Violation of the Leggett-Garg Inequality for Dynamics of a Bose-Einstein Condensate in a Double-Well Potential
The Leggett-Garg inequality (LGI) serves as a criterion to determine the adherence of macroscopic system dynamics to macrorealism, as postulated by Leggett and Garg. A violation of this inequality implies either the absence of a realistic description of the system or the impracticality of noninvasiv...
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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
07.07.2024
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Subjects | |
Online Access | Get full text |
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Summary: | The Leggett-Garg inequality (LGI) serves as a criterion to determine the
adherence of macroscopic system dynamics to macrorealism, as postulated by
Leggett and Garg. A violation of this inequality implies either the absence of
a realistic description of the system or the impracticality of noninvasive
measurements. In this work, we investigate the violation of the LGI for the
system of bosons in a double-well potential. Specifically, we explore the
violation of the LGI in the dynamics of bosons in a double-well potential in
the Bose-Einstein-Condensation (BEC) regime, where the system can be considered
as two weakly coupled Bose condensates, and in the single-particle regime to
establish the conditions under which the violation of the LGI occurs. Our
analysis reveals that the LGI is violated due to Josephson oscillations, while
it remains unviolated in the strong coupling regime, attributed to the
self-trapping phenomena. Notably, we observe that the violation of the LGI
becomes increasingly significant as the particle number increases. These
findings provide valuable insights into the macrorealistic behavior of Bose
condensates and highlight the effect of measurements on the dynamics of a
macroscopic system. |
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DOI: | 10.48550/arxiv.2407.05304 |