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Our superconducting circuit consists of three parallel Josephson junctions (characterized by their Josephson currents ia , ib , and ic , respectively) that define a double-loop heat interferometer. The temperature in S1 is risen up to , which yields a steady-state heat current Jtot flowing from S1 to S2. Moreover, the voltage drop across the device is set to zero. The main loop is pierced by a magnetic flux , whereas a control flux is applied through the second loop enabling enhanced performance.
Top panels: phase-dependent component of the heat current Jint as a function of the magnetic flux in the main ring plotted for different values of the control flux for a double-loop heat interferometer with and , i.e., . The inset shows the case for . Bottom panels: transfer function vs. plotted for the same values of as in the top panels. As it can be seen in panels (a) and (c), the amplitude of the oscillation remains constant for decreasing for higher values of [see panels (b) and (d)].
Density plots showing Jint as a function of the magnetic flux on the main and the control loop, and , respectively. Three representative cases (denoted #1, #2, and #3) have been considered and are schematized on the top part of each plot. The maximum and minimum values of Jint change perceptibly when reducing the symmetry of the double-loop.
(a) Phase diagram for the double-loop heat interferometer on the space. Within the white region, the amplitude of the oscillation increases linearly with r 1. On the diagonally stripped region, the maximum value of is obtained independently of r 1 and r 2. Finally, on the grid region, decreases with r 2. Additionally, the two dashed lines define a triangle within which the interferometer can be fully balanced. (b) Jint vs. for three selected points (#1, #3, and #4) contained within the aforementioned triangle and sketched on the right. In the three cases, the dashed line corresponds to whereas the solid line corresponds to the value of that provides the fully suppression of Jint .
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