How many principles does it take to change a light bulb…into a laser?

Quantum optics did not, and could not, flourish without the laser. The present paper is not about the principles of laser construction, still less a history of how the laser was invented. Rather, it addresses the question: what are the fundamental features that distinguish laser light from thermal light? The obvious answer, 'laser light is coherent', is, I argue, so vague that it must be put aside at the start, albeit to revisit later. A more specific, quantum theoretic, version, 'laser light is in a coherent state', is simply wrong in this context: both laser light and thermal light can equally well be described by coherent states, with amplitudes that vary stochastically in space. Instead, my answer to the titular question is that four principles are needed: high directionality, monochromaticity, high brightness, and stable intensity. Combining the first three of these principles suffices to show, in a quantitative way—involving, indeed, very large dimensionless quantities (up to )—that a laser must be constructed very differently from a light bulb. This quantitative analysis is quite simple, and is easily relatable to 'coherence', yet is not to be found in any textbooks on quantum optics to my knowledge. The fourth principle is the most subtle and, perhaps surprisingly, is the only one related to coherent states in the quantum optics sense: it implies that the description in terms of coherent states is the only simple description of a laser beam. Interestingly, this leads to the (not, as it turns out, entirely new) prediction that narrowly filtered laser beams are indistinguishable from similarly filtered thermal beams. I hope that other educators find this material useful; it may contain surprises even for researchers who have been in the field longer than I have.

[1]  Wolfgang Elsäßer Comment on "How many principles does it take to change a light bulb ... into a laser?" by Howard M. Wiseman, Physica Scripta 91 (3), 033001 (2016) , 2016 .

[2]  H. Wiseman Light amplification without stimulated emission: Beyond the standard quantum limit to the laser linewidth , 1999 .

[3]  Boersma,et al.  Spectral filtering within the Schawlow-Townes linewidth of a semiconductor laser. , 1992, Physical review letters.

[4]  G. Kallianpur Stochastic differential equations and diffusion processes , 1981 .

[5]  Howard M. Wiseman Defending continuous variable teleportation: why a laser is a clock, not a quantum channel , 2004 .

[6]  Howard Mark Wiseman,et al.  DEFINING THE (ATOM) LASER , 1997 .

[7]  Magda Peligrad,et al.  Central limit theorem for fourier transforms of stationary processes. , 2009, 0910.3451.

[8]  J. Armstrong,et al.  Theory of Interferometric Analysis of Laser Phase Noise , 1966 .

[9]  T. Rauch,et al.  Discovery of photospheric Ca X emission lines in the far-UV spectrum of the hottest known white dwarf (KPD 0005+5106) , 2008, 0811.1659.

[10]  C. Gardiner Handbook of Stochastic Methods , 1983 .

[11]  L. Mandel,et al.  Interference of Independent Photon Beams , 1967 .

[12]  Ian J. Spalding,et al.  Laser physics , 1977, Nature.

[13]  M. Scully,et al.  The Quantum Theory of Light , 1974 .

[14]  W. Louisell Quantum Statistical Properties of Radiation , 1973 .

[15]  Hall,et al.  Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis , 2000, Science.

[16]  G. Nienhuis,et al.  Spectral filtering within the Schawlow-Townes linewidth as a diagnostic tool for studying laser phase noise , 1993 .

[17]  A. Schawlow,et al.  Infrared and optical masers , 1958 .