Quantum evolution of power-law mixed states

J. Batle, A.R. Plastino, M. Casas and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2002, vol. 308, issue 1, 233-244

Abstract: We study mixed quantum states described by a statistical operator ρ̂=B̂n,n real, with B̂ quadratic in the position and momentum operators. These states are parameterized as density matrices exhibiting the maximum q-entropy (q-MaxEnt) form. They can be regarded as the mixed-state counterpart of the power-law tail wave packets recently introduced by Lillio and Mantegna (Phys. Rev. Lett. 84 (2000) 1061; 84 (2000) 4516). We study the time evolution of these q-MaxEnt density matrices. We also investigate the main features of their associated position probability distributions. In particular, we focus attention on the convergence of the concomitant moments.

Keywords: Nonextensive information measures; MaxEnt; Density matrices (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:308:y:2002:i:1:p:233-244

DOI: 10.1016/S0378-4371(02)00576-9

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