dorsal/arxiv
View SchemaDynamics of a large spin with weak dissipation
| Authors | T. Vorrath, T. Brandes, B. Kramer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312140 |
| URL | https://arxiv.org/abs/quant-ph/0312140 |
| DOI | 10.1016/j.chemphys.2003.08.030 |
| Journal | Chemical Physics 296, 295 (2004) |
Abstract
We investigate the generalization of the spin-boson model to arbitrary spin size. The Born-Markov approximation is employed to derive a master equation in the regime of small coupling strengths to the environment. For spin one half, the master equation transforms into a set of Bloch equations, the solution of which is in good agreement with results of the spin-boson model for weak ohmic dissipation. For larger spins, we find a superradiance-like behavior known from the Dicke model. The influence of the nonresonant bosons of the dissipative environment can lead to the formation of a beat pattern in the dynamics of the $z$-component of the spin. The beat frequency is approximately proportional to the cutoff $\omega_c$ of the spectral function.
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"abstract": "We investigate the generalization of the spin-boson model to arbitrary spin\nsize. The Born-Markov approximation is employed to derive a master equation in\nthe regime of small coupling strengths to the environment. For spin one half,\nthe master equation transforms into a set of Bloch equations, the solution of\nwhich is in good agreement with results of the spin-boson model for weak ohmic\ndissipation. For larger spins, we find a superradiance-like behavior known from\nthe Dicke model. The influence of the nonresonant bosons of the dissipative\nenvironment can lead to the formation of a beat pattern in the dynamics of the\n$z$-component of the spin. The beat frequency is approximately proportional to\nthe cutoff $\\omega_c$ of the spectral function.",
"arxiv_id": "quant-ph/0312140",
"authors": [
"T. Vorrath",
"T. Brandes",
"B. Kramer"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1016/j.chemphys.2003.08.030",
"journal_ref": "Chemical Physics 296, 295 (2004)",
"title": "Dynamics of a large spin with weak dissipation",
"url": "https://arxiv.org/abs/quant-ph/0312140"
},
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