dorsal/arxiv
View SchemaTemperature effects on mixed state geometric phase
| Authors | A. T. Rezakhani, P. Zanardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512250 |
| URL | https://arxiv.org/abs/quant-ph/0512250 |
| DOI | 10.1103/PhysRevA.73.052117 |
| Journal | Phys. Rev. A 73, 052117 (2006) |
Abstract
Geometric phase of an open quantum system that is interacting with a thermal environment (bath) is studied through some simple examples. The system is considered to be a simple spin-half particle which is weakly coupled to the bath. It is seen that even in this regime the geometric phase can vary with temperature. In addition, we also consider the system under an adiabatically time-varying magnetic field which is weakly coupled to the bath. An important feature of this model is that it reveals existence of a temperature-scale in which adiabaticity condition is preserved and beyond which the geometric phase is varying quite rapidly with temperature. This temperature is exactly the one in which the geometric phase vanishes. This analysis has some implications in realistic implementations of geometric quantum computation.
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"abstract": "Geometric phase of an open quantum system that is interacting with a thermal\nenvironment (bath) is studied through some simple examples. The system is\nconsidered to be a simple spin-half particle which is weakly coupled to the\nbath. It is seen that even in this regime the geometric phase can vary with\ntemperature. In addition, we also consider the system under an adiabatically\ntime-varying magnetic field which is weakly coupled to the bath. An important\nfeature of this model is that it reveals existence of a temperature-scale in\nwhich adiabaticity condition is preserved and beyond which the geometric phase\nis varying quite rapidly with temperature. This temperature is exactly the one\nin which the geometric phase vanishes. This analysis has some implications in\nrealistic implementations of geometric quantum computation.",
"arxiv_id": "quant-ph/0512250",
"authors": [
"A. T. Rezakhani",
"P. Zanardi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.052117",
"journal_ref": "Phys. Rev. A 73, 052117 (2006)",
"title": "Temperature effects on mixed state geometric phase",
"url": "https://arxiv.org/abs/quant-ph/0512250"
},
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