Stochastic averaging in quantum dynamics driven by colored noise: a nonperturbative cluster cumulant approach
✍ Scribed by Sruti Guha; Debashis Mukherjee
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 635 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
We present here a nonperturbative cluster cumulant method for generating the stochastically averaged evolution operator Ufor quantum systems driven by Omstein-Uhlenbeck colored noise (real and complex). The method induces a boson mapping of the stochastic variable, and interprets the averaging as an expectation value with respect to the boson vacuum IO,). The evolution of the mapped operator CJ,, written in a factorized cluster expansion, is governed by a deterministic Hamiltonian HB defined in an expanded Fock space. The apparatus of our recently developed multireference coupled cluster formalism is invoked to solve the resultant cluster cumulant equations. Numerical applications are presented to illustrate the formalism.