Entropy of very low energy localized states

Abstract

We expand on previous work involving "vacuum-bounded" states, i.e., states such that every measurement performed outside a specified interior region gives the same result as in the vacuum. We improve our previous techniques by removing the need for a finite outside region in numerical calculations. We apply these techniques to the limit of very low energies and show that the entropy of a vacuum-bounded state can be much higher than that of a rigid box state with the same energy. For a fixed $E$ we let $L_i{n}^{\prime }$ be the length of a rigid box which gives the same entropy as a vacuum-bounded state of length $L_{i}n$. In the $E\to 0$ limit we conjecture that the ratio $L_i{n}^{\prime }/L_{i}n$ grows without bound and support this conjecture with numerical computations.

27 pages, RevTeX, 7 postscript figures with epsf

References in corpus (1)

• Entropy of Localized States and Black Hole Evaporation