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Physical Review A

Quantum interference between Zeeman levels near structures made of left-handed materials and matched zero-index metamaterials

Ge Song, Jingping Xu, Yaping Yang

Published May 27, 2014• 8 citations
Publisher

Abstract

Quantum interference between Zeeman levels of atom placed in the structure containing left-handed materials (LHMs) and zero-index metamaterials (ZIMs) is investigated. Because of the existence of the LHM and ZIM, dipole radiation becomes highly anisotropic which is embodied by the high contrast between decay rates of the dipole component parallel to the surface and that normal to the surface. Furthermore, both decay rates are suppressed compared with those in free vacuum. Therefore, we propose the quantum interference between Zeeman levels accompanied by long lifetime. Two structures are designed to achieve such purpose. For the idealized LHM and ZIM without dissipation, a double-layer structure comprised of them is the right candidate. However, when we consider the dissipation of materials, a Fabry-P\'erot cavity made of matched ZIM slabs and LHM slabs is required. Results show that we get a high degree of quantum interference and low decay rates simultaneously.

DOI
10.1103/physreva.89.053830

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Quantum interference between Zeeman levels of atom placed in the structure containing left-handed materials (LHMs) and zero-index metamaterials (ZIMs) is investigated. Because of the existence of the LHM and ZIM, dipole radiation becomes highly anisotropic which is embodied by the high contrast between decay rates of the dipole component parallel to the surface and that normal to the surface. Furthermore, both decay rates are suppressed compared with those in free vacuum. Therefore, we propose the quantum interference between Zeeman levels accompanied by long lifetime. Two structures are designed to achieve such purpose. For the idealized LHM and ZIM without dissipation, a double-layer structure comprised of them is the right candidate. However, when we consider the dissipation of materials, a Fabry-P'erot cavity made of matched ZIM slabs and LHM slabs is required. Results show that we get a high degree of quantum interference and low decay rates simultaneously.
We address quantum interference of the Zeeman atom embedded in two kinds of structures containing left-handed materials (LHM), which are a single LHM layer mounted on a single mirror (SLSM) and Fabry-P\'erot cavity filled with a LHM layer by half (FPCLH). Especially, the influence of the dissipation of LHM on quantum interference has been studied in detail. Though dissipation weakens quantum interference in general, it holds nearly complete quantum interference when the thickness of the cavity is small for FPCLH. Moreover, with equivalence of left- and right- rotation polarized dipoles to two spatial orthogonal dipoles, we found the optimum orientation of two orthogonal dipoles which can realize the maximum quantum interference in a certain anisotropic environment. Our research may have potential applications in the designing of microsize devices.
The spontaneous decay and quantum interference of a V\mathsf{V}V-type Zeeman atom placed near a $\ensuremath{\mu}$-negative metamaterial (MNG) slab are investigated. Based on the fact that MNG slab supports only TE-polarized surface-plasmon polariton (SPP) modes, the decay rate of the dipole component parallel to the interface would be much larger than that normal to the interface, because one can couple while another decouple to TE modes. Consequently, high-level anisotropic environment is created and the two dipoles can interfere with each other strongly by sharing such SPP modes even if they are orthogonal. In our work, we analyze the influence of the parameters of the MNG slab as well as the atomic location on the interference intensity in detail. In addition, the dissipation of the slab is considered, and the quantum interference is still excellent even with large absorption.
We propose a scheme which can generate a highly directional single photon with almost 100% efficiency. Therefore we can get a useful single photon when it is required. An initial excited atom is placed inside a special Fabry-P\'erot cavity whose walls consist of left-handed and zero-index metamaterials. The left-handed slabs work as a closed shell to avoid dissipation of the emitted photon, while the outer zero-index metamaterial slabs act as a special shutter which is transparent only for normal incidence, so that the photon emitted by the atom can only escape out of the cavity unidirectionally. Furthermore, we design the cavity with currently available metamaterials made of two-dimensional dielectric photonic crystals, and simulate the radiative field of an electric dipole to confirm our prediction. Differently from the previous proposal of single-photon sources which demanded complicated structure design and subtle mode analysis, our scheme is simple and robust for atomic position. This work has promising applications for quantum communication and optical quantum computing.
Spontaneous decay of a two-level atom near the left-handed material (LHM) slab is investigated. The contributions of the guided modes and the surface-plasmon polariton (SPP) modes supported by the LHM slab to the spontaneous decay are studied at length. We find that the atomic decay near a LHM slab is much different from that near a dielectric slab or metal slab. The first---the dielectric slab with arbitrary thickness---supports at least two guided modes (one for TE polarized and one for TM polarized), but LHM slab may support none of the guided mode for certain thickness. The second---the atom near the LHM slab---may decay through both TE- and TM-polarized SPP, but the atom near the metal slab can decay only through TM-polarized SPP. The third, when the LHM slab supports only TE-polarized SPP modes, the atom near such slab cannot couple to the SPP mode when its dipole moment is perpendicular to the interface. Even if LHM contains weak loss, above analysis is also valid, and the decay rate directly related to material's losses (defined by the decay through dissipation here) can be distinguished from the total decay rate. Most interesting, we find that the decay through SPP will be larger than the decay through dissipation when the atom is placed at an appropriate position. Our results will give constructive reference to the design and fabrication of the quantum device made of LHM.
The spontaneous emission of a V-type Zeeman atom in a Fabry–Perot cavity containing left-handed materials (LHMs) is investigated. Because of the strong indirect quantum interference induced by the refocusing and phase compensation of LHMs, the population evolution and the emission spectrum are much different from that in isotropic environments at different initial conditions. For the degenerate cases, by preparing different initial states, the population decays much faster or slower than that in free vacuum, while the spontaneous emission spectra are narrowed or broadened, respectively. For large detuning cases, the population exchange between two upper levels could be weakened, and the Fano minimum appears in the emission spectrum. In addition, the influence of the dipole orientation on the spectrum is discussed.
A scheme of left-handed metamaterial (LHM) composed of superconducting quantum interference devices (SQUIDs) and conducting wires is proposed. The permeability of a probe field can be smoothly tuned over a wide range with another electromagnetic (coupling) field due to quantum interference effect. Similar to electromagnetically induced transparency (EIT) of atomic systems, the absorption of the probe field can be strongly suppressed even in the case of negative permeability. There are two passbands of negative refractive index with low loss, which can be tuned with the coupling field.