Experimental demonstration of enhanced violations of Leggett-Garg inequalities in a 𝒫𝒯-symmetric trapped-ion qubit
arxiv(2023)
摘要
The Leggett-Garg inequality (LGI) places a bound for the distinction between
quantum systems and classical systems. Despite that the tests of temporal
quantum correlations on LGIs have been studied in Hermitian realm, there are
still unknowns for LGIs in non-Hermitian conditions due to the interplay
between dissipation and coherence. For example, a theoretical hypothesis to be
experimentally validated, suggests that within non-Hermitian systems, the
non-unitary evolution of the system dynamics allows the boundaries of the LGIs
to surpass the constraints imposed by traditional quantum mechanics. Here, we
demonstrate the experimental violation of LGIs in a parity-time
(𝒫𝒯)-symmetric trapped-ion qubit system by measuring the temporal
correlation of the evolving states at different times. We find that the upper
bounds of the three-time parameter K_3 and the four-time parameter K_4 show
enhanced violations with the increasing dissipation, and can reach the upper
limit by infinitely approaching exceptional point. We also observe the distinct
behavior of the lower bounds for K_3 and K_4. While the lower bound for
K_3 remains constant, the case for K_4 shows an upward trend with
increasing dissipation. These results reveal a pronounced dependence of the
system's temporal quantum correlations on its dissipation to the environment.
This opens up a potential pathway for harnessing dissipation to modulate
quantum correlations and entanglement.
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