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P4.6

Competition of Triangular and Square Vortex-Lattice in

Two-Component Bose-Einstein Condensates

Toshiaki Kanai, Makoto Tsubota

Department of Physics, Osaka City University, Japan

Quantum vortex-lattice formulation in two-component BECs has been studied

theoretically[1] and experimentally[2]. In two-component BECs, there are some

behaviour which do not appear in one-component BEC. Change of structure

of quantum vortex-lattice is one of the most clear behaviours. The structure

of vortex-lattice is triangle, square, vortex-sheet et al[1], and depend on some

parameters. We study numerically the competition of triangular and square

vortex-lattice around the boundary of triangular lattice phase and square lattice

phase. Around the boundary , because of the competition, the relaxation time

will get longer. So, we pay attention to the relaxation time.

[1]K.Kasamatsu, M.Tsubota, and M.Ueda, Phys. Rev. Lett. 91, 150406 (2003)

[2]V.Schweikhard et al, Phys. Rev. Lett. 93, 210403 (2004)

P4.7

A novel multi-frequency lock-in technique to probe superfluid

helium-4 using quartz tuning forks.

Bradley D.I., Haley R.P., Kafanov S., Noble M.T., Pickett G.R., Tsepelin V.,

Vonka J., Wilcox T.

Lancaster University, Faculty of Science and Technology, Department of Physics,

Lancaster, LA1 4YB, UK

We report on a novel new technique to measure the resonance of linear oscillators

by exciting and measuring the response over many frequencies simultaneously.

By using a multi-frequency lock-in analyser we can measure the resonance curve

much quicker than by using a conventional single frequency lock-in amplifier

technique. We use multi-frequency lock-in and a standard Standford Research

Systems SR830 Lockin Amplifier to measure the frequency response of two 25

µ

m

wide quartz tuning forks and show that both instruments yield identical results.

We further confirm this by measuring the resonance frequency and width of the

forks over temperatures between 4.2K and 1.5K.

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