Current–phase relations of a ring-trapped Bose–Einstein condensate with a weak link<xref rid="cpb_28_1_010303fn1" ref-type="fn">*</xref> <fn id="cpb_28_1_010303fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant No. 11874247), the National Key Research and Development Program of China (Grant Nos. 2017YFA0304500 and 2017YFA0304203), PCSIRT, China (Grant No. IRT-17R70), and the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices, China (Grant No. KF201703).</p> </fn>

Current–phase relations of a ring-trapped Bose–Einstein condensate with a weak link* *

Project supported by the National Natural Science Foundation of China (Grant No. 11874247), the National Key Research and Development Program of China (Grant Nos. 2017YFA0304500 and 2017YFA0304203), PCSIRT, China (Grant No. IRT-17R70), and the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices, China (Grant No. KF201703).

Zhang Xiu-Rong, Li Wei-Dong^†

The relation between μ and v with V = 0.7 μ₀, η = 100, d = 0.05 ≈ 0.7ξ₀, and various winding numbers ℓ. The values of μ for PW solutions are plotted in solid lines with symbols, while those for SL solutions are plotted in dashed lines. The dash-dotted arrow lines indicate the discontinuous phase transition between two states with ℓ = 0 and ℓ = ±1.