Characterizing quantum synchronization in the van der Pol oscillator via tomogram and photon correlation

• URL: http://arxiv.org/abs/2512.21272v1
• Date: Wed, 24 Dec 2025 16:40:16 GMT
• Title: Characterizing quantum synchronization in the van der Pol oscillator via tomogram and photon correlation
• Authors: Kingshuk Adhikary, K. M. Athira, M. Rohith,
• Abstract summary: We use a nonclassical area quantifier rooted in homodyne tomography to assess the nonclassical nature of the vdPo's state.<n>We derive an analytical expression for the steady-state density matrix and the corresponding tomogram of the system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We access the quantum synchronization (QS) in the steady state of a driven quantum van der Pol oscillator (vdPo) using two distinct figures of merit: (i) the nonclassical area $δ$ and (ii) the second-order correlation function $g^{(2)}(0)$, which are both viable in experimental architectures. The nonclassical area quantifier rooted in homodyne tomography, allows us to assess the nonclassical nature of the vdPo's state directly from the tomogram without requiring full state reconstruction or the Wigner function negativity. Within a well-defined parameter regime of drive strength and detuning, both $δ$ and $g^{(2)}(0)$ exhibit pronounced signatures of synchronization that complements the phase coherence between the drive and the vdPo. We derive an analytical expression for the steady-state density matrix and the corresponding tomogram of the system, valid for arbitrary strengths of the harmonic drive. Analysis of the quantum tomogram uncovers clear phase-locking behavior, enabling the identification of the synchronization region (Arnold tongue) directly in terms of experimentally measurable quantities. Furthermore, the behaviour of $g^{(2)}(0)$ provides a statistical perspective that reinforces the tomographic signatures of QS. By analyzing the interplay between these metrics, we can gain more profound insights into the underlying mechanisms that govern QS in such systems.

Related papers

• Shortcuts to adiabaticity, unexciting backgrounds, and reflectionless potentials [45.88028371034407]
  We exploit the analogy with one-dimensional quantum mechanics, and the well known correspondence between Bogoliubov coefficients in the QHO and transmission/reflection amplitudes in scattering theory.<n>We show how STA completions can be understood in terms of the anti-squeezing operator.
  arXiv  Detail & Related papers  (2026-01-16T13:02:37Z)
• Signatures of coherent energy transfer and exciton delocalization in time-resolved optical cross correlations [45.88028371034407]
  We investigate how optical second-order cross correlations witness the quantum features of a prototype donor-acceptor light-harvesting unit.<n>Our work strengthens the idea that measurements of the intensity quantum cross correlations can provide distinctive signatures of the quantum behavior of biophysical emitters.
  arXiv  Detail & Related papers  (2025-12-19T16:19:25Z)
• Probing non-equilibrium physics through the two-body Bell correlator [0.0]
  We identify equilibrium criticalities and phases from the dynamics of a system, known as a dynamical quantum phase transition (DQPT)<n>In this study, we consider two quenching protocols, namely sudden quenches of the magnetic field strength and the interaction fall-off rate.<n>This pronounced behavior defines a threshold, distinguishing intra-phase from inter-phase quenches, remaining valid regardless of the strength of long-range interactions, anisotropy, and system sizes.
  arXiv  Detail & Related papers  (2025-10-31T17:29:03Z)
• Signatures of quantum chaos and complexity in the Ising model on random graphs [0.0]
  We investigate quantum chaos and complexity in the quantum annealing Ising model on random ErdHos-R'enyi graphs.<n>We study deep thermalization of a quantum state ensemble as an indicator of chaotic dynamics.<n>We also investigate a quantum analogue of the Mpemba effect, where initially "hotter" states can thermalize anomalously fast.
  arXiv  Detail & Related papers  (2025-08-04T18:43:43Z)
• Thermodynamic Signatures of Gaussian Entanglement Beyond Entropy [0.0]
  We introduce an entropy-free criterion for entanglement detection in bipartite Gaussian states.<n>We extend our analysis to certain non-Gaussian states and observe analogous energy-based signatures of quantum correlations.
  arXiv  Detail & Related papers  (2025-05-30T13:43:36Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Nonclassicality in Two-Mode Stabilized Squeezed Coherent State: Quantum-to-Classical transition [0.0]
  We introduce the $Pi_rm N$ indicator, a novel measure for characterizing nonclassicality in the resulting EPR-entangled state. Our work deepens the understanding of the intricate dependence of nonclassicality on system parameters in the context of SSCS. The potential of $Pi_rm N$ holds significant promise for advancements in quantum optics and information science.
  arXiv  Detail & Related papers  (2024-04-19T10:02:13Z)
• Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator [0.0]
  Quantum coherence and quantum correlations are studied in a strongly interacting system composed of two qubits and a parametric medium. We employ the adiabatic approximation approach to analytically solve the system. The reconstructed states are observed to be nearly pure generalized Bell states.
  arXiv  Detail & Related papers  (2021-06-12T11:16:40Z)
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing [55.41644538483948]
  We investigate superpositions of two-mode squeezed states (TMSSs) TMSSs have potential applications to quantum information processing and quantum sensing.
  arXiv  Detail & Related papers  (2021-02-01T18:09:01Z)
• Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
  We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback. The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
  arXiv  Detail & Related papers  (2020-06-20T10:07:01Z)

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.