Optical and quantum density of states in nanostructures Finite-energy conservation

OPTICAL AND QUANTUM DENSITY OF STATES IN NANOSTRUCTURES FINITE-ENERGY CONSERVATION 

ZHUKOVSKY, S. V. GAPONENKO Laboratory of Nanooptics, Institute of Molecular and Atomic Physics, NAS Belarus Nezavisimosti Ave. 70, 220072 Minsk, Belarus gaponen imaph. bas-net. by 

We report the existence of finite energy regions over which the quantum density of states 

Inhomogeneous media with micro- and nanosized structural features are known to strongly alter the character of various physical processes compared to common homogeneous materials. For example, photonic band gap (PBG) structures and metamaterials can be used for subwavelength light control [1]. Similarly, quantum heterostructures such as quantum dots and quantum wells have shown great promise in nano- and optoelectronics, as well as in quantum computing. 

Both quantum and optical DOS, subject to modification owing to inhomogeneities, nevertheless obeys fundamental conservation relations. It appears possible only to redistribute the states spectrally and/or spatially, but not to alter the underlying physics of a vacuum by changing their total number. This in turn gives rise to constraints on DOS-affected phenomena, such as conservation of integrated modified spontaneous emission rate [3], 

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