What is a transmission line resonator ?

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A transmission line resonator (TLR) functions as a cavity in circuit quantum electrodynamics (QED) by utilizing the properties of a transmission line to create resonant modes. The discussion includes a measurement of a 10-nanosecond long section of 50-ohm RG-8, demonstrating impedance and phase behavior across various frequencies. The impedance is shown to be shorted at specific frequencies while acting as an open quarter-wave transformer at others. This behavior illustrates the fundamental principles behind how TLRs operate in circuit QED. Understanding these concepts is crucial for grasping the role of TLRs in quantum circuits.
hiyok
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Hi,
I'm learning something on circuit QED, which has a part called transmission line resonator (TLR). It plays the role of a cavity. However, I don't get how it works that way.
Can anyone give some help ?
Thanks in advance !
 
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Here in thumbnail is a swept-frequency ( 0 to 200 MHz) impedance and phase measurement of a 10-nanosecond long section of 50-ohm RG-8, shorted at the far end. The solid line is the impedance (volts, left scale), and the dotted line is the phase (right scale). The near end of the transmission line is shorted at 50, 100, 150, and 200 MHz. It is open (quarter-wave transformer) at 25, 75, 125, and 175 MHz. This is the basis for a transmission line resonator.

Bob S
 

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Bob, thanks for your help !
 
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