-21T13:32:47Z)
• Photon-photon Correlations from a Pair of Strongly Coupled Two-Level Emitters [0.0]
  We investigate two-color photon correlations in the light emitted by strongly coupled two-level emitters. We show that the resonances induced by dipole-dipole interactions give rise to specific correlations, where the time-symmetry of the correlations is broken.
  arXiv  Detail & Related papers  (2020-12-07T14:35:37Z)
• Frequency-resolved photon correlations in cavity optomechanics [58.720142291102135]
  We analyze the frequency-resolved correlations of the photons being emitted from an optomechanical system. We discuss how the time-delayed correlations can reveal information about the dynamics of the system. This enriched understanding of the system can trigger new experiments to probe nonlinear phenomena in optomechanics.
  arXiv  Detail & Related papers  (2020-09-14T06:17:36Z)
• Switching dynamics of single and coupled VO2-based oscillators as elements of neural networks [55.41644538483948]
  We report on the switching dynamics of both single and coupled VO2-based oscillators, with resistive and capacitive coupling, and explore the capability of their application in neural networks. For the resistive coupling, it is shown that synchronization takes place at a certain value of the coupling resistance, though it is unstable and a synchronization failure occurs periodically. For the capacitive coupling, two synchronization modes, with weak and strong coupling, are found. The transition between these modes is accompanied by chaotic oscillations.
  arXiv  Detail & Related papers  (2020-01-07T02:16:04Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.