Quantum dynamics of the damped harmonic oscillator
dc.contributor.author | Philbin, Thomas G. | |
dc.date.accessioned | 2013-06-21T08:41:59Z | |
dc.date.issued | 2012-08-31 | |
dc.description.abstract | The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of additional harmonic oscillators as a reservoir. But a discrete reservoir cannot directly yield dynamics such as Ohmic damping (proportional to velocity) of the oscillator of interest. By using a continuum of oscillators as a reservoir, we canonically quantize the harmonic oscillator with Ohmic damping and also with general damping behaviour. The dynamics of a damped oscillator is determined by an arbitrary effective susceptibility that obeys Kramers-Kronig relations. This approach offers an alternative description of nano-mechanical oscillators and opto-mechanical systems. | en_GB |
dc.identifier.citation | Vol. 14, article 083043 | en_GB |
dc.identifier.doi | 10.1088/1367-2630/14/8/083043 | |
dc.identifier.uri | http://hdl.handle.net/10871/11281 | |
dc.language.iso | en | en_GB |
dc.publisher | Institute of Physics | en_GB |
dc.title | Quantum dynamics of the damped harmonic oscillator | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2013-06-21T08:41:59Z | |
dc.identifier.issn | 1367-2630 | |
dc.description | Copyright © 2012 Institute of Physics | en_GB |
dc.description | Open Access journal | en_GB |
dc.identifier.eissn | 1367-2630 | |
dc.identifier.journal | New Journal of Physics | en_GB |