Beyond-Luttinger-liquid thermodynamics of a one-dimensional Bose gas with repulsive contact interactions
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10.1103/PhysRevResearch.1.033083
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/174451
Tipus de documentArticle
Data publicació2019-11-07
EditorAmerican Physical Society
Condicions d'accésAccés obert
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Reconeixement 3.0 Espanya
ProjecteUltraLiquid - Dynamics and Thermodynamics of Ultradilute Liquids (EC-H2020-797684)
PROBIST - COFUND BIST POSTDOCTORAL FELLOWSHIP PROGRAMME (EC-H2020-754510)
AGR-INSTITUTO DE CIENCIAS FOTONICAS (MINECO-SEV-2015-0522)
MATERIA CUANTICA ULTRAFRIA FUERTE Y DEBILMENTE INTERACTUANTE (AEI-FIS2017-84114-C2-1-P)
PROBIST - COFUND BIST POSTDOCTORAL FELLOWSHIP PROGRAMME (EC-H2020-754510)
AGR-INSTITUTO DE CIENCIAS FOTONICAS (MINECO-SEV-2015-0522)
MATERIA CUANTICA ULTRAFRIA FUERTE Y DEBILMENTE INTERACTUANTE (AEI-FIS2017-84114-C2-1-P)
Abstract
We present a thorough study of the thermodynamics of a one-dimensional repulsive Bose gas, focusing in particular on corrections beyond the Luttinger-liquid description. We compute the chemical potential, pressure, and contact as a function of temperature and gas parameter with an exact thermal Bethe ansatz. In addition, we provide interpretations of the main features in the analytically tractable regimes, based on a variety of approaches (Bogoliubov, hard core, Sommerfeld, and virial). The beyond-Luttinger-liquid thermodynamic effects are found to be nonmonotonic as a function of gas parameter. Such behavior is explained in terms of nonlinear dispersion and “negative excluded volume” effects, for weak and strong repulsion, respectively, responsible for the opposite sign corrections in the thermal next-to-leading term of the thermodynamic quantities at low temperatures. Our predictions can be applied to other systems including super Tonks-Girardeau gases, dipolar and Rydberg atoms, helium, quantum liquid droplets in bosonic mixtures, and impurities in a quantum bath.
CitacióDe Rosi, G. [et al.]. Beyond-Luttinger-liquid thermodynamics of a one-dimensional Bose gas with repulsive contact interactions. "Physical review research", 7 Novembre 2019, vol. 1, p. 033083-1-033083-9.
ISSN2643-1564
Altres identificadorshttps://arxiv.org/abs/1905.07391
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