2017
DOI: 10.1103/physrevlett.119.100403
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General Galilei Covariant Gaussian Maps

Abstract: We characterize general non-Markovian Gaussian maps which are covariant under Galilean transformations. In particular, we consider translational and Galilean covariant maps and show that they reduce to the known Holevo result in the Markovian limit. We apply the results to discuss measures of macroscopicity based on classicalization maps, specifically addressing dissipation, Galilean covariance and non-Markovianity. We further suggest a possible generalization of the macroscopicity measure defined in Nimmricht… Show more

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Cited by 5 publications
(11 citation statements)
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“…The translation invariance criterion is generalized to non-Markovian dynamics in Ref. [50]. Suppose that some eigenstate |Ψ 0 of HamiltonianĤ is also the fixed point of the quantum Liouvillian L defined by Eqs.…”
Section: Introductionmentioning
confidence: 99%
“…The translation invariance criterion is generalized to non-Markovian dynamics in Ref. [50]. Suppose that some eigenstate |Ψ 0 of HamiltonianĤ is also the fixed point of the quantum Liouvillian L defined by Eqs.…”
Section: Introductionmentioning
confidence: 99%
“…In light of the central role that they play in the experimental investigation of quantum macroscopicity 24,25 , in the following, we will focus on such models as benchmarks for precision tests of quantum mechanics.…”
Section: Superposition Of Macroscopic Systems: the Case For Spacementioning
confidence: 99%
“…Assumptions (i) and (ii) are both related to Galilei space-time symmetries. Specifically, assumption (i) implies the following dynamical map (in the interaction picture) [39]:…”
mentioning
confidence: 99%
“…( 5) is in the choice of the operators J. To remove it, one is tempted to impose the full Galilei symmetry group, specifically covariance under boosts, but this leads to an infinite temperature increase for an isolated system [39]. To avoid this unphysical feature, we relax this assumption, and require instead that an isolated system has the (ii) stationary Gibbs state:…”
mentioning
confidence: 99%
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