dorsal/arxiv
View SchemaCorrelation Functions in Spin Chains and Information Theory
| Authors | B. -Q. Jin, V. E. Korepin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0309188 |
| URL | https://arxiv.org/abs/quant-ph/0309188 |
| Journal | Phys. Rev. A, vol 69, issue 6, 062314, June 2004 |
Abstract
Antiferromagnetic spin chains play an important role in condensed matter physics and statistical mechanics. Recently XXX spin chain was discussed in relation to the information theory. We consider here localizable entanglement, introduced recently by F.Verstraete, M.Popp and J.I.Cirac. That is how much entanglement can be localized on two spins on average by performing local measurements on the other individual spins in a system of many interacting spins. We consider the ground state in antiferromagnetic spin chains and study localizable entanglement between two spins as a function of the distance. We start with isotropic spin chain. Then we study effect of anisotropy and magnetic field. We conclude that anisotropy increases localizable entanglement. We found an explicit dependence of critical exponents in XXZ spin chain on magnetic field. We discovered that the cases of high symmetry corresponds to high sensitivity of magnetic field. We also calculated the concurrence before the measurement to illustrate that the measurment raises the concurrence.
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"abstract": "Antiferromagnetic spin chains play an important role in condensed matter\nphysics and statistical mechanics. Recently XXX spin chain was discussed in\nrelation to the information theory. We consider here localizable entanglement,\nintroduced recently by F.Verstraete, M.Popp and J.I.Cirac. That is how much\nentanglement can be localized on two spins on average by performing local\nmeasurements on the other individual spins in a system of many interacting\nspins. We consider the ground state in antiferromagnetic spin chains and study\nlocalizable entanglement between two spins as a function of the distance. We\nstart with isotropic spin chain.\n Then we study effect of anisotropy and magnetic field. We conclude that\nanisotropy increases localizable entanglement. We found an explicit dependence\nof critical exponents in XXZ spin chain on magnetic field. We discovered that\nthe cases of high symmetry corresponds to high sensitivity of magnetic field.\nWe also calculated the concurrence before the measurement to illustrate that\nthe measurment raises the concurrence.",
"arxiv_id": "quant-ph/0309188",
"authors": [
"B. -Q. Jin",
"V. E. Korepin"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"journal_ref": "Phys. Rev. A, vol 69, issue 6, 062314, June 2004",
"title": "Correlation Functions in Spin Chains and Information Theory",
"url": "https://arxiv.org/abs/quant-ph/0309188"
},
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