We describe collective spontaneous emission of $N$ two-level atoms placed within a photonic band-gap material. When the atomic resonance frequency lies at the band edge, superradiant emission remains localized in the vicinity of the atoms. This leads to a steady state with spontaneously broken symmetry in which the atomic system acquires a macroscopic polarization. The superradiant decay rate is proportional to ${N}^{2/3}$ and ${N}^{2}$ for isotropic and anisotropic 3D band gaps, respectively. The corresponding peak intensity of superradiance is proportional to ${N}^{5/3}$ and ${N}^{3}$ , respectively.We describe collective spontaneous emission of $N$ two-level atoms placed within a photonic band-gap material. When the atomic resonance frequency lies at the band edge, superradiant emission remains localized in the vicinity of the atoms. This leads to a steady state with spontaneously broken symmetry in which the atomic system acquires a macroscopic polarization. The superradiant decay rate is proportional to ${N}^{2/3}$ and ${N}^{2}$ for isotropic and anisotropic 3D band gaps, respectively. The corresponding peak intensity of superradiance is proportional to ${N}^{5/3}$ and ${N}^{3}$, respectively.

Physical Review LettersApr 24, 1995287 citations

Coherent control of photonic band gaps through the relative phase using modified superradiance lattice

Muhammad Saeed, Atif Shabbir

We report photonic band gaps based on a modified superradiance lattice having reflectivity close to 100% for both the low and high-frequency ranges. We observe that tuning the relative phase between the coupling fields provides additional control over photonic band gaps. We notice that the relative phase can control three input channels of the probe field simultaneously and efficiently. This feature of relative phase over photonic band gaps provides potential in the field of quantum optics. Further, this scheme is experimentally more viable. Rubidium atoms 87 Rb can obtain low-frequency (infrared) photonic band gaps. On the other hand, rubidium atoms 85 Rb and beryllium ions Be 2+ can form high-frequency ultraviolet and soft X-ray photonic band gaps, achieving reflectivities of 80% and 96%, respectively. This scheme holds promise for constructing highly efficient optical switches and beam splitters.We report photonic band gaps based on a modified superradiance lattice having reflectivity close to 100% for both the low and high-frequency ranges. We observe that tuning the relative phase between the coupling fields provides additional control over photonic band gaps. We notice that the relative phase can control three input channels of the probe field simultaneously and efficiently. This feature of relative phase over photonic band gaps provides potential in the field of quantum optics. Further, this scheme is experimentally more viable. Rubidium atoms 87 Rb can obtain low-frequency (infrared) photonic band gaps. On the other hand, rubidium atoms 85 Rb and beryllium ions Be 2+ can form high-frequency ultraviolet and soft X-ray photonic band gaps, achieving reflectivities of 80% and 96%, respectively. This scheme holds promise for constructing highly efficient optical switches and beam splitters.

Optics ExpressDec 8, 20231 citation

Atom-atom interaction at the edge of a photonic band gap

Søren Bay, P. Lambropoulos, Klaus Mølmer

Optics CommunicationsDec 1, 199627 citations

Light localization and superradiance

Sajeev John, Minesh P. Mehta

This paper reports results for the Dicke model of superradiance with an infinite-range hopping among a collection of two-level impurity atoms embedded in a photonic band gap dielectric. The phase diagram of such a system supports a transition to a superfluid-like state, which is characterized by the spontaneous generation of polarization in the electromagnetic field mode. This paper also examine the effects of disorder on the phase diagram, and the authors discuss briefly some technological applications.This paper reports results for the Dicke model of superradiance with an infinite-range hopping among a collection of two-level impurity atoms embedded in a photonic band gap dielectric. The phase diagram of such a system supports a transition to a superfluid-like state, which is characterized by the spontaneous generation of polarization in the electromagnetic field mode. This paper also examine the effects of disorder on the phase diagram, and the authors discuss briefly some technological applications.

Dec 31, 19930 citations

Atoms in a Photonic Trap Exhibit Superradiance

Anonymous

PhysicsAug 5, 20150 citations

We describe collective spontaneous emission of

N

two-level atoms placed within a photonic band-gap material. When the atomic resonance frequency lies at the band edge, superradiant emission remains localized in the vicinity of the atoms. This leads to a steady state with spontaneously broken symmetry in which the atomic system acquires a macroscopic polarization. The superradiant decay rate is proportional to

{N}^{2/3}

and

{N}^{2}

for isotropic and anisotropic 3D band gaps, respectively. The corresponding peak intensity of superradiance is proportional to

{N}^{5/3}

and

{N}^{3}

, respectively.