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One-axis twisting creates many-body Bell correlations in bosonic qubits. This study analytically identifies critical times for Bell correlation emergence and predicts their depth over time.

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Area of Science:

  • Quantum Information Science
  • Many-Body Physics
  • Quantum Optics

Background:

  • Nonclassical states of bosonic qubits are crucial for quantum information processing.
  • One-axis twisting (OAT) is a known method for generating such states.
  • Understanding the emergence and evolution of quantum correlations is essential.

Purpose of the Study:

  • To demonstrate that one-axis twisting (OAT) is a potent source of many-body Bell correlations.
  • To develop a universal analytical framework for treating OAT dynamics.
  • To identify the critical time of Bell correlation emergence and predict their depth.

Main Methods:

  • Analytical treatment of the one-axis twisting process.
  • Identification of critical time points for Bell correlation emergence.
  • Prediction of Bell correlation depth evolution.
  • Application to the Bose-Hubbard model for illustration.

Main Results:

  • One-axis twisting (OAT) is confirmed as a powerful generator of many-body Bell correlations.
  • A critical time for the emergence of Bell correlations is analytically identified.
  • The depth of Bell correlations is predictable at all subsequent times.
  • The Bose-Hubbard model provides a non-trivial example validating the analytical framework.

Conclusions:

  • OAT provides a robust pathway to generate significant many-body Bell correlations.
  • The developed analytical method offers precise control and prediction of quantum correlations in bosonic systems.
  • This work advances the understanding and application of nonclassical states for quantum technologies.