Commensurate mixtures of ultra-cold atoms in one dimension

Abstract

We study binary mixtures of ultra-cold atoms, confined to one dimension in an optical lattice, with commensurate densities. Within a Luttinger liquid description, which treats various mixtures on equal footing, we derive a system of renormalization group equations at second order, from which we determine the rich phase diagrams of these mixtures. These phases include charge/spin density wave order, singlet and triplet pairing, polaron pairing, and a supersolid phase. Various methods to detect our results experimentally are discussed.

7 pages, 4 figures, v4: extended version

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Bosonizing one-dimensional cold atomic gases
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• An exactly solvable model of the BCS-BEC crossover
• Spin-1/2 fermions on spin-dependent optical lattices
• Phase diagrams of one-dimensional Bose-Fermi mixtures of ultra-cold atoms

Cited by in corpus (42)

• The physics of dipolar bosonic quantum gases
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Counterflow and paired superfluidity in one-dimensional Bose mixtures in optical lattices
• Phase separation in a two species Bose mixture
• Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
• Mixtures of strongly interacting bosons in optical lattices
• Creating a supersolid in one-dimensional Bose mixtures
• Supersolid and solitonic phases in one-dimensional Extended Bose-Hubbard model
• Multi-particle composites in density-imbalanced quantum fluids
• Pairing of 1D Bose-Fermi mixtures with unequal masses
• Demixing Effects in Mixtures of Two Bosonic Species
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Boson-Fermion pairing in Bose-Fermi mixtures on 1D optical lattices
• Supersolids in one dimensional Bose Fermi mixtures
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Continuous matrix product states for coupled fields: Application to Luttinger Liquids and quantum simulators
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Spontaneous population imbalance in two-component Bose and Fermi gases
• Phase separation and pairing regimes in the one-dimensional asymmetric Hubbard model
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Stability and pairing in quasi-one-dimensional Bose-Fermi mixtures
• Signatures of non-trivial pairing in the quantum walk of two-component bosons
• Quantum phases of constrained dipolar bosons in coupled one-dimensional optical lattices
• Pairing, crystallization and string correlations of mass-imbalanced atomic mixtures in one-dimensional optical lattices
• Phase separated charge density wave phase in two species extended Bose-Hubbard model
• Unconventional quantum phases of lattice bosonic mixtures
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• One-dimensional repulsive Hubbard model with mass imbalance: Orders and filling anomaly
• Two component quantum walk in one-dimensional lattice with hopping imbalance
• Counterflow superfluid of polaron pairs in Bose-Fermi mixtures in optical lattices
• Response functions in multicomponent Luttinger liquids
• Mixtures of ultra-cold atoms in 1D disordered potentials
• Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
• Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices
• Quasi-molecular bosonic complexes -- a pathway to atomic analog of SQUID with controlled sensitivity
• Magnetic properties of commensurate Bose-Bose mixtures in one-dimensional optical lattices
• Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
• Out-of-Equilibrium Dynamics in the Two-Component Bose-Hubbard Model
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
• Quantum phases of hard-core dipolar bosons in coupled 1D optical lattices