Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
We 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...
| Authors: | , , , |
|---|---|
| Format: | article |
| Publication Date: | 2023 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/386957 |
| Online Access: | https://hdl.handle.net/2117/386957 https://dx.doi.org/10.1088/1367-2630/acc6e6 |
| Access Level: | Open access |
| Keyword: | Bose-Einstein gas Monte Carlo method Bose-Einstein condensation One-dimensional Bose gases Temperature Correlations Pair correlation function Static structure factor One-body density matrix Path Integral Monte Carlo Montecarlo, Mètode de Condensació de Bose-Einstein Àrees temàtiques de la UPC::Física::Termodinàmica |
| Summary: | We 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. |
|---|