Leggett-Garg tests of macro-realism for dynamical cat-states evolving in a nonlinear medium

• Main Authors: Thenabadu, Manushan, Reid, Margaret
• Format: Journal Article
• Language: English
• Published: 28.12.2018
• Subjects: Physics - Quantum Physics
• DOI: 10.48550/arxiv.1812.11114

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.