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Determinant representation for the time dependent correlation functions in the XX0 Heisenberg chain

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Abstract

Time dependent correlation functions in the Heisenberg XX0 chain in the external transverse magnetic field are calculated. For a finite chain normalized mean values of local spin products are represented as determinants of NxN matrices, N being the number of quasiparticles in the corresponding eigenstate of the Hamiltonian. In the thermodynamical limit (infinitely long chain), correlation functions are expressed in terms of Fredholm determinants of linear integral operators. (author) 24 refs.
Authors:
Colomo, F; [1]  Izergin, A G; [2]  Korepin, V E; [3]  Tognetti, V [4] 
  1. Istituto Nazionale di Fisica Nucleare, Florence (Italy)
  2. Istituto Nazionale di Fisica Nucleare, Pisa (Italy)
  3. State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics
  4. Firenze Univ. (Italy). Dipt. di Fisica
Publication Date:
Apr 01, 1992
Product Type:
Technical Report
Report Number:
LAPP-L-381-92
Reference Number:
SCA: 665430; PA: AIX-25:005065; EDB-94:016520; ERA-19:005932; NTS-94:014808; SN: 93001121535
Resource Relation:
Other Information: PBD: Apr 1992
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HEISENBERG MODEL; CORRELATION FUNCTIONS; EIGENSTATES; FREDHOLM EQUATION; MAGNETIC FIELDS; MATRICES; QUASI PARTICLES; SPIN; TIME DEPENDENCE; 665430; OTHER TOPICS IN QUANTUM FLUIDS AND SOLIDS
OSTI ID:
10109998
Research Organizations:
Grenoble-1 Univ., 74 - Annecy (France). Lab. de Physique des Particules Elementaires
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94610029; TRN: FR9303118005065
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
40 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Colomo, F, Izergin, A G, Korepin, V E, and Tognetti, V. Determinant representation for the time dependent correlation functions in the XX0 Heisenberg chain. France: N. p., 1992. Web.
Colomo, F, Izergin, A G, Korepin, V E, & Tognetti, V. Determinant representation for the time dependent correlation functions in the XX0 Heisenberg chain. France.
Colomo, F, Izergin, A G, Korepin, V E, and Tognetti, V. 1992. "Determinant representation for the time dependent correlation functions in the XX0 Heisenberg chain." France.
@misc{etde_10109998,
title = {Determinant representation for the time dependent correlation functions in the XX0 Heisenberg chain}
 author = {Colomo, F, Izergin, A G, Korepin, V E, and Tognetti, V}
 abstractNote = {Time dependent correlation functions in the Heisenberg XX0 chain in the external transverse magnetic field are calculated. For a finite chain normalized mean values of local spin products are represented as determinants of NxN matrices, N being the number of quasiparticles in the corresponding eigenstate of the Hamiltonian. In the thermodynamical limit (infinitely long chain), correlation functions are expressed in terms of Fredholm determinants of linear integral operators. (author) 24 refs.}
 place = {France}
 year = {1992}
 month = {Apr}
 }