Projects per year
Abstract
We study ground states and elementary excitations of a system of bosonic atoms and diatomic Feshbach molecules trapped in a one-dimensional optical lattice using exact diagonalization and variational Monte Carlo methods. We primarily study the case of an average filling of one boson per site. In agreement with bosonization theory, we show that the ground state of the system in the thermodynamic limit corresponds to the Pfaffian-like state when the system is tuned towards the superfluid-to-Mott insulator quantum phase transition. Our study clarifies the possibility of the creation of exotic Pfaffian-like states in realistic one-dimensional systems. We also present preliminary evidence that such states support non-Abelian anyonic excitations that have potential application for fault-tolerant topological quantum computation.
Original language | English |
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Article number | 085143 |
Number of pages | 11 |
Journal | Physical Review. B, Condensed matter and materials physics |
Volume | 93 |
Issue number | 8 |
DOIs | |
Publication status | Published - 29 Feb 2016 |
Keywords
- Quantum hall states
- Non-Abelian statistics
- Computation
- Anyons
- Networks
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Dive into the research topics of 'Pfaffian-like ground states for bosonic atoms and molecules in one-dimensional optical lattices'. Together they form a unique fingerprint.Projects
- 2 Finished
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Topological Protection and NonEquilibriu: Topological Protection and NonEquilibrium States in Strongly Correlated Electron Systems
Wahl, P. (PI), Baumberger, F. (CoI), Davis, J. C. (CoI), Green, A. (CoI), Hooley, C. (CoI), Keeling, J. M. J. (CoI) & Mackenzie, A. (CoI)
1/09/11 → 31/08/17
Project: Standard
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New physics at the interface between: New Physics at the Interface between the Classical and Quantum worlds
Green, A. (PI)
1/10/10 → 1/11/11
Project: Fellowship