Abstract
In this chapter, I will apply the transfer matrix method developed in Chap. 4 to novel cooling geometries outside cavities (Sects. 5.1 and 5.2), as well as inside active ring cavities (Sect.5.3).
[...] [T]he sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work [...].
J. von Neumann, Method in the Physical Sciences (1955)
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References
Metzger, C. H. & Karrai, K. Cavity cooling of a microlever. Nature 432, 1002 (2004).
Arcizet, O., Cohadon, P. F., Briant, T., Pinard, M. & Heidmann, A. Radiation-pressure cooling and optomechanical instability of a micromirror. Nature 444, 71 (2006).
Gigan, S. et al. Self-cooling of a micromirror by radiation pressure. Nature 444, 67 (2006).
Schliesser, A., Rivière, R., Anetsberger, G., Arcizet, O. & Kippenberg, T. J. Resolved-sideband cooling of a micromechanical oscillator. Nature Phys. 4, 415 (2008).
Thompson, J. D. et al. Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane. Nature 452, 72 (2008).
Favero, I. & Karrai, K. Cavity cooling of a nanomechanical resonator by light scattering. New J. Phys. 10, 095006 (2008).
Xuereb, A., Domokos, P., Horak, P. & Freegarde, T. Cavity cooling of atoms: within and without a cavity. Eur. Phys. J. D 65, 273 (2011).
Horak, P., Hechenblaikner, G., Gheri, K. M., Stecher, H. & Ritsch, H. Cavity-induced atom cooling in the strong coupling regime. Phys. Rev. Lett. 79, 4974 (1997).
Leibrandt, D. R., Labaziewicz, J., Vuletić, V. & Chuang, I. L. Cavity sideband cooling of a single trapped ion. Phys. Rev. Lett. 103, 103001 (2009).
Koch, M. et al. Feedback cooling of a single neutral atom. Phys. Rev. Lett. 105, 173003 (2010).
Bhattacharya, M. & Meystre, P. Trapping and cooling a mirror to its quantum mechanical ground state. Phys. Rev. Lett. 99, 073601 (2007).
Domokos, P. & Ritsch, H. Mechanical effects of light in optical resonators. J. Opt. Soc. Am. B 20, 1098 (2003).
Mücke, M. et al. Electromagnetically induced transparency with single atoms in a cavity. Nature 465, 755 (2010).
Steck, D. A. Rubidium 85 D Line Data (2008). URL http://steck.us/alkalidata/rubidium85numbers.pdf. Rubidium 85 D Line Data.
Xuereb, A., Freegarde, T., Horak, P. & Domokos, P. Optomechanical cooling with generalized interferometers. Phys. Rev. Lett. 105, 013602 (2010).
Braginsky, V. B. & Manukin, A. B. Ponderomotive effects of electromagnetic radiation. Sov. Phys. JETP 25, 653 (1967).
Gröblacher, S., Hammerer, K., Vanner, M. R. & Aspelmeyer, M. Observation of strong coupling between a micromechanical resonator and an optical cavity field. Nature 460, 724 (2009).
Schliesser, A. & Kippenberg, T. J. Cavity optomechanics with whispering-gallery mode optical micro-resonators. In Paul Berman, E. A. & Lin, C. (eds.) Advances In Atomic, Molecular, and Optical Physics, vol. 58 of Advances In Atomic, Molecular, and Optical Physics, 207 (Academic Press, 2010).
Rempe, G., Thompson, R. J., Kimble, H. J. & Lalezari, R. Measurement of ultralow losses in an optical interferometer. Opt. Lett. 17, 363 (1992).
Gangl, M. & Ritsch, H. Cold atoms in a high-\({Q}\) ring cavity. Phys. Rev. A 61, 043405 (2000).
Elsässer, T., Nagorny, B. & Hemmerich, A. Collective sideband cooling in an optical ring cavity. Phys. Rev. A 67, 051401 (2003).
Kruse, D. et al. Cold atoms in a high-\({Q}\) ring cavity. Phys. Rev. A 67, 051802 (2003).
Nagy, D., Asbóth, J. K.& Domokos, P. Collective cooling of atoms in a ring cavity. Acta Physica Hungarica B 26, 141 (2006).
Slama, S., Bux, S., Krenz, G., Zimmermann, C.& Courteille, P. W. Superradiant Rayleigh scattering and collective atomic recoil lasing in a ring cavity. Phys. Rev. Lett. 98, 053603 (2007).
Hemmerling, M.& Robb, G. R. M. Slowing atoms using optical cavities pumped by phase-modulated light. Phys. Rev. A 82, 053420 (2010).
Schulze, R. J., Genes, C.& Ritsch, H. Optomechanical approach to cooling of small polarizable particles in a strongly pumped ring cavity. Phys. Rev. A 81, 063820 (2010).
Niedenzu, W., Schulze, R., Vukics, A.& Ritsch, H. Microscopic dynamics of ultracold particles in a ring-cavity optical lattice. Phys. Rev. A 82, 043605 (2010).
Vuletić, V. Laser Physics at the Limits, Chap. Cavity Cooling with a Hot Cavity, 305 (Springer, 2001).
Salzburger, T.& Ritsch, H. Lasing and cooling in a finite-temperature cavity. Phys. Rev. A 74, 033806 (2006).
Huang, S.& Agarwal, G. S. Enhancement of cavity cooling of a micromechanical mirror using parametric interactions. Phys. Rev. A 79, 013821 (2009).
Kumar, T., Bhattacherjee, A. B.& ManMohan. Dynamics of a movable micromirror in a nonlinear optical cavity. Phys. Rev. A 81, 013835 (2010).
Bonifacio, R., De Salvo, L., Narducci, L. M.& D’Angelo, E. J. Exponential gain and self-bunching in a collective atomic recoil laser. Phys. Rev. A 50, 1716 (1994).
Xuereb, A., Freegarde, T.& Horak, P. Amplified optomechanics in a unidirectional ring cavity. J. Mod. Opt. 58, 1342 (2011).
Gardiner, C. W.& Zoller, P. Quantum Noise (Springer, 2004), third edn.
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Xuereb, A. (2012). Applications of Transfer Matrices. In: Optical Cooling Using the Dipole Force. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29715-1_5
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