2015/08/10 by Stephen M. Barnett, Barnett, Stephen M., James D. Cresser +3 · 2 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Quantum Information and Cryptography #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1508.02442
arxiv created 2015/08/10 · openalex publication_date 2015/08/10 · arxiv updated 2015/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyse the properties of a strongly-damped quantum harmonic oscillator by means of an exact diagonalisation of the full Hamiltonian, including both the oscillator and the reservoir degrees of freedom to which it is coupled. Many of the properties of the oscillator, including its steady-state properties and entanglement with the reservoir can be understood and quantified in terms of a simple probability density, which we may associate with the ground-state frequency spectrum of the oscillator.