Intermediate statistics in quantum maps

O Giraud; J Marklof; SC O'Keefe

doi:10.1088/0305-4470/37/28/L01

Intermediate statistics in quantum maps

O Giraud, J Marklof, SC O'Keefe

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

28 Citations (Scopus)

Abstract

We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the evaluation of the spectral two-point correlation form factor at small argument, which in turn yields the asymptotic level compressibility for macroscopic correlation lengths.

Translated title of the contribution	Intermediate statistics in quantum maps
Original language	English
Pages (from-to)	L303 - L311
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	37 (38)
DOIs	https://doi.org/10.1088/0305-4470/37/28/L01
Publication status	Published - Jul 2004

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS Number: 842PT

Access to Document

10.1088/0305-4470/37/28/L01

http://www.iop.org/EJ/article/0305-4470/37/28/L01/a4_28_l01.pdf

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abstract = "We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the evaluation of the spectral two-point correlation form factor at small argument, which in turn yields the asymptotic level compressibility for macroscopic correlation lengths.",

author = "O Giraud and J Marklof and SC O'Keefe",

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year = "2004",

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T1 - Intermediate statistics in quantum maps

AU - Giraud, O

AU - Marklof, J

AU - O'Keefe, SC

N1 - Publisher: IOP Publishing Ltd Other identifier: IDS Number: 842PT

PY - 2004/7

Y1 - 2004/7

N2 - We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the evaluation of the spectral two-point correlation form factor at small argument, which in turn yields the asymptotic level compressibility for macroscopic correlation lengths.

AB - We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the evaluation of the spectral two-point correlation form factor at small argument, which in turn yields the asymptotic level compressibility for macroscopic correlation lengths.

U2 - 10.1088/0305-4470/37/28/L01

DO - 10.1088/0305-4470/37/28/L01

M3 - Article (Academic Journal)

VL - 37 (38)

SP - L303 - L311

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

ER -