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Conference on Lasers and Electro-Optics

Turning off the vacuum: inhibited spontaneous emission

Daniel Kleppner

Published Jan 1, 1982• 0 citations
Publisher

Abstract

Spontaneous emission plays a fundamental role in all radiative processes. It limits the lifetime of excited atoms, causing basic uncertainty in their energies. It sets the scale for absorption and stimulated emission, providing a natural scale for the coupling of matter and radiation. It is the ultimate source of noise in nature. Spontaneous emission is such a ubiquitous process that its occurrence is generally taken for granted. In principle, however, spontaneous emission can be altered, either enhanced or inhibited, allowing one to modify primary radiative processes. Experimental techniques are available for realizing these possibilities, and a new area of radiative phenomena is opening for study.

DOI
10.1364/cleo.1982.thr4

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Spontaneous emission plays a fundamental role in all radiative processes. It limits the lifetime of excited atoms, causing basic uncertainty in their energies. It sets the scale for absorption and stimulated emission, providing a natural scale for the coupling of matter and radiation. It is the ultimate source of noise in nature. Spontaneous emission is such a ubiquitous process that its occurrence is generally taken for granted. In principle, however, spontaneous emission can be altered, either enhanced or inhibited, allowing one to modify primary radiative processes. Experimental techniques are available for realizing these possibilities, and a new area of radiative phenomena is opening for study.
Ever since Einstein demonstrated that spontaneous emission must occur if matter and radiation are to achieve thermal equilibrium, physicists have generally believed that excited atoms inevitably radiate. Spontaneous emission is so fundamental that it is usually regarded as an inherent property of matter. This view, however, overlooks the fact that spontaneous emission is not a property of an isolated atom but of an atom-vacuum system. The most distinctive feature of such emission, irreversibility, comes about because an infinity of vacuum states is available to the radiated photon. If these states are modified—for instance, by placing the excited atom between mirrors or in a cavity—spontaneous emission can be greatly inhibited or enhanced.
It is well known that spontaneous emission is not an intrinsic atomic property, but rather results from the coupling of the atom to the vacuum modes of the electromagnetic field. As such, it can be modified by tailoring the electromagnetic environment into which the atom can radiate. This was already realized by Purcell, who noted that the spontaneous emission rate can be enhanced if the atom placed inside a cavity is resonant with one of the cavity is resonant with one of the cavity modes, and by Kleppner, who discussed the opposite case of inhibited spontaneous emission. It has also been recognized that spontaneous emission need not be an irreversible process. Indeed, a system consisting of a single atom coupled to a single mode of the electromagnetic field undergoes a periodic exchange of excitation between the atom and the field. This periodic exchange remains dominant as long as the strength of the coupling between the atom and a cavity mode is itself dominant. 23 refs., 6 figs.
The authors achieved their initial goal in the study of basic radioactive processes using Rydberg atoms - the observation of inhibited spontaneous emission. An experiment was carried out demonstrating that spontaneous emission can be effectively turned off. The underlying principle is that spontaneous emission results from the radioactive coupling between matter and a continuum of vacuum states. However, the assumptions underlying the conventional calculation of the density of modes in free space are not always valid. In particular, cavities can dramatically effect spontaneous emission. Such effects are difficult to observe in the optical regime because of the problem of making good fundamental mode cavities at short wavelengths. Excellent cavities can be made at microwave wavelengths, but spontaneous emission is enhanced by a factor of n4 where n is the principal quantum number, allowing such effects to be studied.
Introduction Ever since 1916/17 when Einstein argued [45] [46] that spontaneous emission must occur if matter and radiation are to achieve thermal equilibrium, physicists have believed that spontaneous emission is an inherent quantum mechanical property of atoms and that excited atoms inevitably radiate. This view, however, overlooks the fact that spontaneous emission is a consequence of the coupling of quantized energy states of atoms with the quantized radiation field, and is a manifestation of quantum noise or of emission ‘stimulated’ by ‘vacuum fluctuations’. An infinity of vacuum states is available to the photon radiated by an excited atom placed in free space, leading to the effective irreversibility of such emissions. If these vacuum states are modified, as for example by placing an excited atom between closely spaced mirrors or in a small cavity (essentially the Casimir effect), spontaneous emission can be greatly inhibited or enhanced or even made reversible. Recent advances in atomic and optical techniques have made it possible to control and manipulate spontaneous emission. A whole new branch of quantum optics called ‘cavity QED’ has developed since 1987 utilizing these dramatic changes in spontaneous emission rates in cavities to construct new kinds of microscopic masers or micromasers that operate with a single atom and a few photons or with photons emitted in pairs in a two-photon transition.
Introduction The preceding chapters have focused on atomic transitions induced by applied radiation. That is, there is an optical field illuminating the atoms, and their response is calculated. It is implicitly assumed that an excited atom left alone will spontaneously return to the ground state, and conserve energy by emitting light that satisfies E 2 − E 1 = ħ ω 21 in accordance with the Planck and Bohr pictures. But this spontaneous emission process is not addressed quantitatively in these earlier chapters. Spontaneous emission is one of the most pervasive phenomena of atomic physics, and yet its origins remain among the least well-understood. The number of misconceptions is enormous, and they are to be found in textbooks, journal articles, and lecture notes. Because the natural decay of an excited atom adds energy to what is usually an empty mode of the electromagnetic field, the process is fundamentally quantum mechanical. Classical or even semi-classical descriptions cannot be assured to give correct answers. This is not to say that such discussion is to be avoided, but only that caution is needed in interpreting the results. Toward the end of the nineteenth century, many experimental results made it clear that classical mechanics needed to be supplemented by new theories. The first venture into the new physics was Planck's hypothesis that the energy of classical radiating oscillators like those discussed in Chap. 1 would have to be quantized into integer multiples of ħ ω. This notion led to his famous formula for the spectrum of thermal radiation from a non-reflective object (black body), and this formula describes a radiation field in thermodynamic equilibrium with its environment. The result of Planck's hypothesis in the context of thermal equilibrium plays a vital role in the discussion of spontaneous emission. Einstein A - and B -coefficients Soon after Bohr proposed a model of atomic structure consisting of discrete energy levels, connected by radiation whose energy satisfied Δ E = ħω when atoms made transition between them, Einstein published the first serious attempt to connect the absorption and emission processes. Absorption, he reasoned, could occur only in the presence of applied radiation, whereas spontaneous decay occurred without the application of any field.