Evolution operators for quantum chains

Sergey Sergeev

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Discrete-time evolution operators in integrable quantum lattice models are sometimes more fundamental objects than Hamiltonians. In this paper, we study an evolution operator for the one-dimensional integrable q-deformed Bose gas with XXZ-type impurities and find its spectrum. Evolution operators give a new interpretation of known integrable systems, for instance, our system describes apparently a simplest laser with a clear resonance peak in the spectrum
Original languageEnglish
Pages (from-to)209-213
Number of pages5
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
DOIs
Publication statusPublished - 2007
Externally publishedYes

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Hamiltonians
Evolution Operator
Impurities
operators
Lasers
Gases
Bose Gas
Integrable Systems
Lattice Model
Discrete-time
Laser
impurities
gases
lasers

Cite this

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title = "Evolution operators for quantum chains",
abstract = "Discrete-time evolution operators in integrable quantum lattice models are sometimes more fundamental objects than Hamiltonians. In this paper, we study an evolution operator for the one-dimensional integrable q-deformed Bose gas with XXZ-type impurities and find its spectrum. Evolution operators give a new interpretation of known integrable systems, for instance, our system describes apparently a simplest laser with a clear resonance peak in the spectrum",
author = "Sergey Sergeev",
year = "2007",
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Evolution operators for quantum chains. / Sergeev, Sergey.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, 2007, p. 209-213.

Research output: Contribution to journalArticle

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AU - Sergeev, Sergey

PY - 2007

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AB - Discrete-time evolution operators in integrable quantum lattice models are sometimes more fundamental objects than Hamiltonians. In this paper, we study an evolution operator for the one-dimensional integrable q-deformed Bose gas with XXZ-type impurities and find its spectrum. Evolution operators give a new interpretation of known integrable systems, for instance, our system describes apparently a simplest laser with a clear resonance peak in the spectrum

U2 - 10.1088/1751-8113/40/8/F03

DO - 10.1088/1751-8113/40/8/F03

M3 - Article

VL - 40

SP - 209

EP - 213

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 1751-8113

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