Mixing–Demixing Transition in 1D Boson–Fermion Mixture at Low Fermion Densities

Takeuchi, Yousuke; Mori, H.

doi:10.1143/jpsj.74.3391

Search citation statements

Order By: Relevance

Paper Sections

Select...

A Atomic Density Wave Correlations1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2007

2012

Publication Types

Select...

Article5

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 7 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where we have defined ρ F,0 (x) = (ψ + ) † (x)ψ + (x) + (ψ − ) † (x)ψ − (x). For the bosonic density wave fluctuations, using the Haldane expansion of the density, (34) we find that the density density correlation function of the bosons reads:…”

Section: A Atomic Density Wave Correlationsmentioning

confidence: 99%

See 1 more Smart Citation

Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures

2010

View full text Add to dashboard Cite

show abstract

Section: A Atomic Density Wave Correlationsmentioning

confidence: 99%

“…[29][30][31][32][33], in which a two-component Tomonaga-Luttinger liquid was found. The mixture has also been investigated in numerical calculations [34][35][36][37][38][39][40]. More recent experimental work has considered mixtures of fermionic atoms.…”

Section: Introductionmentioning

confidence: 99%

Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures

2010

View full text Add to dashboard Cite

show abstract

Pairing of one-dimensional Bose-Fermi mixtures with unequal masses

Rizzi

Imambekov

2008

Phys. Rev. A

View full text Add to dashboard Cite

We have considered one dimensional Bose-Fermi mixture with equal densities and unequal masses using numerical DMRG. For the mass ratio of K-Rb mixture and attraction between bosons and fermions, we determined the phase diagram. For weak boson-boson interactions, there is a direct transition between two-component Luttinger liquid and collapsed phases as the boson-fermion attraction is increased. For strong enough boson-boson interactions, we find an intermediate "paired" phase, which is a single-component Luttinger liquid of composite particles. We investigated correlation functions of such a "paired" phase, studied the stability of "paired" phase to density imbalance, and discussed various experimental techniques which can be used to detect it.

show abstract

Quantum Monte Carlo simulation of three-dimensional Bose-Fermi mixtures

Yamamoto¹,

Hatsuda²

2012

Phys. Rev. A

View full text Add to dashboard Cite

Exploratory simulations of Bose-Fermi mixtures on the three-dimensional optical lattice at finite temperature are performed by adopting the lattice quantum chromodynamics technique. We analyze the bosonic superfluid transition and its dependence on the strength of the boson-fermion coupling. The particle densities and the pair occupancies are also studied to understand the effect of the bosonfermion coupling to the microscopic properties of the system. Effect of the induced fermion-fermion interaction by the boson density fluctuation is clearly seen.

show abstract

Mixing–Demixing Transition in 1D Boson–Fermion Mixture at Low Fermion Densities

Cited by 7 publications

References 13 publications

Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures

Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures

Pairing of one-dimensional Bose-Fermi mixtures with unequal masses

Quantum Monte Carlo simulation of three-dimensional Bose-Fermi mixtures

Contact Info

Product

Resources

About