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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Calculating pH for Titration Solutions: Strong Acid/Strong Base
A titration is carried out for 25.00 mL of 0.100 M HCl (strong acid) with 0.100 M of a strong base NaOH. The pH at different volumes of added base solution can be calculated as follows:
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A strong acid is a compound that dissociates completely in an aqueous solution and produces a concentration of hydronium ions equal to the initial concentration of acid. For example, 0.20 M hydrobromic acid will dissociate completely in water and produces 0.20 M of hydronium ions and 0.20 M of bromide ions.
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Titration of a Strong Acid with a Strong Base01:23

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During the titration of a strong acid with a strong base, pH calculations are primarily based on the concentration of residual hydronium or hydroxide ions. Initially, a strong acid like hydrochloric acid fully dissociates, creating hydronium and chloride ions, resulting in a low pH. The addition of a strong base like sodium hydroxide alters the concentration of hydronium ions by neutralizing them. As more base is added, the pH gradually increases. At the equivalence point, all hydronium ions...
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Fabrication of Surface Acoustic Wave Devices on Lithium Niobate
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Cavity Quantum Acoustic Device in the Multimode Strong Coupling Regime.

Bradley A Moores1, Lucas R Sletten1, Jeremie J Viennot1

  • 1JILA, National Institute of Standards and Technology and the University of Colorado, Boulder, Colorado 80309, USA and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA.

Physical Review Letters
|June 16, 2018
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Summary

We developed an acoustic system mimicking quantum circuits, achieving strong coupling and suppressing unwanted sound emissions. This acoustic analog advances quantum acoustics research and device fabrication.

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Area of Science:

  • Quantum Acoustics
  • Solid-State Quantum Systems
  • Circuit Quantum Electrodynamics (cQED) Analogs

Background:

  • Circuit Quantum Electrodynamics (cQED) systems are crucial for quantum information processing.
  • Achieving strong coupling in multimode systems while managing spontaneous emission is a key challenge.
  • Acoustic systems offer a promising platform for exploring quantum phenomena.

Purpose of the Study:

  • To demonstrate an acoustical analog of a cQED system.
  • To achieve strong multimode coupling in the dispersive regime.
  • To suppress spontaneous emission into unconfined acoustic modes.

Main Methods:

  • Fabrication of a device comprising a flux-tunable transmon coupled to a surface acoustic wave resonator.
  • Characterization of the qubit-resonator coupling strength and cavity properties.
  • Analysis of qubit linewidth dependence on frequency to identify spontaneous emission suppression.

Main Results:

  • Demonstrated strong qubit-cavity coupling (up to 6.5 MHz), exceeding cavity loss rates and qubit linewidth.
  • Achieved operation in both the strong coupling and strong multimode regimes.
  • Observed frequency-dependent qubit linewidth, indicating tunable spontaneous emission of phonons.
  • Identified operating frequencies for suppressed phonon emission.

Conclusions:

  • The demonstrated acoustic system effectively mimics cQED principles.
  • Strong multimode coupling and suppressed spontaneous emission are achievable in this acoustic analog.
  • This work provides a new platform for exploring quantum acoustics and developing novel quantum devices.