Dissipation and Decoherence in a Quantum Oscillator
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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(10) are thus recovered. The evolution of a free particle in a prepared initial state is examined, and a previously published exchange(5,9) is illuminated with figures showing no decoherence without dissipation.
Key WordsQuantum oscillator dissipation time evolution of reduced density matrix Debye-Waller identity Decoherence no decoherence without dissipation
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