Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

Physics – Condensed Matter – Quantum Gases

Scientific paper

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17 pages, 8 figures

Scientific paper

10.1103/PhysRevA.84.033604

The interplay of quantum statistics, interactions and temperature is studied within the framework of the bosonic two-component theory with repulsive delta-function interaction in one dimension. We numerically solve the thermodynamic Bethe Ansatz and obtain the equation of state as a function of temperature and of the interaction strength, the relative chemical potential and either the total chemical potential or a fixed number of particles, allowing to quantify the full crossover behaviour of the system between its low-temperature ferromagnetic and high-temperature unpolarized regime, and from the low coupling decoherent regime to the fermionization regime at high interaction.

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