Resolving Phonon Fock States in a Multimode Cavity with a Double-Slit Qubit

Abstract

We resolve phonon number states in the spectrum of a superconducting qubit coupled to a multimode acoustic cavity. Crucial to this resolution is the sharp frequency dependence in the qubit-phonon interaction engineered by coupling the qubit to surface acoustic waves in two locations separated by $\sim 40$ acoustic wavelengths. In analogy to double-slit diffraction, the resulting self-interference generates high-contrast frequency structure in the qubit-phonon interaction. We observe this frequency structure both in the coupling rate to multiple cavity modes and in the qubit spontaneous emission rate into unconfined modes. We use this sharp frequency structure to resolve single phonons by tuning the qubit to a frequency of destructive interference where all acoustic interactions are dispersive. By exciting several detuned yet strongly-coupled phononic modes and measuring the resulting qubit spectrum, we observe that, for two modes, the device enters the strong dispersive regime where single phonons are spectrally resolved.

arXiv comment9 pages, 8 figures; revised arguments in paragraphs 3 and 8, added Hamiltonian description, and corrected typos

References in corpus (34)

• Charge insensitive qubit design derived from the Cooper pair box
• Resolving photon number states in a superconducting circuit
• Bidirectional and efficient conversion between microwave and optical light
• Propagating phonons coupled to an artificial atom
• Quantum acoustics with superconducting qubits
• Testing the limits of quantum mechanical superpositions
• Quantum control of surface acoustic wave phonons
• Resolved sidebands in a strain-coupled hybrid spin-oscillator system
• Decoherence-free interaction between giant atoms in waveguide QED
• Surface participation and dielectric loss in superconducting qubits
• A Schrodinger Cat Living in Two Boxes
• Circuit quantum acoustodynamics with surface acoustic waves
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
• Creation and control of multi-phonon Fock states in a bulk acoustic wave resonator
• High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
• Universal Quantum Transducers based on Surface Acoustic Waves
• Probing spin-phonon interactions in silicon carbide with Gaussian acoustics
• Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
• The giant acoustic atom -- a single quantum system with a deterministic time delay
• Resolving the energy levels of a nanomechanical oscillator
• Photonic tensor networks produced by a single quantum emitter
• Cavity quantum acoustic device in the multimode strong coupling regime
• Probing the quantum vacuum with an artificial atom in front of a mirror
• Random access quantum information processors
• Surface acoustic wave resonators in the quantum regime
• Bulk crystalline optomechanics
• Qubit-assisted transduction for a detection of surface acoustic waves near the quantum limit
• Coupling a superconducting quantum circuit to a phononic crystal defect cavity
• Experimental demonstration of a two-dimensional phonon cavity in the quantum regime
• Superconducting circuit quantum computing with nanomechanical resonators as storage
• Phonon number sensitive electromechanics
• Interfacing planar superconducting qubits with high overtone bulk acoustic phonons
• Quantum Acoustics with Surface Acoustic Waves

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• Thin-film quartz for high-coherence piezoelectric phononic crystal resonators
• Quantum versus Classical Regime in Circuit Quantum Acoustodynamics
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• Thermally-induced qubit coherence in quantum electromechanics
• Quantum acoustic Fano interference of surface phonons
• Two-photon Interface of Nuclear Spins Based on the Opto-Nuclear Quadrupolar Effect
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• Quantum non-demolition measurements of moving target states
• High-impedance surface acoustic wave resonators
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• Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
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