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Article overview
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Continuous phase-space methods on discrete phase spaces | Bojan Žunkovič
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1 Aug 2015 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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