Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
arXiv:1710.08862 · doi:10.1088/1367-2630/aac5b5
Abstract
Promising applications of the anisotropic quantum Rabi model (AQRM) in broad parameter ranges are explored, which is realized with superconducting flux qubits simultaneously driven by two-tone time-dependent magnetic fields. Regarding the quantum phase transitions (QPTs), with assistant of fidelity susceptibility, we extract the scaling functions and the critical exponents, with which the universal scaling of the cumulant ratio is captured with rescaling of the parameters due to the anisotropy. Moreover, a fixed point of the cumulant ratio is predicted at the critical point of the AQRM. In respect to quantum information tasks, the generation of the macroscopic Schrödinger cat states and quantum controlled phase gates are investigated in the degenerate case of the AQRM, whose performance is also investigated by numerical calculation with practical parameters. Therefore, our results pave a way to explore distinct features of the AQRM in circuit QED systems for QPTs, quantum simulations and quantum information processings.
17 pages, 7 figures
References in corpus (21)
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Low-decoherence flux qubit
- Fidelity susceptibility, scaling, and universality in quantum critical phenomena
- Quantum simulation of the quantum Rabi model in a trapped ion
- Enhancing cavity QED via anti-squeezing: synthetic ultra-strong coupling
- Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
- Scattering in the ultrastrong regime: nonlinear optics with one photon
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
- Scalable quantum memory in the ultrastrong coupling regime
- Fidelity Susceptibility in the Quantum Rabi Model
- Analytical solutions by squeezing to the anisotropic Rabi model in the nonperturbative deep-strong coupling regime
- Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
- Bridging the gap between the Jaynes-Cummings and Rabi models using an intermediate rotating wave approximation
- Analytical Solution for the Anisotropic Rabi Model: Effects of Counter-Rotating Terms
- Phase-kicked control of counter-rotating interactions in the quantum Rabi model
- Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
- Quantum simulation of general semi-classical Rabi model beyond strong driving regime
Cited by in corpus (32)
- Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
- Fidelity Susceptibility in One-dimensional Disordered Lattice Models
- Finite-component dynamical quantum phase transitions
- Spectroscopy and critical quantum thermometry in the ultrastrong coupling regime
- Exponential precision by reaching a quantum critical point
- Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
- Out-of-time-order correlators and quantum phase transitions in the Rabi and Dicke model
- Quantum coherence in a compass chain under an alternating magnetic field
- Critical quantum sensing based on the Jaynes-Cummings model with a squeezing drive
- Criticality-Enhanced Quantum Sensing in the Anisotropic Quantum Rabi Model
- Simulating Anisotropic quantum Rabi model via frequency modulation
- Hidden Single-Qubit Topological Phase Transition without Gap Closing in Anisotropic Light-Matter Interactions
- Resilience of the superradiant phase against effects in the quantum Rabi dimer
- Variational generalized rotating-wave approximation in the two-qubit quantum Rabi model
- Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
- Nodes and Spin Windings for Topological Transitions in Light-Matter Interactions: \\ Anisotropic Quantum Rabi Model as a Born Abstract Artist
- Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
- Characterizing Superradiant Phase of the Quantum Rabi Model
- Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
- Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy
- Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling
- Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
- Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
- Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
- Two-photon sideband transition in a driven quantum Rabi model : Quantitative discussions with derived longitudinal drives and beyond the rotating wave approximation
- Dissecting Superradiant Phase Transition in the Quantum Rabi Model
- A supersymmetry journey from the Jaynes-Cummings to the anisotropic Rabi model
- Multi-qubit Quantum Rabi Model and Multi-partite Entangled States in a Circuit QED System
- Detection of emitter-resonator coupling strength in quantum Rabi model via an auxiliary resonator
- Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
- Emergence of Rich Dissipative Phases in the Anisotropic Quantum Rabi Model Driven by the Term
- Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions