Quantum Correlations in the Decay of $B^0$ meson and Entanglement Entropy

• URL: http://arxiv.org/abs/2606.28034v1
• Date: Fri, 26 Jun 2026 12:42:11 GMT
• Title: Quantum Correlations in the Decay of $B^0$ meson and Entanglement Entropy
• Abstract summary: The decay of the $B0$ meson into two vector mesons constitutes a bipartite system of two qutrits.<n>The entanglement entropy is used as a measure of quantum correlations in the system of decaying particles.
• Score: 0.06372261626436676
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a phenomenological study of quantum correlations in the decay of $B^0$ mesons into a system of two vector mesons. The decay of the $B^0$ meson into two vector mesons constitutes a bipartite system of two qutrits. The entanglement entropy is used as a measure of quantum correlations in the system of decaying particles. We study the variation of the Rényi entropy with Rényi order ($α$) for the decay channels $B_s^0 \rightarrow φ\, φ$, $B_d^0 \rightarrow J/ψ\, K^{*}(892)^0$, $B_d^0 \rightarrow φ\, K^{*}(892)^0$ and $B_s^0 \rightarrow J/ψ\, φ$ and discuss the significance of entanglement entropy at different Rényi order regimes. The LHCb, ATLAS and Belle collaborations experimental measurements of complex polarization amplitudes and relative phases are used as input for our analysis. A comparison of entanglement entropy for all the $B^0$ meson decay processes, with both vanishing and non-vanishing phases, reveals a strong phase dependence of the entropy. We further present the results of Hartley entropy (Max-Entropy), von Neumann entropy, collision entropy, and min-entropy, each corresponding to different values and limits of the Rényi order. The comparison between the branching fractions of the decay processes and the von Neumann entropy shows a connection between entanglement and decay dynamics, indicating the role of weak and strong interaction in generating quantum entanglement. In addition, we evaluate several other entanglement measures, including linear entropy, I-concurrence, tangle, negativity, logarithmic negativity, Schmidt coefficients, and Schmidt rank for different $B^0$ meson decay processes. Our study demonstrates that entanglement measures provide useful insights into the underlying decay dynamics and may serve as important tools for understanding quantum correlations in high-energy particle physics processes.

Related papers

• Tight Entropy Contraction of Generalized Quantum Depolarization [15.671504580092032]
  We establish upper and lower bounds for relative entropy contraction of quantum depolarizing channels and semigroups.<n>One side estimate are based on sharp reverse ratio and convexity of relative entropy of two states.<n>Results extend to the complete entropy contraction rate, tensor stable estimates for product dynamics.
  arXiv  Detail & Related papers  (2026-08-20T06:20:34Z)
• Quantum relative entropy for unravelings of master equations [0.0]
  This work explores connections between the quantum relative entropy of two faithful states $,$ and the Kullback-Leibler divergences of classical measures $,$.
  arXiv  Detail & Related papers  (2025-11-28T08:31:14Z)
• On Estimating the Quantum Tsallis Relative Entropy [10.925697720070426]
  The relative entropy between quantum states quantifies their distinguishability.<n>We show that for any constant $alpha in (0, 1)$, the $alpha$-Tsallis relative entropy between two quantum states of rank $r$ can be estimated.<n>We also show that the quantum state distinguishability problems with respect to the quantum $alpha$-Tsallis relative entropy and quantum Hellinger distance are $mathsfQSZK$-complete in a certain regime.
  arXiv  Detail & Related papers  (2025-10-01T10:38:59Z)
• Exact Relation Between Wehrl-Rényi Entropy and Many-Body Entanglement [13.703543201381892]
  We establish an exact relation between the Wehrl-R'enyi entropy (WRE) $S_W(2)$, which is the 2nd R'enyi entropy of the Husimi function of the entire system.<n>We analytically derive the WRE for several representative many-body states, including Haar-random states, the Greenberger-Horne-Zeilinger (GHZ) state, and the W state.
  arXiv  Detail & Related papers  (2025-09-19T14:43:58Z)
• Singularity and universality from von Neumann to Rényi entanglement entropy and disorder operator in Motzkin chains [13.286899418567023]
  We show that the scaling of the disorder operators also follows $logl$ as the leading behavior, matching that of the R'enyi entropy.<n>We propose that the coefficient of the term $logl$ is a universal constant shared by both the R'enyi entropies and disorder operators.
  arXiv  Detail & Related papers  (2025-01-29T01:33:07Z)
• Universal dynamics of the entropy of work distribution in spinor Bose-Einstein condensates [0.0]
  We analyze how the underlying QPT affects the work distribution $P(W)$ in a quantum many-body system. We find three different regions in the evolution of entropy as a function of $tau$. Our results verify the usefulness of the entropy of the work distribution for understanding the critical dynamics.
  arXiv  Detail & Related papers  (2024-01-11T14:01:16Z)
• Geometric relative entropies and barycentric Rényi divergences [16.385815610837167]
  monotone quantum relative entropies define monotone R'enyi quantities whenever $P$ is a probability measure. We show that monotone quantum relative entropies define monotone R'enyi quantities whenever $P$ is a probability measure.
  arXiv  Detail & Related papers  (2022-07-28T17:58:59Z)
• Entanglement and Correlation Spreading in non-Hermitian Spin Chains [0.0]
  Non-Hermitian quantum many-body systems are attracting widespread interest for their exotic properties. We study how quantum information and correlations spread under a quantum quench generated by a prototypical non-Hermitian spin chain.
  arXiv  Detail & Related papers  (2022-01-24T19:00:02Z)
• Entropy decay for Davies semigroups of a one dimensional quantum lattice [13.349045680843885]
  We show that the relative entropy between any evolved state and the equilibrium Gibbs state contracts exponentially fast with an exponent that scales logarithmically with the length of the chain. This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems.
  arXiv  Detail & Related papers  (2021-12-01T16:15:58Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)

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.