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Acta Physica Sinica

The use of dynamic cavity environment to achieve controlling of the process of spontaneous emission of an atom

Huang Xian-Shan, Hailian Liu

Published Jan 1, 2011• 1 citation
Publisher

Abstract

In the paper, we theoretically discuss the use of dynamic cavity environment to realize controlling of the evolution of spontaneous emission from an excited two-level atom. It is found that cyclical changes in cavity environment leads to the interaction betwcen the electromagnetic modes, resulting in the redistribution of the electromagnetic modes density; both the frequency of energy exchange and the energy dissipation rate between atom and environment are affected. When the frequency of environment change is relatively accordant with the process of energy exchange between the atom and environment, the decay rate is obviously inhibited and a stable coherence evolution can be obtained. Thus the evolution of coherent states can be modulated by using dynamic environment changes.

DOI
10.7498/aps.60.034205

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In the paper, we theoretically discuss the use of dynamic cavity environment to realize controlling of the evolution of spontaneous emission from an excited two-level atom. It is found that cyclical changes in cavity environment leads to the interaction betwcen the electromagnetic modes, resulting in the redistribution of the electromagnetic modes density; both the frequency of energy exchange and the energy dissipation rate between atom and environment are affected. When the frequency of environment change is relatively accordant with the process of energy exchange between the atom and environment, the decay rate is obviously inhibited and a stable coherence evolution can be obtained. Thus the evolution of coherent states can be modulated by using dynamic environment changes.
We theoretically study the use of a dynamic Lorentzian reservoir environment to realize contro of the evolution of an excited two-level atom. It is found that the change of Lorentzian reservoir leads to the interaction between the electromagnetic modes in the cavity and those outside, resulting in the redistribution of the electromagnetic modes density. When the frequency of reservoir change is consistent with the process of exchange of energy between the atom and environment, a relatively stable coherent evolution can be obtained, and the decay is obviously inhibited.
The evolution of two-level atomic system, in which the initial state is excited state, is investigated by adjusting the structural parameters of the dynamic and static ideal photonic band-gap environment reservoir. In a static state (no modulation), we study the effects of half width, center resonant frequency, and specific gravity on the evolution of energy level population. The results show that when the half width or the specific gravity decreases, in the atomic system there happens decoherence, and the energy dissipation to the outside becomes slower. When the center resonant frequency increases, there exists no resonance between the library central resonant frequency and the atom transition frequency, then the attenuation suppression effect occurs, and the time of atomic attenuation to ground state is longer. An actual quantum system is not isolated, so it is inevitable that it interacts with its ambient environment. Owing to the influence of environment, in the system there appears an irreversible quantum decoherence phenomenon. Therefore, how to effectively suppress the decoherence of quantum system becomes an important problem in quantum information science. Linington and Garraway (2008 Phys. Rev. A 77 033831) pointed out that the evolution process of a two-level atom quantum state can be manipulated by a dynamic dissipative environment. So, we use the dynamic cavity environment to control the evolution of spontaneous emission from an excited two-level atom. The dynamic modulation form for the center resonant frequency of the ideal photonic band-gap environment reservoir includes the rectangular single pulse, rectangular periodic pulse, and slow continuous period. Owing to the periodic modulation, the atoms are affected by different environments. On this basis, the influence of dynamic modulation form on the atomic population evolution is discussed. It is found that no matter what form the dynamic modulation is in, the attenuation inhibition in the evolution of atomic system is evident. These conclusions make the idea of using the environmental change to modulate the coherent evolution of atomic system become true.
We demonstrate how a time-dependent dissipative environment may be used as a tool for controlling the quantum state of a two-level atom. In our model system the frequency and coupling strength associated with microscopic reservoir modes are modulated, while the principal features of the reservoir structure remain fixed in time. Physically, this may be achieved by containing a static atom-cavity system inside an oscillating external bath. We show that it is possible to dynamically decouple the atom from its environment, despite the fact that the two remain resonant at all times. This can lead to Markovian dynamics, even for a strong atom-bath coupling, as the atomic decay becomes inhibited into all but a few channels; the reservoir occupation spectrum consequently acquires a sideband structure, with peaks separated by the frequency of the environmental modulation. The reduction in the rate of spontaneous emission using this approach can be significantly greater than could be achieved with an oscillatory atom-bath detuning using the same parameters.
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 spontaneous emission of radiation from two two-level atoms in a Fabry–Perot cavity is considered. The transition frequency of the atoms is assumed to be modulated. It is shown that the frequency modulation leads to radical change of the spontaneous emission dynamics, including the decoherence properties of the entangled atomic states. Two ingredients are necessary in order to achieve this. Firstly, the modulation should be able to periodically detune the atoms from the resonance with the cavity. Secondly, the dynamics of spontaneous emission is efficiently modified if a resonant condition between the modulation frequency and modulation depth is fulfilled. Thus, frequency modulation can be used to dynamically control the collective effects in spontaneous emission in cavities.