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A new continuous-variable entanglement test works for ac-driven electron-hole pairs. This quantum entanglement test is effective in mesoscopic junctions at low temperatures, offering a novel approach for quantum information science.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Standard entanglement tests like the Clauser-Horne-Shimony-Holt inequality fail in mesoscopic junctions at finite temperatures due to bidirectional particle flow.
  • This failure is expected in ac-driven contacts where electrons and holes are generated.
  • A new method is needed to test entanglement in such systems.

Purpose of the Study:

  • To develop a continuous-variable entanglement test applicable to electrons and holes generated by an ac drive.
  • To investigate the conditions under which entanglement can be detected in ac-driven mesoscopic junctions.

Main Methods:

  • Development of a continuous-variable entanglement test.
  • Application of the test to ac-driven electron-hole pair creation in mesoscopic junctions.
  • Analysis of generalized Bell inequality violations based on junction properties and ac voltage parameters.

Main Results:

  • The generalized Bell inequality is violated at low temperatures in junctions with low conductance or few transport channels.
  • Violation occurs when ac voltages create a small number of electron-hole pairs per cycle.
  • The entanglement test's sensitivity depends on the total number of electron-hole pairs and their creation probability distribution, analogous to the Fano factor.

Conclusions:

  • A novel continuous-variable entanglement test is suitable for ac-driven electron-hole pairs.
  • Entanglement detection is feasible in mesoscopic junctions under specific low-temperature and low-excitation conditions.
  • The developed test provides a new tool for exploring quantum phenomena in driven quantum systems.