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Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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Radio frequency charge parity meter.

M D Schroer1, M Jung, K D Petersson

  • 1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.

Physical Review Letters
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

We measured charge parity in a quantum dot using radio frequency signals. Even parity transitions showed magnetic field dependence due to spin states, unlike odd parity transitions.

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Area of Science:

  • Quantum computing
  • Solid-state physics
  • Nanotechnology

Background:

  • Quantum dots are crucial for quantum computing.
  • Understanding charge parity is key to controlling quantum states.

Purpose of the Study:

  • To demonstrate a novel method for measuring total charge parity.
  • To probe the Pauli exclusion principle in a double quantum dot system.

Main Methods:

  • Utilizing a lumped-element resonator coupled to an Indium Arsenide (InAs) nanowire double quantum dot.
  • Detecting reflected radio frequency signals to analyze circuit high-frequency response.

Main Results:

  • Observed distinct magnetic field dependence for even parity transitions, attributed to singlet-triplet transitions.
  • Found odd parity transitions to be largely insensitive to magnetic fields.
  • Validated results with cavity input-output theory.

Conclusions:

  • The method allows accurate measurement of interdot tunnel coupling.
  • Resonator-charge coupling rate was determined to be g(c)/2π~17 MHz.
  • Demonstrated a new technique for probing quantum phenomena in nanostructures.