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18 February 2025
 
  » arxiv » 1508.0135

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Continuous phase-space methods on discrete phase spaces
Bojan Žunkovič ;
Date 1 Aug 2015
AbstractWe show that discrete quasiprobability distributions defined via the discrete Heisenberg-Weyl group can be obtained as discretizations of the continuous $SU(N)$ quasiprobability distributions. This is done by identifying the phase-point operators with the continuous quantisation kernels evaluated at special points of the phase space. As an application we discuss the positive-P function and show that its discretization can be used to treat the problem of diverging trajectories. We study the dissipative long-range transverse-field Ising chain and show that the long-time dynamics of local observables is well described by a semiclassical approximation of the interactions.
Source arXiv, 1508.0135
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