Chiral phase from three spin interactions in an optical lattice
arXiv:cond-mat/0506247 · doi:10.1103/PhysRevA.72.043608
Abstract
A spin-1/2 chain model that includes three spin interactions can effectively describe the dynamics of two species of bosons trapped in an optical lattice with a triangular-ladder configuration. A perturbative theoretical approach and numerical study of its ground state is performed that reveals a rich variety of phases and criticalities. We identify phases with periodicity one, two or three, as well as critical points that belong in the same universality class as the Ising or the three-state Potts model. We establish a range of parameters, corresponding to a large degeneracy present between phases with period 2 and 3, that nests a gapless incommensurate chiral phase.
8 pages, 9 figures, minor revisions and explanations added
References in corpus (17)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Controlled Collisions for Multiparticle Entanglement of Optically Trapped Atoms
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
- Competing density-wave orders in a one-dimensional hard-boson model
- Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
- Quantum Computing with Neutral Atoms in an Optical Lattice
- Optical Lattices, Ultracold Atoms and Quantum Information Processing
- Effective three-body interactions in triangular optical lattices
- Critical Exponents of the Chiral Potts Model from Conformal Field Theory
- Frustration, interaction strength and ground-state entanglement in complex quantum systems
- Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions
- Spatial Correlation Diagnostics for Atoms in Optical Lattices
- Quantum computation with cold bosonic atoms in an optical lattice
Cited by in corpus (11)
- Quantum simulation of a system with competing two- and three-body interactions
- Fermionic minimal models
- Journeys from Quantum Optics to Quantum Technology
- Speedup of quantum state transfer by three- qubit interactions: Implementation by nuclear magnetic resonance
- Non-Markovian dynamics in the extended cluster spin-1/2 XX chain
- Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics
- Critical behavior of a quantum chain with four-spin interactions in the presence of longitudinal and transverse magnetic fields
- Optimally scrambling chiral spin-chain with effective black hole geometry
- Critical Excitation Spectrum of Quantum Chain With A Local 3-Spin Coupling
- Analog charged black hole formation via percolation: Exploring cosmic censorship and Hoop conjecture
- Shareability of Quantum Correlations in a Many-Body Spin System with Two- and Three-Body Interactions