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Treball de fi de grau

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cc-by-nc-nd (c) Sabater, 2023
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/201815

Monte Carlo study of few-bosons in a one-dimensional trap

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We consider a one-dimensional system of few-bosons in a harmonic trap that interact via a contact potential. In addition, we explore a system of non-interacting bosons in the presence of an impurity. The Variational Monte Carlo method is utilised to calculate an upper bound of the ground state energy. Furthermore, we numerically obtain the one-body density matrix, which allows us to determine the occupation numbers and the impurity density profile. The occupation numbers reveal that, in the absence of any impurity, the condensation diminishes as the repulsive interaction strength among bosons increases. Finally, in the presence of an impurity, we show the existence of two distinct regimes: a miscible regime and a non-miscible one.

Descripció

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutors: Bruno Juliá-Díıaz, Grigori Astrakharchik

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Citació

SABATER GARCÍA, Francesc. Monte Carlo study of few-bosons in a one-dimensional trap. [consulta: 24 de gener de 2026]. [Disponible a: https://hdl.handle.net/2445/201815]

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