Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2011-06-17
Phys. Rev. A 84, 042114 (2011)
Physics
Condensed Matter
Other Condensed Matter
12 pages, 3 figures. To be published in Phys. Rev. A
Scientific paper
We calculate the quantum Renyi entropy in a phase space representation for either fermions or bosons. This can also be used to calculate purity and fidelity, or the entanglement between two systems. We show that it is possible to calculate the entropy from sampled phase space distributions in normally ordered representations, although this is not possible for all quantum states. We give an example of the use of this method in an exactly soluble thermal case. The quantum entropy cannot be calculated at all using sampling methods in classical symmetric (Wigner) or antinormally ordered (Husimi) phase spaces, due to inner product divergences. The preferred method is to use generalized Gaussian phase space methods, which utilize a distribution over stochastic Green's functions. We illustrate this approach by calculating the reduced entropy and entanglement of bosonic or fermionic modes coupled to a time-evolving, non-Markovian reservoir.
Drummond Peter D.
Rosales-Zárate Laura E. C.
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