De Rosi, GiuliaRota, RiccardoAstrakharchik, Grigori E.Boronat, Jordi2023-05-082023-05-082023-05-082023-04-0110.1088/1367-2630/acc6e6https://infoscience.epfl.ch/handle/20.500.14299/197434WOS:000963292900001We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the one-body density matrix are calculated as a function of the interaction strength and temperature with the exact ab-initio Path Integral Monte Carlo method. We explore all possible gas regimes from weak to strong interactions and from low to high temperatures. We provide a detailed comparison with a number of theories, such as perturbative (Bogoliubov and decoherent classical), effective (Luttinger liquid) and exact (ground-state and thermal Bethe Ansatz) ones. Our Monte Carlo results exhibit an excellent agreement with the tractable limits and provide a fundamental benchmark for future observations which can be achieved in atomic gases, cavity quantum-electrodynamic and superconducting-circuit platforms.Physics, MultidisciplinaryPhysicsone-dimensional bose gasestemperaturecorrelationspair correlation functionstatic structure factorone-body density matrixpath integral monte carloimpenetrable bosonsground-statesystemcoherencethermodynamicsrealizationatomstext::journal::journal article::research article