TY - JOUR
T1 - Rapid spatial equilibration of a particle in a box
AU - Malabarba, Artur S L
AU - Linden, Noah
AU - Short, Anthony J.
N1 - Date of Acceptance: 19/11/2015
PY - 2015/12/16
Y1 - 2015/12/16
N2 - We study the equilibration behavior of a quantum particle in a one-dimensional box, with respect to a coarse-grained position measurement (whether it lies in a certain spatial window or not). We show that equilibration in this context indeed takes place and does so very rapidly, in a time comparable to the time for the initial wave packet to reach the edges of the box. We also show that, for this situation, the equilibration behavior is relatively insensitive to the precise choice of position measurements or initial condition.
AB - We study the equilibration behavior of a quantum particle in a one-dimensional box, with respect to a coarse-grained position measurement (whether it lies in a certain spatial window or not). We show that equilibration in this context indeed takes place and does so very rapidly, in a time comparable to the time for the initial wave packet to reach the edges of the box. We also show that, for this situation, the equilibration behavior is relatively insensitive to the precise choice of position measurements or initial condition.
UR - http://www.scopus.com/inward/record.url?scp=84951149290&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.92.062128
DO - 10.1103/PhysRevE.92.062128
M3 - Article (Academic Journal)
C2 - 26764653
AN - SCOPUS:84951149290
SN - 1539-3755
VL - 92
JO - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
IS - 6
M1 - 062128
ER -