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Physical Review B

Controlled light-pulse propagation in driven color centers in diamond

Jin‐Hui Wu, Giuseppe Carlo La Rocca, M. Artoni

Published Mar 26, 2008• 44 citations
Publisher

Abstract

Inhomogeneously broadened optical transitions of nitrogen-vacancy centers in diamond may be employed to attain fully developed photonic band-gap structures with negligible absorption via coherent optical nonlinearities. For realistic material parameters, the resulting band gap may be tuned via the coupling field to acquire reflectivities very close to unity and sufficiently large bandwidths. We anticipate that this can be used to optically control with remarkable experimental simplicity the reflected and transmitted parts of an incident light pulse.

DOI
10.1103/physrevb.77.113106

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Physical Review B•May 30, 2006•28 citations
Inhomogeneously broadened optical transitions of nitrogen-vacancy centers in diamond may be employed to attain fully developed photonic band-gap structures with negligible absorption via coherent optical nonlinearities. For realistic material parameters, the resulting band gap may be tuned via the coupling field to acquire reflectivities very close to unity and sufficiently large bandwidths. We anticipate that this can be used to optically control with remarkable experimental simplicity the reflected and transmitted parts of an incident light pulse.
Controlling quantum coherence in light‐matter interaction is a key step for advanced ultra‐fast and quantum information technology. We theoretically consider a scheme to realize all‐optically induced photonic band gaps based on a standing wave electromagnetically induced transparency configuration which can be implemented with nitrogen‐vacancy color centers in diamond. For realistic material parameters the resulting band‐gap may be tuned via the coupling field to acquire reflectivities very close to unity and sufficiently large bandwidths.
An ever increasing effort has been devoted over the years to develop techniques for manipulating light in optical devices. Electromagnetic induced transparency (EIT) is one of these techniques that has recently led to an astonishing control on light wave propagation in ultracold clouds of alkali atoms. EIT may be employed to realize a photonic band gaps that are controllable through the parameters of an external standing light wave pattern [1]. Such gaseous approaches are not however suitable for on-chip implementation. Early work on control over photonic band-gap comprises, e.g., structures built from the periodic complex susceptibility of quantum well excitons whose optical properties can be dynamically modified through the Stark effect. Other interesting proposals to control photonic band-gaps in semiconductor heterostructures have been brought forward and where control over the band-gap is achieved through EIT in conduction intersubband transitions of a n-doped quantum well. EIT effects have also been observed in a class of solid materials exhibiting defect states, following either familiar or less familiar schemes, and among which presodimium doped Y2SiO5 and diamond containing nitrogen vacancies (N-V) color centers are perhaps the most ubiquitous ones. Color centers in diamond, in particular, have attracted over the past few years a renewed interest for their potential as single-photon sources and are attractive qubit candidates as they behaves a bit like an atom trapped in the diamond lattice. These centers can have extremely long-lived spin coherence because the diamond lattice is composed primarily of 12C, which has zero nuclear spin. In addition, N-V color centers also have interesting optical properties as they exhibit a configuration with two ground state levels connected to a common excited state by optical transitions of moderate strength leading to a lambda-type level configuration required for the observation of EIT [2,3]. This has been exploited to devise a novel photonic band-gap mechanism [4]. We here study the propagation of a very week optical pulse in the band-gap region of N-V diamond crystals. Our calculations show that adopting realistic parameters, as taken from recent experiments on coherent population trapping in N-V color centers, nearly complete reflectivities can be attained in a mm long diamond sample. This occurs when most probe frequency components lie inside the band-gap, yielding instead controllable loss and distortion as the incident probe pulse falls outside the gap. The relevant photonic band-gap may be all optically controlled while its well developed structure is seen to arise from the reduced values of residual absorption in the EIT region. [1] M. Artoni et al., Phys. Rev. Lett. 96, 073905 (2006). [2] C. Wei et al., Phys. Rev. A 60, 2540 (1999). [3] P. Hemmer, et al.,Opt. Lett. 26, 361 (2001). [4] Q.-Y. He, et al., Phys. Rev. B 73, 195124 (2006).
We illustrate a mechanism based on coherent optical nonlinearities to realize optically tunable photonic crystals built from media supporting electromagnetically induced transparency. These exhibit specific periodic patterns where a light probe can experience a fully developed photonic band-gap with negligible absorption. An analytical method based on a two-mode approximation is developed to study the optical response of such a periodically modulated medium driven into a regime of standing-wave electromagnetically induced transparency. A comparison with a transfer matrix approach and with techniques based on the coupled Maxwell–Liouville equations shows that our method is very accurate to describe the optical properties of such photonic metamaterials in the frequency region of interest. Nearly perfect reflectivities may be attained for ultracold 87Rb atoms samples which are seen to reflect with little loss and deformation light pulses whose frequency components are contained within the gap. When the same mechanism is implemented for inhomogeneously broadened optical transitions of nitrogen-vacancy centers in diamond, which is more amenable to device applications, fully developed photonic band-gap structures with negligible absorption, reflectivities very close to unity and sufficiently large bandwidths may also be attained. We further examine more flexible schemes based on four level systems under double driving conditions showing more accurate and efficient coherent optical control of the photonic band-gap. The remarkable experimental simplicity of the schemes that we presented is set to ease quantum nonlinear optics applications.
Abstract Inhomogeneously broadened optical transitions in nitrogen‐vacancy color centers in diamond and Pr3+ doped yttrium orthosilicate may be employed to attain all‐optically controlled Bragg structures with photonic band‐gaps of high reflectivities and large bandwidths. Such a control mechanism is valuable for improving performance and scalability of solid quantum memory devices. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 2722–2726, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24723
Inhomogeneously broadened doped solids supporting electromagnetically induced transparency are viable materials where optically tunable photonic band gaps may be observed and results are shown for Pr:YSO and nitrogen-vacancy color center materials. Such crystals, when coherently driven by a strong pump beam in a suitably designed standing wave configuration, exhibit a tunable stop-band with rather different values of the reflectivity. The different propagating behavior is investigated and characterized for a weak probe across the gap region of the two materials.