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We analyzed critical points in Bohmian flow for two entangled qubits, finding that increased quantum entanglement speeds up the onset of chaos. This study clarifies trajectory behavior and chaos emergence in quantum systems.

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Area of Science:

  • Quantum mechanics
  • Quantum chaos
  • Quantum information

Background:

  • Bohmian mechanics offers a deterministic interpretation of quantum mechanics.
  • Quantum entanglement is a key resource in quantum information processing.
  • Chaos in quantum systems is an active area of research.

Purpose of the Study:

  • To analyze critical points (Y-points and X-points) in Bohmian flow for two entangled qubits.
  • To investigate the role of these critical points in the onset of chaos.
  • To understand the relationship between quantum entanglement and chaos in this system.

Main Methods:

  • Detailed analysis of Bohmian flow in inertial and moving frames.
  • Calculation of distances between critical points and Bohmian particles.
  • Numerical examination of the Lyapunov Characteristic Number (LCN) with varying entanglement.

Main Results:

  • Identified critical points (Y-points and X-points) and their relation to chaotic trajectories.
  • Found that increasing entanglement reduces the convergence time of the finite-time LCN.
  • Explained why some trajectories remain ordered and non-chaotic.

Conclusions:

  • Quantum entanglement significantly influences the emergence and characteristics of chaos in two-qubit systems.
  • The study provides insights into the dynamics of Bohmian trajectories and their chaotic behavior.
  • Findings contribute to understanding quantum chaos and its dependence on entanglement.