dorsal/arxiv
View SchemaNonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain
| Authors | Aditi Sen De, Ujjwal Sen, Maciej Lewenstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407114 |
| URL | https://arxiv.org/abs/quant-ph/0407114 |
| DOI | 10.1103/PhysRevA.70.060304 |
| Journal | Phys. Rev. A (Rapid Comm.) 70, 060304 (2004) |
Abstract
We consider the problem of the validity of a statistical mechanical description of two-site entanglement in an infinite spin chain described by the XY model Hamiltonian. We show that the two-site entanglement of the state, evolved from the initial equilibrium state, after a change of the magnetic field, does not approach its equilibrium value. This suggests that two-site entanglement, like (single-site) magnetization, is a nonergodic quantity in this model. Moreover we show that these two nonergodic quantities behave in a complementary way.
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"abstract": "We consider the problem of the validity of a statistical mechanical\ndescription of two-site entanglement in an infinite spin chain described by the\nXY model Hamiltonian. We show that the two-site entanglement of the state,\nevolved from the initial equilibrium state, after a change of the magnetic\nfield, does not approach its equilibrium value. This suggests that two-site\nentanglement, like (single-site) magnetization, is a nonergodic quantity in\nthis model. Moreover we show that these two nonergodic quantities behave in a\ncomplementary way.",
"arxiv_id": "quant-ph/0407114",
"authors": [
"Aditi Sen De",
"Ujjwal Sen",
"Maciej Lewenstein"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.70.060304",
"journal_ref": "Phys. Rev. A (Rapid Comm.) 70, 060304 (2004)",
"title": "Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain",
"url": "https://arxiv.org/abs/quant-ph/0407114"
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