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Marcos Rigol

Publications and source records attributed to Marcos Rigol.

2 recordsLinked to original sources

Numerical linked-cluster approach to quantum lattice models.

We present a novel algorithm that allows one to obtain temperature dependent properties of quantum lattice models in the thermodynamic limit from exact diagonalization of small clusters. Our numerical linked-cluster approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. Unlike high temperature expansions, which have a finite radius of convergence in inverse temperature, these calculations are accurate at all temperatures provided the range of correlations is finite. We illustrate the power of our approach studying spin models on kagomé, triangular, and square lattices.

Journal Article↗

Emergence of quasicondensates of hard-core bosons at finite momentum.

An exact treatment of the nonequilibrium dynamics of hard-core bosons on one-dimensional lattices shows that, starting from a pure Fock-state, quasi-long-range correlations develop dynamically, and lead to the formation of quasicondensates at finite momenta. Scaling relations characterizing the quasicondensate and the dynamics of its formation are obtained. The relevance of our findings for atom lasers with full control of the wavelength by means of a lattice is discussed.

Journal Article↗