Rapid spatial equilibration of a particle in a box

Artur S L Malabarba; Noah Linden; Anthony J. Short

doi:10.1103/PhysRevE.92.062128

Rapid spatial equilibration of a particle in a box

Artur S L Malabarba, Noah Linden, Anthony J. Short

Research output: Contribution to journal › Article (Academic Journal) › peer-review

5 Citations (Scopus)

549 Downloads (Pure)

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.

Original language	English
Article number	062128
Number of pages	8
Journal	Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume	92
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.92.062128
Publication status	Published - 16 Dec 2015

Bibliographical note

Date of Acceptance: 19/11/2015

Access to Document

10.1103/PhysRevE.92.062128

1506.03851v2
©2015 American Physical Society. All rights reserved.
Accepted author manuscript, 7.18 MB
PhysRevE.92.062128
©2015 American Physical Society. Article available at DOI: 10.1103/PhysRevE.92.062128
Final published version, 848 KB

Handle.net

Persistent link

Cite this

@article{4c07a4e036da444188f6944ceb79ed6e,

title = "Rapid spatial equilibration of a particle in a box",

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.",

author = "Malabarba, \{Artur S L\} and Noah Linden and Short, \{Anthony J.\}",

note = "Date of Acceptance: 19/11/2015",

year = "2015",

month = dec,

day = "16",

doi = "10.1103/PhysRevE.92.062128",

language = "English",

volume = "92",

journal = "Physical Review E: Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society (APS)",

number = "6",

}

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 - https://www.scopus.com/pages/publications/84951149290

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 -

Rapid spatial equilibration of a particle in a box

Abstract

Bibliographical note

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this