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The classical magnetic energy in the coupler is Em = L4 I42 /2+ L5 I52 /2-M I4 I5, where I4 and I5 are the currents through the inductors L4 and L5 (flowing in the "down" direction in Fig. ). When expressed in terms of the fluxes Φ4 = L4 I4 -M I5 and Φ5 = L5 I5 -M I4, it becomes Em = Φ42 /2K L4 + Φ52 /2K L5 + (M/K L4 L5 ) Φ4 Φ5, where K=1- M2 / L4 L5. Notice the sign change in the interaction term, which is important in Eqs. .
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The classical magnetic energy in the coupler is E m = L 4 I 4 2 / 2 + L 5 I 5 2 / 2 - M I 4 I 5, where I 4 and I 5 are the currents through the inductors L 4 and L 5 (flowing in the "down" direction in Fig.). When expressed in terms of the fluxes Φ 4 = L 4 I 4 - M I 5 and Φ 5 = L 5 I 5 - M I 4, it becomes E m = Φ 4 2 / 2 K L 4 + Φ 5 2 / 2 K L 5 + (M / K L 4 L 5) Φ 4 Φ 5, where K = 1 - M 2 / L 4 L 5. Notice the sign change in the interaction term, which is important in Eqs..
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46
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4043151541
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10.1103/PhysRevA.69.062320
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A. Blais, R. S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 69, 062320 (2004). 10.1103/PhysRevA.69.062320
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(2004)
Phys. Rev. A
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, pp. 062320
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Blais, A.1
Huang, R.S.2
Wallraff, A.3
Girvin, S.M.4
Schoelkopf, R.J.5
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47
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0037368232
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10.1103/PhysRevB.67.094510
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J. M. Martinis, S. Nam, J. Aumentado, K. M. Lang, and C. Urbina, Phys. Rev. B 67, 094510 (2003). 10.1103/PhysRevB.67.094510
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(2003)
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Martinis, J.M.1
Nam, S.2
Aumentado, J.3
Lang, K.M.4
Urbina, C.5
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In the experiment (Ref.) the regime of the OFF coupling was actually realized at the bias current IB close to zero. This happened because of designed M/ L3 ≈ 1 at IB =0. We think that a better mode is when the coupling is OFF at | IB | / I3,cr 1 and consider M/ L3 2 at IB =0.
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In the experiment (Ref.) the regime of the OFF coupling was actually realized at the bias current I B close to zero. This happened because of designed M / L 3 ≈ 1 at I B = 0. We think that a better mode is when the coupling is OFF at | I B | / I 3, cr 1 and consider M / L 3 2 at I B = 0.
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