Quantum state preparation for coupled period tripling oscillators
arXiv:1904.09628 · doi:10.1103/PhysRevResearch.1.023023
Abstract
We investigate the quantum transition to a correlated state of coupled oscillators in the regime where they display period tripling in response to a drive at triple the eigenfrequency. Correlations are formed between the discrete oscillation phases of individual oscillators. The evolution toward the ordered state is accompanied by the transient breaking of the symmetry between seemingly equivalent configurations. We attribute this to the nontrivial geometric phase that characterizes period tripling. We also show that the Wigner distribution of a single damped quantum oscillator can display a minimum at the classically stable zero-amplitude state.
arXiv comment7 pages, 9 figures
References in corpus (24)
- Quantum Annealing in the Transverse Ising Model
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
- Quantum annealing with more than one hundred qubits
- Robustness of adiabatic quantum computation
- A Dissipatively Stabilized Mott Insulator of Photons
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Computational Role of Multiqubit Tunneling in a Quantum Annealer
- Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
- Quantum annealing with a network of all-to-all connected, two-photon driven Kerr nonlinear oscillators
- Quantum Computation Based on Quantum Adiabatic Bifurcations of Kerr-Nonlinear Parametric Oscillators
- Robust quantum optimizer with full connectivity
- Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
- Quantum dynamics of a few-photon parametric oscillator
- Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
- Dissipative quantum bifurcation machine: Quantum heating of coupled nonlinear oscillators
- Interaction-induced time-symmetry breaking in driven quantum oscillators
- Multiple-period Floquet states and time-translation symmetry breaking in quantum oscillators
- Preparing quasienergy states on demand: A parametric oscillator
- Two-photon driven Kerr resonator for quantum annealing with three-dimensional circuit QED
- Period-tripling subharmonic oscillations in a driven superconducting resonator
- Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer
- Simulating frustrated antiferromagnets with quadratically driven QED cavities
Cited by in corpus (17)
- Mesoscopic physics of nanomechanical systems
- Observation of Three-Photon Spontaneous Parametric Downconversion in a Superconducting Parametric Cavity
- Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
- Condensed Matter Physics in Time Crystals
- Relaxation dynamics and dissipative phase transition in quantum oscillators with period tripling
- Multi-Photon Resonances in Josephson Junction-Cavity Circuits
- Quantum associative memory with a single driven-dissipative nonlinear oscillator
- Quantum frequency locking and down-conversion in a driven cavity-qubit system
- Nonlocal random walk over Floquet states of a dissipative nonlinear oscillator
- Phase synchronization in coupled bistable oscillators
- Fixing the rotating-wave approximation for strongly-detuned quantum oscillators
- Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
- Period tripling due to parametric down-conversion in circuit QED
- Engineering Arbitrary Hamiltonians in Phase Space
- Energy Transfer into Period-Tripled States in Coupled Electromechanical Modes at Internal Resonance
- Persistent nonlinear phase-locking and non-monotonic energy dissipation in micromechanical resonators
- Period tripling due to Josephson parametric down-conversion beyond the rotating-wave approximation