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 assistance of fidelity susceptibility, we extract the scaling functions and the critical exponents, with which the universal scaling of the cumulant ratio is captured by rescaling the parameters related to the anisotropy. Moreover, a fixed point of the cumulant ratio is predicted at the critical point of the AQRM with finite anisotropy. In respect of 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 the way to explore distinct features of the AQRM in circuit QED systems for QPTs, quantum simulations and quantum information processing.
Highlights
Recent experimental progresses in solid-state-based quantum systems have allowed the advent of the so-called ultrastrong coupling (USC) regime [1,2,3] and the deep strong coupling (DSC) regime [4, 5] of light-matter interactions, where the coupling strength is comparable to (USC) or larger than (DSC) appreciable fractions of the mode frequency
By employing the Wigner quasi-probability distribution function (WF), we show some interesting features of the field statistical properties of the double degenerate anisotropic quantum Rabi model (AQRM) with ω = ωq = 0
By manipulating the flux qubits with bichromatic time-dependent magnetic fields, we propose an experimentally-accessible method to approach the physics of the anisotropic quantum Rabi model (AQRM) in broad parameter ranges
Summary
Recent experimental progresses in solid-state-based quantum systems have allowed the advent of the so-called ultrastrong coupling (USC) regime [1,2,3] and the deep strong coupling (DSC) regime [4, 5] of light-matter interactions, where the coupling strength is comparable to (USC) or larger than (DSC) appreciable fractions of the mode frequency In these regimes, the celebrated rotating-wave approximation (RWA) breaks down and the quantum Rabi model (QRM) is invoked [6, 7]. Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model setup has the distinct advantage that the parameters in the effective AQRM can be individually controlled by the frequencies and the amplitudes of the bichromatic magnetic fluxes.
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