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Density matrices for finite segments of Heisenberg chains of arbitrary length
| Content Provider | Semantic Scholar |
|---|---|
| Author | Damerau, Jens G̈ohmann, Frank Hasenclever, Nils P. Kl̈umper, Andreas |
| Copyright Year | 2008 |
| Abstract | We derive a multiple integral representing the ground state density matrix of a segment of lengthm of the XXZ spin chain onL lattice sites, which depends onL only parametrically. This allows us to treat chains of arbit rary finite length. Specializing to the isotropic limit of the XXX chain we show for small m that the multiple integrals factorize. We conjecture that t is property holds for arbitrarym and suggest an exponential formula for the density matrix which involves only a double Cauchy type inte gral in the exponent. We demonstrate the efficiency of our formula by com puting the next-to-nearest neighbour zz-correlation function for chain lengths ranging from two to macroscopic numbers. PACS: 05.30.-d, 75.10.Pq e-mail: damerau@physik.uni-wuppertal.de †e-mail: goehmann@physik.uni-wuppertal.de ‡e-mail: hasenclever@physik.uni-wuppertal.de §e-mail: kluemper@physik.uni-wuppertal.de |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/cond-mat/0701463v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Baxter (robot) Concentrate Dosage Form Density matrix Doctor of Law Email Ground state Heisenberg picture JD - Java Decompiler Magnetic Fields Nonlinear system Picture archiving and communication system RSA problem Stimulation (motivation) Thermodynamics exponential |
| Content Type | Text |
| Resource Type | Article |