Fixing the rotating-wave approximation for strongly-detuned quantum oscillators
arXiv:2202.13172 · doi:10.1103/PhysRevResearch.4.033177
Abstract
Periodically-driven oscillators are commonly described in a frame co-rotating with the drive and using the rotating-wave approximation (RWA). This description, however, is known to induce errors for off-resonant driving. Here we show that the standard quantum description, using creation and annihilation of particles with the oscillator's natural frequency, necessarily leads to incorrect results when combined with the RWA. We demonstrate this on the simple harmonic oscillator and present an alternative operator basis which reconciles the RWA with off-resonant driving. The approach is also applicable to more complex models, where it accounts for known discrepancies. As an example, we demonstrate the advantage of our scheme on the driven quantum Duffing oscillator.
6 pages, 2 figures
References in corpus (23)
- Circuit Quantum Electrodynamics
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Microwave photonics with superconducting quantum circuits
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Generalized rotating-wave approximation for arbitrarily large coupling
- Superabsorption in an organic microcavity: towards a quantum battery
- Quantum Zeno and Anti-Zeno Effect without Rotating Wave Approximation
- Non-Hermitian chiral phononics through optomechanically-induced squeezing
- Response of the Strongly-Driven Jaynes-Cummings Oscillator
- Review of cavity optomechanical cooling
- Opportunities for long-range magnon-mediated entanglement of spin qubits via on- and off-resonant coupling
- Emerging dissipative phases in a superradiant quantum gas with tunable decay
- Qantum theory of optomechanical cooling
- Enhancing associative memory recall and storage capacity using confocal cavity QED
- Distinctive class of dissipation-induced phase transitions and their universal characteristics
- Dissipative dynamics of a biased qubit coupled to a harmonic oscillator: Analytical results beyond the rotating wave approximation
- Magnon-assisted photon-phonon conversion in the presence of the structured environments
- Generalized rotating-wave approximation to the two-qubit and cavity coupling system
- Exploiting vibrational strong coupling to make an optical parametric oscillator out of a Raman laser
- Nonlinearity-induced reciprocity breaking in a single non-magnetic Taiji resonator
- Bridging the gap between the Jaynes-Cummings and Rabi models using an intermediate rotating wave approximation
- Towards a quantum interface between spin waves and paramagnetic spin baths
- Sideband transitions in a two-mode Josephson circuit driven beyond the rotating wave approximation