dorsal/arxiv
View SchemaNon-Markovian dynamics of a qubit
| Authors | Sabrina Maniscalco, Francesco Petruccione |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509208 |
| URL | https://arxiv.org/abs/quant-ph/0509208 |
| DOI | 10.1103/PhysRevA.73.012111 |
| Journal | Phys. Rev. A 73,012111 (2006) |
Abstract
In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the post-Markovian master equation recently proposed in Ref. [A. Shabani and D.A. Lidar, Phys. Rev. A {\bf 71}, 020101(R) (2005)] and we study the dynamics for an exponentially decaying memory kernel. We compare the solution of the post-Markovian master equation with the solution of the typical memory kernel master equation. Our results lead to a new physical interpretation of the reservoir correlation function and bring to light the limits of usability of master equations with memory for the system under consideration.
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"abstract": "In this paper we investigate the non-Markovian dynamics of a qubit by\ncomparing two generalized master equations with memory. In the case of a\nthermal bath, we derive the solution of the post-Markovian master equation\nrecently proposed in Ref. [A. Shabani and D.A. Lidar, Phys. Rev. A {\\bf 71},\n020101(R) (2005)] and we study the dynamics for an exponentially decaying\nmemory kernel. We compare the solution of the post-Markovian master equation\nwith the solution of the typical memory kernel master equation. Our results\nlead to a new physical interpretation of the reservoir correlation function and\nbring to light the limits of usability of master equations with memory for the\nsystem under consideration.",
"arxiv_id": "quant-ph/0509208",
"authors": [
"Sabrina Maniscalco",
"Francesco Petruccione"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012111",
"journal_ref": "Phys. Rev. A 73,012111 (2006)",
"title": "Non-Markovian dynamics of a qubit",
"url": "https://arxiv.org/abs/quant-ph/0509208"
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