Dynamic and steady control of quantum coherence in photonic crystals via the Zeeman effect

The dynamic evolution of a multi-level atom in the three-dimensional photonic crystal under an applied magnetic field is investigated. By combining the Zeeman effect with the photonic band gap effect, the dynamic quantum superposition states and steady quantum coherent trapping states of the atom can be flexibly controlled. This paves the way for coherent manipulation of quantum states in the solid-state system, which has important applications in quantum information processing.

[1]  B. Gu,et al.  Decay kinetic properties of atoms in photonic crystals with absolute gaps. , 2003, Physical review letters.

[2]  Ronald Hanson,et al.  Coherent manipulation of single spins in semiconductors , 2008, Nature.

[3]  Shi-Yao Zhu,et al.  Quantum interference enhancement with left-handed materials. , 2008, Physical review letters.

[4]  B. Gu,et al.  Decay distribution of spontaneous emission from an assembly of atoms in photonic crystals with pseudogaps. , 2002, Physical review letters.

[5]  Ben-Yuan Gu,et al.  Switching control of spontaneous emission by polarized atoms in two-dimensional photonic crystals. , 2006, Physical review letters.

[6]  G. Agarwal,et al.  Coherent control of spontaneous emission near a photonic band edge: A qubit for quantum computation , 1999 .

[7]  D. Gammon,et al.  Coherent population trapping of an electron spin in a single negatively charged quantum dot , 2009, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[8]  Gammon,et al.  Coherent optical control of the quantum state of a single quantum Dot , 1998, Science.

[9]  Quang,et al.  Localization of Superradiance near a Photonic Band Gap. , 1995, Physical review letters.

[10]  B. Gu,et al.  Numerical method of Brillouin zone integrals of vectorial fields in photonic crystals , 2003 .

[11]  Coherent population trapping: Quantum optics with dots , 2008 .

[12]  G. Guo,et al.  Efficient scheme for two-atom entanglement and quantum information processing in cavity QED , 2000, Physical review letters.

[13]  S. John,et al.  Coherent control of spontaneous emission near a photonic band edge: A qubit for quantum computation , 1999 .

[14]  S. John,et al.  Quantum electrodynamics near a photonic band gap: Photon bound states and dressed atoms. , 1990, Physical review letters.

[15]  N. Vitanov,et al.  Plasmon-induced enhancement of quantum interference near metallic nanostructures. , 2009, Physical review letters.

[16]  B. Gu,et al.  Local density of states in three-dimensional photonic crystals: Calculation and enhancement effects , 2003 .

[17]  John,et al.  Quantum optics of localized light in a photonic band gap. , 1991, Physical review. B, Condensed matter.

[18]  John,et al.  Strong localization of photons in certain disordered dielectric superlattices. , 1987, Physical review letters.

[19]  G. Rupper,et al.  Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity , 2004, Nature.

[20]  Shi-Yao Zhu,et al.  QUANTUM INTERFERENCE EFFECTS IN SPONTANEOUS EMISSION FROM AN ATOM EMBEDDED IN A PHOTONIC BAND GAP STRUCTURE , 1997 .

[21]  Shi-Yao Zhu,et al.  Spontaneous-emission enhancement and population oscillation in photonic crystals via quantum interference , 2000 .

[22]  Fluorescence into flat and structured radiation continua: An atomic density matrix without a master equation , 1997, quant-ph/9708030.

[23]  A. Zenesini,et al.  Coherent control of dressed matter waves. , 2008, Physical review letters.

[24]  H. Monkhorst,et al.  SPECIAL POINTS FOR BRILLOUIN-ZONE INTEGRATIONS , 1976 .

[25]  A S Sørensen,et al.  Quantum optics with surface plasmons. , 2005, Physical review letters.

[26]  A. Zrenner,et al.  Coherent properties of a two-level system based on a quantum-dot photodiode , 2002, Nature.

[27]  Quang,et al.  Quantum optical spin-glass state of impurity two-level atoms in a photonic band gap. , 1996, Physical review letters.

[28]  E. Yablonovitch,et al.  Inhibited spontaneous emission in solid-state physics and electronics. , 1987, Physical review letters.

[29]  Sergey V. Gaponenko,et al.  Spontaneous Emission of Organic Molecules Embedded in a Photonic Crystal , 1998 .

[30]  S. Gulde,et al.  Quantum nature of a strongly coupled single quantum dot–cavity system , 2007, Nature.