4.8 Article

Experimental Determination of PT-Symmetric Exceptional Points in a Single Trapped Ion

期刊

PHYSICAL REVIEW LETTERS
卷 126, 期 8, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.126.083604

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资金

  1. National Natural Science Foundation of China [11522436, 11774425, 11704408, 91836106]
  2. National Key R&D Program of China [2018YFA0306501]
  3. Beijing Natural Science Foundation [Z180013]
  4. Joint fund of the Ministry of Education [6141A020333xx]
  5. Research Funds of Renmin University of China [16XNLQ03, 18XNLQ15]

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Observing exceptional points of a non-Hermitian Hamiltonian with parity-time-reversal symmetry can enhance metrology and sensing capabilities by increasing sensitivity to external perturbations. This exploration allows for detailed quantum phase transitions and extraction of eigenvalues, leading to the measurement of time-dependent perturbations through EP enhancement.
Exceptional points (EPs) of a non-Hermitian Hamiltonian with parity-time-reversal (PT) symmetry have the potential to drastically enhance the capabilities of metrology and sensing through their power-law growing sensitivity to external perturbation. With the ability of generating and tuning dissipation in a single trapped ion system, we observe rich dynamics and detailed quantum phase transitions from the PT-symmetric phase to the symmetry-breaking phase. In this single qubit full quantum system, we develop a method to precisely determine the location of EP without any fitting parameter, and extract the eigenvalues in a unified way through all parameter regions. We can also obtain the full density matrix by quantum state tomography. Finally, we suggest from theoretical analysis that the periodically driving PT-symmetric non-Hermitian system can be used to measure the magnitude, frequency, and phase of time-dependent perturbation with EP enhancement.

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