GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s48>GLYPH<s46>GLYPH<s52> GLYPH<s48>GLYPH<s46>GLYPH<s54> GLYPH<s48>GLYPH<s46>GLYPH<s56> GLYPH<s49>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s50> GLYPH<s48>GLYPH<s46>GLYPH<s52> GLYPH<s48>GLYPH<s46>GLYPH<s54> GLYPH<s48>GLYPH<s46>GLYPH<s48> GLYPH<s48>GLYPH<s46>GLYPH<s53> GLYPH<s49>GLYPH<s46>GLYPH<s48> GLYPH<s48> GLYPH<s49> GLYPH<s50> GLYPH<s51> GLYPH<s76>GLYPH<s80> GLYPH<s32> GLYPH<s32> GLYPH<s32> GLYPH<s87> GLYPH<s50> GLYPH<s47> GLYPH<s87> GLYPH<s49> GLYPH<s83>GLYPH<s111>GLYPH<s117>GLYPH<s110>GLYPH<s100>GLYPH<s32>GLYPH<s118>GLYPH<s101>GLYPH<s108>GLYPH<s111>GLYPH<s99>GLYPH<s105>GLYPH<s116>GLYPH<s105>GLYPH<s101>GLYPH<s115>GLYPH<s32>GLYPH<s91>GLYPH<s105>GLYPH<s110>GLYPH<s32>GLYPH<s117>GLYPH<s110>GLYPH<s105>GLYPH<s116>GLYPH<s115>GLYPH<s32>GLYPH<s111>GLYPH<s102>GLYPH<s32> GLYPH<s118> GLYPH<s70> GLYPH<s93> GLYPH<s84> GLYPH<s47> GLYPH<s84> GLYPH<s66>GLYPH<s69>GLYPH<s67> GLYPH<s110> GLYPH<s66> GLYPH<s97> GLYPH<s66> GLYPH<s51> GLYPH<s61> GLYPH<s49> GLYPH<s48> GLYPH<s45>GLYPH<s50> FIG. 7: Speeds of first and second sound in a strongly interacting molecular Bose gas with gas parameter n$_{B}$a 3 B = 10 − $^{2}$. The blue dashed and red dotted lines are respectively the approximate speeds c$_{1}$ = υ$_{¯}$ s and c$_{2}$ = υ/ √ γ given by (25). The inset shows the LP ratio ϵ$_{LP}$ (dashed line) and the weight ratio W$_{2}$/W$_{1}$ (black line), to be compared with the result in figure 3 for a strongly interacting Fermi gas at unitarity. VI. BRAGG SCATTERING IN A TRAPPED ATOMIC GAS 21 For a Bragg pulse of short duration ( τ ≪ 2 π/ω$_{0}$ , where ω$_{0}$ is the trap frequency), the Here, σ is the width of the Bragg beams and q and ω are the wavevector and frequency difference between the two beams. For illustration, we now consider the response of a trapped Fermi gas at unitarity to two- photon Bragg scattering due to first and second sound. We consider an experimental setup similar to that used in [37], where a pair of laser beams are applied to the gas such that the region where they overlap is confined to the centre of the gas. As a first approximation to this configuration, we assume that the overlap region between the two beams is isotropic, with a Gaussian profile: δV ( r , t ) = V √$_{2}$$_{πσ}$ e − r $^{2}$/ 2 σ 2 cos( q · r − ωt ) . (33)