Dissipation and decoherence in a quantum oscillator
arXiv:quant-ph/0506087 · doi:10.1007/s10955-005-8018-6
Abstract
The time development of the reduced density matrix for a quantum oscillator damped by coupling it to an ohmic environment is calculated via an identity of the Debye-Waller form. Results obtained some years ago by Hakim and the author in the free particle limit [1] are thus recovered. The evolution of a free particle in a prepared initial state is examined, and a previously published exchange [2,3] is illuminated with figures showing no decoherence without dissipation. [1] V. Hakim and V. Ambegaokar, Phys. Rev. A 32, 423 (1985). [2] G.W. Ford and R.F. O'Connell, Phys. Rev. A 70, 026102 (2004). [3] D. Gobert, J. von Delft, and V. Ambegaokar, Phys. Rev. A 70, 0261001 (2004).
To appear in the Journal of Statistical Physics (Langer-Hohenberg issue.) Accepted version with minor corrections and revisions
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- Equilibration of a dissipative quantum oscillator
- Local phonon mode in a fermionic bath, and its relation to Kondo effect
- Nonadiabatic transition paths from quantum jump trajectories