dorsal/arxiv
View SchemaOn geometric phases for quantum trajectories
| Authors | Erik Sjöqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608237 |
| URL | https://arxiv.org/abs/quant-ph/0608237 |
| DOI | 10.1556/APH.26.2006.1-2.23 |
| Journal | Acta Physica Hungarica B: Quantum Electronics 26, 195 (2006) |
Abstract
A sequence of completely positive maps can be decomposed into quantum trajectories. The geometric phase or holonomy of such a trajectory is delineated. For nonpure initial states, it is shown that well-defined holonomies can be assigned by using Uhlmann's concept of parallel transport along the individual trajectories. We put forward an experimental realization of the geometric phase for a quantum trajectory in interferometry. We argue that the average over the phase factors for all quantum trajectories that build up a given open system evolution, fails to reflect the geometry of the open system evolution itself.
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"abstract": "A sequence of completely positive maps can be decomposed into quantum\ntrajectories. The geometric phase or holonomy of such a trajectory is\ndelineated. For nonpure initial states, it is shown that well-defined\nholonomies can be assigned by using Uhlmann\u0027s concept of parallel transport\nalong the individual trajectories. We put forward an experimental realization\nof the geometric phase for a quantum trajectory in interferometry. We argue\nthat the average over the phase factors for all quantum trajectories that build\nup a given open system evolution, fails to reflect the geometry of the open\nsystem evolution itself.",
"arxiv_id": "quant-ph/0608237",
"authors": [
"Erik Sj\u00f6qvist"
],
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"quant-ph"
],
"doi": "10.1556/APH.26.2006.1-2.23",
"journal_ref": "Acta Physica Hungarica B: Quantum Electronics 26, 195 (2006)",
"title": "On geometric phases for quantum trajectories",
"url": "https://arxiv.org/abs/quant-ph/0608237"
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