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- Grigori E. Astrakharchik, Jordi Boronat, Joaquim Casulleras, And S Giorgini
- Physical review letters
- 2004

We calculate the equation of state of a two-component Fermi gas with attractive short-range interspecies interactions using the fixed-node diffusion Monte Carlo method. The interaction strength isâ€¦ (More)

- Grigori E. Astrakharchik, Jordi Boronat, Joaquim Casulleras, Stefano Giorgini
- Physical review letters
- 2005

By using the diffusion Monte Carlo method we calculate the one- and two-body density matrix of an interacting Fermi gas at T = 0 in the BCS to Bose-Einstein condensate (BEC) crossover. Results forâ€¦ (More)

- Ferran Mazzanti, Grigori E. Astrakharchik, Jordi Boronat, Joaquim Casulleras
- Physical review letters
- 2008

A quantum Monte Carlo simulation of a system of bosonic hard rods in one dimension is presented and discussed. The calculation is exact since the analytical form of the wave function is known and isâ€¦ (More)

- Dmitry S Petrov, Grigori E. Astrakharchik, D J Papoular, Christophe Salomon, Georgy V Shlyapnikov
- Physical review letters
- 2007

We show that the system of weakly bound molecules of heavy and light fermionic atoms is characterized by a long-range intermolecular repulsion and can undergo a gas-crystal quantum transition if theâ€¦ (More)

We present the complete phase diagram for one-dimensional binary mixtures of bosonic ultracold atomic gases in a harmonic trap. We obtain exact results with direct numerical diagonalization for aâ€¦ (More)

- Grigori E. Astrakharchik, Roland Combescot, Xavier Leyronas, Sandro Stringari
- Physical review letters
- 2005

We show that the study of the collective oscillations in a harmonic trap provides a very sensitive test of the equation of state of a Fermi gas near a Feshbach resonance. Using a scaling approach,â€¦ (More)

The ground-state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground-state wave function which permits solution of the Fermi signâ€¦ (More)

- Grigori E. Astrakharchik, DÃ¶rte Blume, Stefano Giorgini, Brian Ellison Granger
- Physical review letters
- 2004

Bose gases confined in highly elongated harmonic traps are investigated over a wide range of interaction strengths using quantum Monte Carlo techniques. We find that the properties of a Bose gasâ€¦ (More)

The zero-temperature equation of state is analyzed in low-dimensional bosonic systems. We propose to use the concept of energy-dependent s-wave scattering length for obtaining estimations ofâ€¦ (More)