| Автор | Joynt, Robert |
| Автор | Nguyen, Bich Ha |
| Автор | Nguyen, Van Hieu |
| Дата выпуска | 2010-06-01 |
| dc.description | We present a systematic formalism for the computation of the density matrix of an N-state quantum system in the presence of classical noise or a coupling to the environment. In this formalism, the density matrix of the system is given as an expansion in the generators of the SU(N) group with real coefficients. This leads to a system of master equations. The parameters in these equations may be approximately expressed in terms of the components of the Redfield tensor, when the Born and Markov approximations are valid. The general form of the solution of the system of master equations is established. All relaxation and dephasing rates are then very simply expressed as eigenvalues of a certain matrix. This gives the formulation its simplicity and makes it uniquely suitable for numerical computation. The spectral representation of the components of the Redfield tensor is derived in the case when the environment is a harmonic oscillator bath in thermal equilibrium. Beyond the Born approximation, the decoherence of the system is determined by the Lindblad formula for the Liouvillian superoperator. The Lindblad formulae of some models of multi-state quantum systems are also presented. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2010 Vietnam Academy of Science & Technology |
| Название | Theory of decoherence of N-state quantum systems in the Born–Markov approximation |
| Тип | rev |
| DOI | 10.1088/2043-6254/1/2/023001 |
| Electronic ISSN | 2043-6262 |
| Print ISSN | 2043-6254 |
| Журнал | Advances in Natural Sciences: Nanoscience and Nanotechnology |
| Том | 1 |
| Первая страница | 23001 |
| Последняя страница | 23016 |
| Аффилиация | Joynt, Robert; Department of Physics, University of Wisconsin, Madison, WI, USA |
| Аффилиация | Nguyen, Bich Ha; Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany; Institute of Materials Science, Vietnam Academy of Science and Technology, Hanoi, Vietnam |
| Аффилиация | Nguyen, Van Hieu; Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany; Institute of Materials Science, Vietnam Academy of Science and Technology, Hanoi, Vietnam |
| Выпуск | 2 |
