Quantum signatures of the optomechanical instability

Physical Review Letters

Volumn 109, Issue 25, 2012, Pages

  Qian, Jiang ^a   Clerk, A A ^b   Hammerer, K ^c   Marquardt, Florian ^d,e  

^a UNIVERSITY OF MUNICH   (Germany)

^b MCGILL UNIVERSITY   (Canada)

^c LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^d UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^e MAX PLANCK INSTITUTE FOR THE SCIENCE OF LIGHT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS LASERS; CORRELATION FUNCTION; COUPLING STRENGTHS; DECAY TIME; HOMODYNE TOMOGRAPHY; MECHANICAL FREQUENCY; MECHANICAL MOTIONS; MECHANICAL OSCILLATORS; OPTICAL CAVITIES; OPTICAL DECAY; OPTOMECHANICAL; ORDERS OF MAGNITUDE; QUANTUM SIGNATURE; SELF-INDUCED OSCILLATIONS; STEADY STATE; TIME-SCALES;

ATOMIC PHYSICS; PHYSICS;

DECAY (ORGANIC);

EID: 84871338888     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.253601     Document Type: Article

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35. See Supplemental Material. at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.253601 for the following details. In the first section we prove that the normalized photon correlation function of the output optical field is idential to the normalized intra-cavity optical correlation computed in the Eq. in the main text. In the second section we prove that the photon correlation function always approaches one exponentially, with the decay rate stated in the main text. In the third section we prove that, in the semiclassical picture, the appearance of higher harmonics in the photon correlation function coincides with the start of the self-induced oscillation. Finally in the fourth section, we show that phase fluctuations can qualitatively account for the longtime decay of the photon correlation function in the blue-detuned regime, whereas optomechanical cooling can qualitatively account for the decay in the red-detuned regime.
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