dorsal/arxiv
View SchemaDynamical symmetry and analytical solutions of the non-autonomous quantum master equation of the dissipative two-level system: decoherence of quantum register
| Authors | Shun-Jin Wang, Jun-Hong An, Hong-Gang Luo, Cheng-Long Jia |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505067 |
| URL | https://arxiv.org/abs/quant-ph/0505067 |
| DOI | 10.1088/0305-4470/36/3/316 |
| Journal | J. Phys. A: Math. Gen. 36 (2003) 829-840 |
Abstract
Based on the non-autonomous quantum master equation, we investigate the dissipative and decoherence properties of the two-level atom system interacting with the environment of thermal quantum radiation fields. For this system, by a novel algebraic dynamic method, the dynamical symmetry of the system is found, the quantum master equation is converted into a Schr\"{o}dinger-like equation and the non-Hermitian rate (quantum Liouville) operator of the master equation is expressed as a linear function of the dynamical u(2) generators. Furthermore, the integrability of the non-autonomous master equation has been proved for the first time. Based on the time-dependent analytical solutions, the asymptotic behavior of the solution has been examined and the approach to the equilibrium state has been proved. Finally, we have studied the decoherence property of the multiple two-level atom system coupled to the thermal radiation fields, which are related to the quantum register.
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"abstract": "Based on the non-autonomous quantum master equation, we investigate the\ndissipative and decoherence properties of the two-level atom system interacting\nwith the environment of thermal quantum radiation fields. For this system, by a\nnovel algebraic dynamic method, the dynamical symmetry of the system is found,\nthe quantum master equation is converted into a Schr\\\"{o}dinger-like equation\nand the non-Hermitian rate (quantum Liouville) operator of the master equation\nis expressed as a linear function of the dynamical u(2) generators.\nFurthermore, the integrability of the non-autonomous master equation has been\nproved for the first time. Based on the time-dependent analytical solutions,\nthe asymptotic behavior of the solution has been examined and the approach to\nthe equilibrium state has been proved. Finally, we have studied the decoherence\nproperty of the multiple two-level atom system coupled to the thermal radiation\nfields, which are related to the quantum register.",
"arxiv_id": "quant-ph/0505067",
"authors": [
"Shun-Jin Wang",
"Jun-Hong An",
"Hong-Gang Luo",
"Cheng-Long Jia"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/36/3/316",
"journal_ref": "J. Phys. A: Math. Gen. 36 (2003) 829-840",
"title": "Dynamical symmetry and analytical solutions of the non-autonomous quantum master equation of the dissipative two-level system: decoherence of quantum register",
"url": "https://arxiv.org/abs/quant-ph/0505067"
},
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