Strongly interacting bosons in a one-dimensional optical lattice at incommensurate densities

2011/03/31 by Achilleas Lazarides, Olivier Tieleman, O. Tieleman +2 · 1 citation
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Lattice (music) #Optical lattice #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #Superfluidity #Supersolid #Ultracold atom #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.84.023620

arxiv created 2011/06/08 · openalex publication_date 2011/08/16 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate quantum phase transitions occurring in a system of strongly interacting ultracold bosons in a one-dimensional optical lattice. After discussing the commensurate-incommensurate transition, we focus on the phases appearing at an incommensurate filling. We find a rich phase diagram, with superfluid, supersolid, and solid (kink-lattice) phases. Supersolids generally appear in theoretical studies of systems with long-range interactions; our results break this paradigm and show that they may also emerge in models including only short-range (contact) interactions, provided that quantum fluctuations are properly taken into account.

Citations

• Bosonization and Strongly Correlated Systems
• A model unified field equation
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• Supersolid phases of dipolar bosons in optical lattices with a staggered flux
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
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• Flow Equation Solution for the Weak- to Strong-Coupling Crossover in the Sine-Gordon Model
• Stability of Superfluid and Supersolid Phases of Dipolar Bosons in Optical Lattices
• Path integrals in the theory of condensed helium
• The physics of dipolar bosonic quantum gases
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• Bosonizing one-dimensional cold atomic gases

Cited by

• Competing Supersolid and Haldane Insulator Phases in the Extended One-Dimensional Bosonic Hubbard Model

Related

• Quantum Phases of Ultra Cold Bosons in Incommensurate 1D Optical Lattices
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Superfluid-Insulator Transition in a Moving System of Interacting Bosons