dorsal/arxiv
View SchemaDynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
| Authors | Aditi Sen De, Ujjwal Sen, Maciej Lewenstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505006 |
| URL | https://arxiv.org/abs/quant-ph/0505006 |
| DOI | 10.1103/PhysRevA.72.052319 |
| Journal | Phys. Rev. A 72, 052319 (2005) |
Abstract
We study the dynamics of entanglement in the infinite asymmetric XY spin chain, in an applied transverse field. The system is prepared in a thermal equilibrium state (ground state at zero temperature) at the initial instant, and it starts evolving after the transverse field is completely turned off. We investigate the evolved state of the chain at a given fixed time, and show that the nearest neighbor entanglement in the chain exhibits a critical behavior (which we call a dynamical phase transition), controlled by the initial value of the transverse field. The character of the dynamical phase transition is qualitatively different for short and long evolution times. We also find a nonmonotonic behavior of entanglement with respect to the temperature of the initial equilibrium state. Interestingly, the region of the initial field for which we obtain a nonmonotonicity of entanglement (with respect to temperature) is directly related to the position and character of the dynamical phase transition in the model.
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"abstract": "We study the dynamics of entanglement in the infinite asymmetric XY spin\nchain, in an applied transverse field. The system is prepared in a thermal\nequilibrium state (ground state at zero temperature) at the initial instant,\nand it starts evolving after the transverse field is completely turned off. We\ninvestigate the evolved state of the chain at a given fixed time, and show that\nthe nearest neighbor entanglement in the chain exhibits a critical behavior\n(which we call a dynamical phase transition), controlled by the initial value\nof the transverse field. The character of the dynamical phase transition is\nqualitatively different for short and long evolution times. We also find a\nnonmonotonic behavior of entanglement with respect to the temperature of the\ninitial equilibrium state. Interestingly, the region of the initial field for\nwhich we obtain a nonmonotonicity of entanglement (with respect to temperature)\nis directly related to the position and character of the dynamical phase\ntransition in the model.",
"arxiv_id": "quant-ph/0505006",
"authors": [
"Aditi Sen De",
"Ujjwal Sen",
"Maciej Lewenstein"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.72.052319",
"journal_ref": "Phys. Rev. A 72, 052319 (2005)",
"title": "Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain",
"url": "https://arxiv.org/abs/quant-ph/0505006"
},
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