Dressed-state approach to quantum systems
Abstract
Using the nonperturbative method of dressed states introduced in a previous publication [N. P. Andion, A. P. C. Malbouisson, and A. Mattos Neto, J. Phys. A 34, 3735 (2001)], we study effects of the environment on a quantum-mechanical system, in the case in which the environment is modeled by an ensemble of noninteracting harmonic oscillators. This method makes it possible to separate the whole system into the dressed mechanical system and the dressed environment, in terms of which a nonperturbative approach is possible. When applied to the Brownian motion, we give explicit nonperturbative formulas for the classical path of the particle in the weak and strong coupling regimes. When applied to studying atomic behaviors in cavities, the method accounts for experimentally observed inhibition of atomic decay in small cavities.
- Publication:
-
Physical Review A
- Pub Date:
- October 2002
- DOI:
- 10.1103/PhysRevA.66.042118
- arXiv:
- arXiv:quant-ph/0205042
- Bibcode:
- 2002PhRvA..66d2118F
- Keywords:
-
- 03.65.Ca;
- 32.80.Pj;
- Formalism;
- Optical cooling of atoms;
- trapping;
- Quantum Physics;
- High Energy Physics - Theory
- E-Print:
- doi:10.1103/PhysRevA.66.042118