[Submitted on 28 Jan 2015] (cross-list from quant-ph)
Quantum decoherence in the entanglement entropy of a composite particle and its relationship to coarse graining in the Husimi function
I investigate quantum decoherence in a one-body density matrix of a composite particle consisting of two correlated particles. Because of a two-body correlation in the composite particle, quantum decoherence occurs in the one-body density matrix that has been reduced from the two-body density matrix. As the delocalization of the distribution of the composite particle grows, the entanglement entropy increases, and the system can be well-described by a semi-classical approximation, wherein the center position of the composite particle can be regarded as a classical coordinate. I connect the quantum decoherence in the one-body density matrix of a composite particle to the coarse graining in a phase space distribution function of a single particle and associate it with the Husimi function.
- Comments:
- 4 pages, 1 figure
- Subjects:
- Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); math.MP (math.MP); Nuclear Theory (nucl-th)
- arXiv:
- 1501.06991 [pdf]