Quantum walks of three interacting bosons on one-dimensional optical lattices

[1]  Graham R Fleming,et al.  Exciton analysis in 2D electronic spectroscopy. , 2005, The journal of physical chemistry. B.

[2]  Dieter Meschede,et al.  Molecular binding in interacting quantum walks , 2012 .

[3]  Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint , 2014, 1407.7950.

[4]  R. Blatt,et al.  Realization of a quantum walk with one and two trapped ions. , 2009, Physical review letters.

[5]  S. Will,et al.  Time-resolved observation of coherent multi-body interactions in quantum phase revivals , 2010, Nature.

[6]  Aharonov,et al.  Quantum random walks. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[7]  A Schreiber,et al.  Decoherence and disorder in quantum walks: from ballistic spread to localization. , 2011, Physical review letters.

[8]  T. Mishra,et al.  Two-body repulsive bound pairs in a multibody interacting Bose-Hubbard model , 2020, 2002.11317.

[9]  Renato Portugal,et al.  Quantum walks on a circle with optomechanical systems , 2014, Quantum Inf. Process..

[10]  K. Ng,et al.  Quantum phase transitions in attractive extended Bose-Hubbard Model with three-body constraint , 2011, 1103.3350.

[11]  Brian J. Smith,et al.  Two-photon quantum walk in a multimode fiber , 2015, Science Advances.

[12]  J. Zakrzewski,et al.  Two bosonic quantum walkers in one-dimensional optical lattices , 2017, 1705.11009.

[13]  J Glueckert,et al.  Quantum walk of a trapped ion in phase space. , 2009, Physical review letters.

[14]  M. B. Plenio,et al.  Dephasing-assisted transport: quantum networks and biomolecules , 2008, 0807.4902.

[15]  P. Zoller,et al.  Repulsively bound atom pairs in an optical lattice , 2006, Nature.

[16]  Immanuel Bloch,et al.  Microscopic observation of magnon bound states and their dynamics , 2013, Nature.

[17]  A. Daley,et al.  Effective three-body interactions via photon-assisted tunneling in an optical lattice , 2013, 1311.1783.

[18]  Edward Farhi,et al.  An Example of the Difference Between Quantum and Classical Random Walks , 2002, Quantum Inf. Process..

[19]  Andrew M. Childs,et al.  Spatial search by quantum walk , 2003, quant-ph/0306054.

[20]  A. Daley,et al.  Precision measurements on a tunable Mott insulator of ultracold atoms. , 2011, Physical review letters.

[21]  Carl J. Williams,et al.  Effective three-body interactions of neutral bosons in optical lattices , 2008, 0812.1387.

[22]  Yaron Silberberg,et al.  Quantum walk of two interacting bosons , 2011, 1105.2273.

[23]  Andris Ambainis,et al.  Spatial Search by Quantum Walk is Optimal for Almost all Graphs. , 2015, Physical review letters.

[24]  S. Lloyd,et al.  Environment-assisted quantum walks in photosynthetic energy transfer. , 2008, The Journal of chemical physics.

[25]  Alexander Blumen,et al.  Continuous-Time Quantum Walks: Models for Coherent Transport on Complex Networks , 2011, 1101.2572.

[26]  D. Petrov Elastic multibody interactions on a lattice , 2014, 1405.6624.

[27]  S. Wessel,et al.  Pair superfluidity of three-body constrained bosons in two dimensions. , 2011, Physical review letters.

[28]  D. Petrov Three-body interacting bosons in free space. , 2013, Physical review letters.

[29]  Andrew M. Childs,et al.  Universal computation by quantum walk. , 2008, Physical review letters.

[30]  Julia Kempe,et al.  Quantum random walks: An introductory overview , 2003, quant-ph/0303081.

[31]  Dieter Meschede,et al.  Quantum Walk in Position Space with Single Optically Trapped Atoms , 2009, Science.

[32]  P. Knight,et al.  Quantum walk on the line as an interference phenomenon , 2003, quant-ph/0304201.

[33]  Jacob M. Taylor,et al.  Atomic three-body loss as a dynamical three-body interaction. , 2008, Physical review letters.

[34]  A. Crespi,et al.  Anderson localization of entangled photons in an integrated quantum walk , 2013, Nature Photonics.