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09 February 2025
 
  » arxiv » 1508.0221

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What is measured when fluctuation of macrovariables is measured in quantum systems
Kyota Fujikura ; Akira Shimizu ;
Date 2 Aug 2015
AbstractFor equilibrium states of macroscopic quantum systems, we study what are measured when fluctuations of macrovariables are measured. To mimic classical ideal measurements, we consider ’quasi-classical measurements’ which are minimally-disturbing, homogeneous, and unbiased quantum measurements with moderate magnitudes of errors. For all such measurements, we find that the symmetrized time correlation is obtained among many quantum correlations that reduce, in the classical limit, to the same classical time correlation. As an important consequence of this universal result, we show that the fluctuation-dissipation theorem (FDT) and Onsager’s hypothesis are partially violated in macroscopic quantum systems. The post-measurement state is squeezed by backactions of the measurements, but is macroscopically identical to the pre-measurement equilibrium state. This state evolves with time, in which macrovariables fluctuate and relax, unlike other microstates (such as the Gibbs state) that represent the same equilibrium state.
Source arXiv, 1508.0221
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