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Rapid spatial equilibration of a particle in a box

Research output: Contribution to journalArticle

Original languageEnglish
Article number 062128
Number of pages8
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number6
DOIs
DateAccepted/In press - 28 Sep 2015
DatePublished (current) - 16 Dec 2015

Abstract

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.

Additional information

Date of Acceptance: 19/11/2015

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Documents

  • 1506.03851v2

    Rights statement: ©2015 American Physical Society. All rights reserved.

    Accepted author manuscript, 7 MB, PDF document

  • PhysRevE.92.062128

    Rights statement: ©2015 American Physical Society. Article available at DOI: 10.1103/PhysRevE.92.062128

    Final published version, 847 KB, PDF document

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