Leggett-Garg tests of macro-realism for dynamical cat-states evolving in a nonlinear medium
Phys. Rev. A 99, 032125 (2019) We show violations of Leggett-Garg inequalities to be possible for single-mode cat-states evolving dynamically in the presence of a nonlinear quantum interaction arising from, for instance, a Kerr medium. In order to prove the results, we derive a generalised version o...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
28.12.2018
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Subjects | |
Online Access | Get full text |
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Summary: | Phys. Rev. A 99, 032125 (2019) We show violations of Leggett-Garg inequalities to be possible for
single-mode cat-states evolving dynamically in the presence of a nonlinear
quantum interaction arising from, for instance, a Kerr medium. In order to
prove the results, we derive a generalised version of the Leggett-Garg
inequality involving different cat-states at different times. The violations
demonstrate failure of the premise of macro-realism as defined by Leggett and
Garg, provided extra assumptions associated with experimental tests are valid.
With the additional assumption of stationarity, violations of the Leggett-Garg
inequality are predicted for the multi-component cat-states observed in the
Bose-Einstein condensate and superconducting circuit experiments of Greiner et
al. (Nature 419, 51, (2002)) and Kirchmair et al. (Nature, 495, 205 (2013)).
The violations demonstrate a mesoscopic quantum coherence, by negating that the
system can be in a classical mixture of mesoscopically distinct coherent
states. Higher orders of nonlinearity are also studied and shown to give strong
violation of Leggett-Garg inequalities. |
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DOI: | 10.48550/arxiv.1812.11114 |