Dark State Adiabatic Passage with Branched Networks and High-Spin Systems: Spin Separation and Entanglement

Adiabatic methods are potentially important for quantum information protocols because of their robustness against many sources of technical and fundamental noise. They are particularly useful for quantum transport, and in some cases elementary quantum gates. Here we explore the extension of a particular protocol, dark state adiabatic passage, where a spin state is transported across a branched network of initialised spins, comprising one `input' spin, and multiple leaf spins. We find that maximal entanglement is generated in systems of spin-half particles, or where the system is limited to one excitation.

[1]  S. Longhi.  Coherent transfer by adiabatic passage in two-dimensional lattices , 2014, 1405.7325.

[2]  C. Hill,et al.  Parallel interaction-free measurement using spatial adiabatic passage , 2011, 1105.5480.

[3]  J. Mompart,et al.  Three-level atom optics via the tunneling interaction , 2004 .

[4]  N. Christensen,et al.  Potential multiparticle entanglement measure , 2000, quant-ph/0010052.

[5]  Zach DeVito,et al.  Opt , 2017 .

[6]  Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap : Nonlinear eigenstates , Landau-Zener models , and stimulated Raman adiabatic passage , 2006 .

[7]  Emmanuel Paspalakis,et al.  Adiabatic three-waveguide directional coupler , 2006 .

[8]  U. Gaubatz,et al.  Population switching between vibrational levels in molecular beams , 1988 .

[9]  Xuedong Hu,et al.  Resonant adiabatic passage with three qubits , 2012, 1201.4829.

[10]  Klaas Bergmann,et al.  LASER-DRIVEN POPULATION TRANSFER IN FOUR-LEVEL ATOMS : CONSEQUENCES OF NON-ABELIAN GEOMETRICAL ADIABATIC PHASE FACTORS , 1999 .

[11]  P. Král,et al.  Colloquium: Coherently controlled adiabatic passage , 2007 .

[12]  J. Mompart,et al.  Spatial adiabatic passage processes in sonic crystals with linear defects , 2014, 1402.4847.

[13]  F. Haldane.  Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State , 1983 .

[14]  Snjezana Tomljenovic-Hanic,et al.  Broadband and robust optical waveguide devices using coherent tunnelling adiabatic passage. , 2012, Optics express.

[15]  Andrew D. Greentree,et al.  Dark-state adiabatic passage with spin-one particles , 2014, 1402.4552.

[16]  Planar achromatic multiple beam splitter by adiabatic light transfer. , 2012, Optics letters.

[17]  J. Mompart,et al.  Filtering of matter wave vibrational states via spatial adiabatic passage , 2011, 2011 Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference (CLEO EUROPE/EQEC).

[18]  Andrew V. Martin,et al.  Spatial coherent transport of interacting dilute Bose gases , 2008 .

[19]  N. Vitanov,et al.  Achromatic multiple beam splitting by adiabatic passage in optical waveguides , 2012, 1202.5577.

[20]  E. Kyoseva,et al.  Broadband and ultra-broadband polarization rotators with adiabatic modular design , 2015, 1502.04857.

[21]  A. Ekert,et al.  Robust state stansfer and rotation through a spin chain via dark passage , 2007, quant-ph/0702019.

[22]  Andrew G. Glen,et al.  APPL , 2001 .

[23]  T. Brandes,et al.  Adiabatic passage with superconducting nanocircuits , 2006 .

[24]  Kennedy,et al.  Rigorous results on valence-bond ground states in antiferromagnets. , 1987, Physical review letters.

[25]  T. Brandes,et al.  Applications of Adiabatic Passage in Solid-State Devices , 2005, cond-mat/0506412.

[26]  W. Wootters.  Entanglement of Formation of an Arbitrary State of Two Qubits , 1997, quant-ph/9709029.

[27]  P. Laporta,et al.  Coherent tunneling by adiabatic passage in an optical waveguide system , 2007, 0709.3050.

[28]  Simon J. Devitt,et al.  Information Free Quantum Bus for Generating Stabiliser States , 2007, Quantum Inf. Process..

[29]  A. Tünnermann,et al.  Adiabatic transfer of light via a continuum in optical waveguides. , 2009, Optics letters.

[30]  A. Greentree,et al.  Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system , 2012, 1201.6106.

[31]  Andreas Tünnermann,et al.  Polychromatic beam splitting by fractional stimulated Raman adiabatic passage , 2009 .

[32]  Andrew D. Greentree,et al.  Coherent electronic transfer in quantum dot systems using adiabatic passage , 2004 .

[33]  Z. Kis,et al.  Qubit rotation by stimulated Raman adiabatic passage , 2002, quant-ph/0307208.

[34]  A. Mitchell,et al.  Adiabatic two-photon quantum gate operations using a long-range photonic bus , 2013, 1311.3691.

[35]  A. Greentree,et al.  Interferometry using spatial adiabatic passage in quantum dot networks , 2009, 0909.4608.

[36]  Quantum-information transport to multiple receivers , 2005, quant-ph/0507181.