Correlators for the Wigner-Smith time-delay matrix of chaotic cavities

Fabio Deelan Cunden; Francesco Mezzadri; Nick Simm; Pierpaolo Vivo

doi:10.1088/1751-8113/49/18/18LT01

Correlators for the Wigner-Smith time-delay matrix of chaotic cavities

Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm, Pierpaolo Vivo

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

18 Citations (Scopus)

345 Downloads (Pure)

Abstract

We study the Wigner–Smith time-delay matrix Q of a ballistic quantum dot supporting N scattering channels. We compute the v-point correlators of the power traces TrQ^K for arbitrary v ≥ 1 at leading order for large N using techniques from the random matrix theory approach to quantum chromodynamics. We conjecture that the cumulants of the TrQ^K's are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.

Original language	English
Article number	18LT01
Number of pages	20
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	49
Issue number	18
Early online date	24 Mar 2016
DOIs	https://doi.org/10.1088/1751-8113/49/18/18LT01
Publication status	Published - 6 May 2016

Access to Document

10.1088/1751-8113/49/18/18LT01

Full-text PDF (final published version)
Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Final published version, 1.01 MBLicence: CC BY

Handle.net

Persistent link

Embargoed Document

WignerSmithCorrelators
Accepted author manuscript, 454 KB
Request copy

Wegner estimates and universality for non-Hermitian matrices
Mezzadri, F. (Principal Investigator)
1/05/14 → 31/10/17
Project: Research
PHASE TRANSITIONS IN TWO DIMENSIONAL
Mezzadri, F. (Principal Investigator)
1/09/06 → 1/03/09
Project: Research

Cite this

@article{5e1ff65bf57b45b6b49dd5eca7717a7f,

title = "Correlators for the Wigner-Smith time-delay matrix of chaotic cavities",

abstract = "We study the Wigner–Smith time-delay matrix Q of a ballistic quantum dot supporting N scattering channels. We compute the v-point correlators of the power traces TrQK for arbitrary v ≥ 1 at leading order for large N using techniques from the random matrix theory approach to quantum chromodynamics. We conjecture that the cumulants of the TrQK's are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.",

author = "Cunden, {Fabio Deelan} and Francesco Mezzadri and Nick Simm and Pierpaolo Vivo",

year = "2016",

month = may,

day = "6",

doi = "10.1088/1751-8113/49/18/18LT01",

language = "English",

volume = "49 ",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing",

number = "18",

}

TY - JOUR

T1 - Correlators for the Wigner-Smith time-delay matrix of chaotic cavities

AU - Cunden, Fabio Deelan

AU - Mezzadri, Francesco

AU - Simm, Nick

AU - Vivo, Pierpaolo

PY - 2016/5/6

Y1 - 2016/5/6

N2 - We study the Wigner–Smith time-delay matrix Q of a ballistic quantum dot supporting N scattering channels. We compute the v-point correlators of the power traces TrQK for arbitrary v ≥ 1 at leading order for large N using techniques from the random matrix theory approach to quantum chromodynamics. We conjecture that the cumulants of the TrQK's are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.

AB - We study the Wigner–Smith time-delay matrix Q of a ballistic quantum dot supporting N scattering channels. We compute the v-point correlators of the power traces TrQK for arbitrary v ≥ 1 at leading order for large N using techniques from the random matrix theory approach to quantum chromodynamics. We conjecture that the cumulants of the TrQK's are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.

U2 - 10.1088/1751-8113/49/18/18LT01

DO - 10.1088/1751-8113/49/18/18LT01

M3 - Article (Academic Journal)

SN - 1751-8113

VL - 49

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 18

M1 - 18LT01

ER -

Correlators for the Wigner-Smith time-delay matrix of chaotic cavities

Abstract

Access to Document

Handle.net

Embargoed Document

Fingerprint

Projects

Wegner estimates and universality for non-Hermitian matrices

PHASE TRANSITIONS IN TWO DIMENSIONAL

Cite this