Imperial College London

DrRyanBarnett

Faculty of Natural SciencesDepartment of Mathematics

Senior Lecturer
 
 
 
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Contact

 

+44 (0)20 7594 8536r.barnett Website

 
 
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Location

 

6M49Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

35 results found

Galilo B, Lee DKK, Barnett R, Topological edge state manifestation of interacting 2D boson lattices in a harmonic trap

In this work, it is shown that interactions can facilitate the emergence oftopological edge states of bosonic systems in the presence of a harmonicpotential. This effect is demonstrated with the concrete model of a hexagonallattice populated by spin-one bosons under a synthetic gauge field. Infermionic or non-interacting systems, the presence of a harmonic trap canobscure the observation of edge states. For our system with weakly interactingbosons in the Thomas-Fermi regime, we can clearly see a topological bandstructure with a band gap traversed by edge states. We also find that thenumber of edge states crossing the gap is increased in the presence of aharmonic trap, and the edge-modes experience an energy shift while traversingthe first Brillouin zone which is related to the topological properties of thesystem. We find an analytical expression for the edge-state energies and ourcomparison with numerical computation shows excellent agreement.

JOURNAL ARTICLE

Jevtic S, Barnett R, Frustration-free Hamiltonians supporting Majorana zero edge modes

A one-dimensional fermionic system, such as a superconducting wire, may hostMajorana zero-energy edge modes (MZMs) at its edges when it is in thetopological phase. MZMs provide a path to realising fault-tolerant quantumcomputation, and so are the focus of intense experimental and theoreticalstudies. However, given a Hamiltonian, determining whether MZMs exist is adaunting task as it relies on knowing the spectral properties of theHamiltonian in the thermodynamic limit. The Kitaev chain is a paradigmaticnon-interacting model which supports MZMs and the Hamiltonian can be fullydiagonalised. However, for interacting models, the situation is much morecomplex. Here we consider a different classification of models, namely, oneswith frustration-free Hamiltonians. Within this class of models, interactingand non-interacting systems are treated on an equal footing, and we identifyexactly which Hamiltonians can realise MZMs.

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Jevtic S, Barnett R, Frustration-free Hamiltonians supporting Majorana zero edge modes, New Journal of Physics, ISSN: 1367-2630

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Mingarelli L, Keaveny EE, Barnett R, 2016, Simulating infinite vortex lattices in superfluids, Journal of Physics: Condensed Matter, Vol: 28, Pages: 285201-285201, ISSN: 0953-8984

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Payrits M, Barnett R, 2016, Quantum rotor theory of systems of spin-2 bosons, Physical Review A, Vol: 94, ISSN: 2469-9926

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Galilo B, Lee DKK, Barnett R, 2015, Selective Population of Edge States in a 2D Topological Band System, PHYSICAL REVIEW LETTERS, Vol: 115, ISSN: 0031-9007

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Payrits M, Barnett R, 2014, Order-by-disorder degeneracy lifting of interacting bosons on the dice lattice, PHYSICAL REVIEW A, Vol: 90, ISSN: 1050-2947

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Barnett R, 2013, Edge-state instabilities of bosons in a topological band, PHYSICAL REVIEW A, Vol: 88, ISSN: 1050-2947

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Pechkis HK, Wrubel JP, Schwettmann A, Griffin PF, Barnett R, Tiesinga E, Lett PDet al., 2013, Spinor Dynamics in an Antiferromagnetic Spin-1 Thermal Bose Gas, PHYSICAL REVIEW LETTERS, Vol: 111, ISSN: 0031-9007

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Barnett R, Boyd GR, Galitski V, 2012, SU(3) Spin-Orbit Coupling in Systems of Ultracold Atoms, PHYSICAL REVIEW LETTERS, Vol: 109, ISSN: 0031-9007

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Barnett R, Powell S, Grass T, Lewenstein M, Das Sarma Set al., 2012, Order by disorder in spin-orbit-coupled Bose-Einstein condensates, PHYSICAL REVIEW A, Vol: 85, ISSN: 1050-2947

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Hui H-Y, Barnett R, Porto JV, Das Sarma Set al., 2012, Loop-structure stability of a double-well-lattice Bose-Einstein condensate, PHYSICAL REVIEW A, Vol: 86, ISSN: 1050-2947

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Barnett R, Hui H-Y, Lin C-H, Sau JD, Das Sarma Set al., 2011, Quantum rotor theory of spinor condensates in tight traps, PHYSICAL REVIEW A, Vol: 83, ISSN: 1050-2947

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Barnett R, Polkovnikov A, Vengalattore M, 2011, Prethermalization in quenched spinor condensates, PHYSICAL REVIEW A, Vol: 84, ISSN: 2469-9926

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Hui H-Y, Barnett R, Sensarma R, Das Sarma Set al., 2011, Instabilities of bosonic spin currents in optical lattices, PHYSICAL REVIEW A, Vol: 84, ISSN: 2469-9926

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Powell S, Barnett R, Sensarma R, Das Sarma Set al., 2011, Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field, PHYSICAL REVIEW A, Vol: 83, ISSN: 2469-9926

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Barnett R, Chen E, Refael G, 2010, Vortex synchronization in Bose-Einstein condensates: a time-dependent Gross-Pitaevskii equation approach, NEW JOURNAL OF PHYSICS, Vol: 12, ISSN: 1367-2630

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Barnett R, Sau JD, Das Sarma S, 2010, Antiferromagnetic spinor condensates are quantum rotors, PHYSICAL REVIEW A, Vol: 82, ISSN: 1050-2947

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Powell S, Barnett R, Sensarma R, Das Sarma Set al., 2010, Interacting Hofstadter Spectrum of Atoms in an Artificial Gauge Field, PHYSICAL REVIEW LETTERS, Vol: 104, ISSN: 0031-9007

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Zou Y, Barnett R, Refael G, 2010, Particle-hole symmetric localization in optical lattices using time modulated random on-site potentials, PHYSICAL REVIEW B, Vol: 82, ISSN: 1098-0121

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Barnett R, Podolsky D, Refael G, 2009, Geometrical approach to hydrodynamics and low-energy excitations of spinor condensates, PHYSICAL REVIEW B, Vol: 80, ISSN: 2469-9950

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Barnett R, Mukerjee S, Moore JE, 2008, Vortex lattice transitions in cyclic spinor condensates, PHYSICAL REVIEW LETTERS, Vol: 100, ISSN: 0031-9007

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Barnett R, Refael G, Porter MA, Buechler HPet al., 2008, Vortex lattice locking in rotating two-component Bose-Einstein condensates, NEW JOURNAL OF PHYSICS, Vol: 10, ISSN: 1367-2630

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Barnett R, Turner A, Demler E, 2007, Classifying vortices in S=3 Bose-Einstein condensates, PHYSICAL REVIEW A, Vol: 76, ISSN: 2469-9926

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Barnett RL, Maragakis P, Turner A, Fyta M, Kaxiras Eet al., 2007, Multiscale model of electronic behavior and localization in stretched dry DNA, JOURNAL OF MATERIALS SCIENCE, Vol: 42, Pages: 8894-8903, ISSN: 0022-2461

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Turner AM, Barnett R, Demler E, Vishwanath Aet al., 2007, Nematic order by disorder in spin-2 Bose-Einstein condensates, PHYSICAL REVIEW LETTERS, Vol: 98, ISSN: 0031-9007

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Barnett R, Petrov D, Lukin M, Demler Eet al., 2006, Quantum magnetism with multicomponent dipolar molecules in an optical lattice, PHYSICAL REVIEW LETTERS, Vol: 96, ISSN: 0031-9007

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Barnett R, Turner A, Demler E, 2006, Classifying novel phases of spinor atoms, PHYSICAL REVIEW LETTERS, Vol: 97, ISSN: 0031-9007

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Barnett RL, Polkovnikov A, Demler E, Yin WG, Ku Wet al., 2006, Coexistence of gapless excitations and commensurate charge-density wave in the 2H transition metal dichalcogenides, PHYSICAL REVIEW LETTERS, Vol: 96, ISSN: 0031-9007

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Barnett R, Demler E, Kaxiras E, 2005, Electron-phonon interaction in ultrasmall-radius carbon nanotubes, PHYSICAL REVIEW B, Vol: 71, ISSN: 1098-0121

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