The Study Of Solitons In Holographic Superfluids At Zero Temperature Based On AdS/CFT Duality

Ad S/CFT duality is proposed by Maldacena in 1999 which clarifies duality relation between Anti-de Sitter space and Conformal Field Theory.Ad S/CFT is also called holographic principle.Ad S/CFT is applied in condensed matter more and more widely these years.We can study physics in anti-de sitter space,and then correspond to the physical laws in the condensed matter physics on the boundary according to the holographic dictionary.This thesis takes advantage of Ad S/CFT to study solitons in holographic superfluids at zero temperature.Firstly,we studied homogeneous structure of matter fields at zero temperature superfluid.Also,we calculated critical chemical potential beyond which it occurs to superfluid phase transition.We constructs black solitons beyond critical chemical potential and calculate its QNM.The results show that there are two superfluid types at standard quantization and alternative quantization which are BCS-like superfluid and BEC-like superfluid.Moreover,black solitons are not stable.Secondly,this thesis constructs the gray solitons which move all the time at some speed.Because moving solitons request there is no dissipation in this system,this paper uses the simplest superfluid model at zero temperature to study solitons at standard quantization and alternative quantization.Under standard quantization,there is an interesting phenomenon at gray solitons where a peculiar oscillation of the soliton configurations is observed.It resembles the Friedel oscillation in fermionic superfluids at the BCS limit.Moreover,it realizes the BEC-BCS crossover in this thesis.The results show that standard and alternative quantization correspond to BCS-like superfluid and BEC-like superfluid respectively.