Generation of NOON states via Raman transitions in a bimodal cavity

We propose a scheme for generation of NOON states via Raman transitions. In the scheme, a double $$\varLambda $$-type three-level atom is trapped in a high-Q bimodal cavity which is initially in vacuum states. After a series of operations and suitable interaction time, we can obtain highly nonclassical entangled states of one atom and N photons. Then it can easily be converted to purely photonic NOON states by application of a single projective measurement on the atom. The successful probability and fidelity of the scheme are finally discussed.

[1]  M. Abgrall,et al.  Absolute Frequency Measurement of the 40Ca+ 4s 2S1/2 -3d2D5/2 Clock Transition , 2008, 0806.1414.

[2]  Ryszard Tanas,et al.  The effect of a non-zero spontaneous decay rate on teleportation , 2002 .

[3]  Ekert,et al.  "Event-ready-detectors" Bell experiment via entanglement swapping. , 1993, Physical review letters.

[4]  G. S. Agarwal,et al.  Quantum logic gates using Stark-shifted Raman transitions in a cavity (5 pages) , 2004, quant-ph/0401099.

[5]  Pieter Kok.  Creating large NOON states with imperfect phase control , 2006 .

[6]  Jian-Wei Pan,et al.  De Broglie wavelength of a non-local four-photon state , 2003, Nature.

[7]  Yun-Feng Xiao,et al.  Universal quantum computation in decoherence-free subspace with neutral atoms. , 2006, Physical review letters.

[8]  Zheng Shi-Biao,et al.  Effective Scheme for Generating Cluster States in Cavity QED , 2007 .

[9]  D. James,et al.  Effective Hamiltonian theory and its applications in quantum information , 2007, 0706.1090.

[10]  C. Hamley,et al.  Cavity QED with optically transported atoms , 2003, quant-ph/0309052.

[11]  Frank K. Wilhelm,et al.  Generation and detection of NOON states in superconducting circuits , 2010, 1006.1336.

[12]  Jonathan P. Dowling,et al.  General linear-optical quantum state generation scheme: Applications to maximally path-entangled states , 2007 .

[13]  Jonathan P. Dowling,et al.  Creation of large-photon-number path entanglement conditioned on photodetection , 2001, quant-ph/0112002.

[14]  Zhi-Rong Zhong.  A simplified scheme for realizing multi-atom NOON state , 2010 .

[15]  Guihua Zeng,et al.  A Cavity-QED-Based Scheme for Generating Multi-photon NOON State , 2012 .

[16]  S. Lloyd,et al.  Advances in quantum metrology , 2011, 1102.2318.

[17]  Hugo Cable,et al.  Efficient generation of large number-path entanglement using only linear optics and feed-forward. , 2007, Physical review letters.

[18]  Y. Silberberg,et al.  High-NOON States by Mixing Quantum and Classical Light , 2010, Science.

[19]  P. Kok,et al.  Linear optics and projective measurements alone suffice to create large-photon-number path entanglement , 2001, quant-ph/0109080.

[20]  M B Plenio,et al.  Generation of mesoscopic entangled states in a cavity coupled to an atomic ensemble. , 2012, Physical review letters.

[21]  Farhan Saif,et al.  Engineering maximally entangled N-photon NOON field states using an atom interferometer based on Bragg regime cavity QED , 2007 .

[22]  S.-B. Zheng.  Tunable phase gate for two atoms with an immunity to decoherence (5 pages) , 2006 .

[23]  Xiu Lin,et al.  Generation of NOON Sates for Two Atomic Samples Trapped in Two Distant Cavities , 2011 .

[24]  Jonathan P Dowling,et al.  Bootstrapping approach for generating maximally path-entangled photon states. , 2007, Physical review letters.

[25]  S. Lloyd,et al.  Quantum-Enhanced Measurements: Beating the Standard Quantum Limit , 2004, Science.

[26]  Abrams,et al.  Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit , 1999, Physical review letters.

[27]  Rameez-ul Islam,et al.  Generation of Bell, NOON and W states via atom interferometry , 2008 .

[28]  Law,et al.  Arbitrary control of a quantum electromagnetic field. , 1996, Physical review letters.

[29]  Jonathan P. Dowling,et al.  A Bootstrapping Approach for Generating Maximally Path-Entangled Photon States , 2007 .

[30]  W. J. Munro,et al.  Proposed entanglement beam splitter using a quantum-dot spin in a double-sided optical microcavity , 2009, 0910.4549.

[31]  Bo Zhao,et al.  Heralded generation of an atomic NOON state. , 2010, Physical review letters.

[32]  I. Chuang,et al.  Quantum Computation and Quantum Information: Introduction to the Tenth Anniversary Edition , 2010 .

[33]  M. Wolf,et al.  Quantum Entanglement: A Modern Perspective , 2003 .

[34]  Du Qian-Hua,et al.  Teleportation of an arbitrary mixture of diagonal states of multiqudit , 2008 .

[35]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[36]  Tadashi Itoh,et al.  Measurement of the photonic de broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion. , 2002, Physical review letters.

[37]  M. B. Plenio,et al.  NOON-state generation in a cavity coupled to an atomic ensemble , 2011 .

[38]  Wineland,et al.  Optimal frequency measurements with maximally correlated states. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[39]  M D'Angelo,et al.  Two-photon diffraction and quantum lithography. , 2001, Physical review letters.

[40]  张天才,et al.  Atomic N00N state generation in distant cavities by virtual excitations , 2011 .

[41]  Hector Moya-Cessa,et al.  NOON states in entangled cavities , 2011 .

[42]  M. W. Mitchell,et al.  Super-resolving phase measurements with a multiphoton entangled state , 2004, Nature.

[43]  Hong,et al.  Measurement of subpicosecond time intervals between two photons by interference. , 1987, Physical review letters.