dorsal/arxiv
View SchemaEntanglement in the XX spin chain with an energy current
| Authors | V. Eisler, Z. Zimboras |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412118 |
| URL | https://arxiv.org/abs/quant-ph/0412118 |
| DOI | 10.1103/PhysRevA.71.042318 |
| Journal | PRA 71, 042318 (2005) |
Abstract
We consider the ground state of the XX chain that is constrained to carry a current of energy. The von Neumann entropy of a block of $L$ neighboring spins, describing entanglement of the block with the rest of the chain, is computed. Recent calculations have revealed that the entropy in the XX model diverges logarithmically with the size of the subsystem. We show that the presence of the energy current increases the prefactor of the logarithmic growth. This result indicates that the emergence of the energy current gives rise to an increase of entanglement.
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"abstract": "We consider the ground state of the XX chain that is constrained to carry a\ncurrent of energy. The von Neumann entropy of a block of $L$ neighboring spins,\ndescribing entanglement of the block with the rest of the chain, is computed.\nRecent calculations have revealed that the entropy in the XX model diverges\nlogarithmically with the size of the subsystem. We show that the presence of\nthe energy current increases the prefactor of the logarithmic growth. This\nresult indicates that the emergence of the energy current gives rise to an\nincrease of entanglement.",
"arxiv_id": "quant-ph/0412118",
"authors": [
"V. Eisler",
"Z. Zimboras"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.71.042318",
"journal_ref": "PRA 71, 042318 (2005)",
"title": "Entanglement in the XX spin chain with an energy current",
"url": "https://arxiv.org/abs/quant-ph/0412118"
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