Home > Research > Publications & Outputs > Fractal Weyl laws for quantum decay in dynamica...

Research

Associated organisational units

Electronic data

  • PhysRevE

    Rights statement: © 2010 The American Physical Society

    Final published version, 5.61 MB, PDF document

Links

Text available via DOI:

View graph of relations

Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space. / Kopp, Marten; Schomerus, Henning.
In: Physical Review E, Vol. 81, No. 2, 026208, 19.02.2010.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Kopp, M & Schomerus, H 2010, 'Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space', Physical Review E, vol. 81, no. 2, 026208. https://doi.org/10.1103/PhysRevE.81.026208

APA

Kopp, M., & Schomerus, H. (2010). Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space. Physical Review E, 81(2), Article 026208. https://doi.org/10.1103/PhysRevE.81.026208

Vancouver

Kopp M, Schomerus H. Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space. Physical Review E. 2010 Feb 19;81(2):026208. doi: 10.1103/PhysRevE.81.026208

Author

Kopp, Marten ; Schomerus, Henning. / Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space. In: Physical Review E. 2010 ; Vol. 81, No. 2.

Bibtex

@article{08871ee35ca844fb9d6da3682fb4d590,
title = "Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space",
abstract = "Weyl{\textquoteright}s law approximates the number of states in a quantum system by partitioning the energetically accessible phase-space volume into Planck cells. Here, we show that resonances in open quantum systems can follow a modified fractal Weyl law, even when their classical dynamics is not globally chaotic but also containsdomains of regular motion. Using an appropriate phase-space representation for open quantum systems, we connect this behavior to emerging quantum-to-classical correspondence.",
author = "Marten Kopp and Henning Schomerus",
note = "{\textcopyright} 2010 The American Physical Society",
year = "2010",
month = feb,
day = "19",
doi = "10.1103/PhysRevE.81.026208",
language = "English",
volume = "81",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Fractal Weyl laws for quantum decay in dynamical systems with a mixed phase space

AU - Kopp, Marten

AU - Schomerus, Henning

N1 - © 2010 The American Physical Society

PY - 2010/2/19

Y1 - 2010/2/19

N2 - Weyl’s law approximates the number of states in a quantum system by partitioning the energetically accessible phase-space volume into Planck cells. Here, we show that resonances in open quantum systems can follow a modified fractal Weyl law, even when their classical dynamics is not globally chaotic but also containsdomains of regular motion. Using an appropriate phase-space representation for open quantum systems, we connect this behavior to emerging quantum-to-classical correspondence.

AB - Weyl’s law approximates the number of states in a quantum system by partitioning the energetically accessible phase-space volume into Planck cells. Here, we show that resonances in open quantum systems can follow a modified fractal Weyl law, even when their classical dynamics is not globally chaotic but also containsdomains of regular motion. Using an appropriate phase-space representation for open quantum systems, we connect this behavior to emerging quantum-to-classical correspondence.

U2 - 10.1103/PhysRevE.81.026208

DO - 10.1103/PhysRevE.81.026208

M3 - Journal article

VL - 81

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 2

M1 - 026208

ER -