Publication: Interacting bosons in one dimension and the applicability of Luttinger-liquid theory as revealed by path-integral quantum Monte Carlo calculations

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Title	Interacting bosons in one dimension and the applicability of Luttinger-liquid theory as revealed by path-integral quantum Monte Carlo calculations
Authors/Editors*	Adrian Del Maestro and Ian Affleck
Where published*	Physical Review B
How published*	Journal
Year*	2010
Volume	82
Number
Pages	060515
Publisher	American Physical Society
Keywords	Quantum Monte Carlo, Luttinger Liquids
Link	http://link.aps.org/doi/10.1103/PhysRevB.82.060515
Abstract	Harmonically trapped ultracold atoms and 4He in nanopores provide different experimental realizations of bosons in one dimension, motivating the search for a more complete theoretical understanding of their low-energy properties. Worm algorithm path-integral quantum Monte Carlo results for interacting bosons restricted to the one dimensional continuum are compared to the finite temperature and system size predictions of Luttinger-liquid theory. For large system sizes at low temperature, excellent agreement is obtained after including the leading irrelevant interactions in the Hamiltonian which are determined explicitly.