The thesis analyze thermodynamic properties of a system of Fermions with a spin-orbit coupling, whose strength can be tuned continuously in a crossover from BCS theory of superconductivity to a Bose-Einstein condensate (BEC). Below the critical temperature $T_{c}$ both system are characterized by an order parameter. Generally a mean field approximation cannot reproduce the correct behavior of the critical temperature $T_{c}$ over the whole crossover; this happen instead if inclusions of quantum Gaussian fluctuations are considered. So the aim of the thesis is to study Gaussian fluctuations beyond mean field and to find the $T_{c}$ over the whole crossover also in the presence of a spin-orbit coupling.

Temperatura critica nel crossover BCS-BEC con accoppiamento spin-orbitale

Grava, Stefano
2016/2017

Abstract

The thesis analyze thermodynamic properties of a system of Fermions with a spin-orbit coupling, whose strength can be tuned continuously in a crossover from BCS theory of superconductivity to a Bose-Einstein condensate (BEC). Below the critical temperature $T_{c}$ both system are characterized by an order parameter. Generally a mean field approximation cannot reproduce the correct behavior of the critical temperature $T_{c}$ over the whole crossover; this happen instead if inclusions of quantum Gaussian fluctuations are considered. So the aim of the thesis is to study Gaussian fluctuations beyond mean field and to find the $T_{c}$ over the whole crossover also in the presence of a spin-orbit coupling.
2016-04
118
Ultracold Gases
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/25585