Universal dynamics of superradiant phase transition in the anisotropic quantum Rabi model
arXiv:2009.11047 · doi:10.1103/PhysRevA.104.043307
Abstract
We investigate the universally non-equilibrium dynamics of superradiant phase transition in the anisotropic quantum Rabi model. By introducing position and momentum operators, we obtain the ground states and their excitation gaps for both normal and superradiant phases via perturbation theory. We analytically extract the critical exponents from the excitation gap and the diverging length scale near the critical point, and find that the critical exponents are independent upon the anisotropy ratio. Moreover, by simulating the real-time dynamics across the critical point, we numerically extract the critical exponents from the phase transition delay and the diverging length scale, which are well consistent with the analytical ones. Our study provides a dynamic way to explore universal critical behaviors in the quantum Rabi model.
arXiv comment9 pages, 5 figures
References in corpus (67)
- Many-Body Physics with Ultracold Gases
- Nonequilibrium dynamics of closed interacting quantum systems
- Ultrastrong coupling between light and matter
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Ultrastrong coupling regimes of light-matter interaction
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Cosmological Experiments in Condensed Matter Systems
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Quantum vacuum properties of the intersubband cavity polariton field
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Big bang simulation in superfluid 3He-B -- Vortex nucleation in neutron-irradiated superflow
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Symmetry Breaking and Topological Defect Formation in Ion Coulomb Crystals
- Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
- Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
- Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
- The quantum Rabi model: solution and dynamics
- Experimentally simulating the dynamics of quantum light and matter at ultrastrong coupling
- Superradiance transition in a system with a single qubit and a single oscillator
- Quantum Rabi Model with Trapped Ions
- Universal scaling and critical exponents of the anisotropic quantum Rabi model
- Analog quantum simulation of the Rabi model in the ultra-strong coupling regime
- Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
- Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
- Quantum simulation of the quantum Rabi model in a trapped ion
- Enhancing cavity QED via anti-squeezing: synthetic ultra-strong coupling
- Structural defects in ion crystals by quenching the external potential: the inhomogeneous Kibble-Zurek mechanism
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Soliton creation during a Bose-Einstein condensation
- Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
- Analytical eigenstates for the quantum Rabi model
- Anisotropic Rabi model
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Causality in Condensates: Grey Solitons as Remnants of BEC Formation
- Some remarks on 'superradiant' phase transitions in light-matter systems
- Phase separation and pattern formation in a binary Bose-Einstein condensate
- Spontaneous Fluxoid Formation in Superconducting Loops
- Universality and Anomalous Mean-Field Breakdown of Symmetry-Breaking Transitions in A Coupled Two-Component Condensate
- Coarsening dynamics of binary Bose condensates
- Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions
- Solitons as the early stage of quasicondensate formation during evaporative cooling
- Ground-state phase diagram of the quantum Rabi model
- Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
- Variational study of the nu=1 quantum Hall ferromagnet in the presence of spin-orbit interaction
- Kibble-Zurek scaling and its breakdown for spontaneous generation of Josephson vortices in Bose-Einstein condensates
- Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
- Variational study of a two-level system coupled to a harmonic oscillator in a ultrastrong coupling regime
- Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
- Observation of generalized Kibble-Zurek mechanism across a first-order quantum phase transition in a spinor condensate
- Double universality of a quantum phase transition in spinor condensates: the Kibble-Żurek mechanism and a conservation law
- Coherent inflationary dynamics for Bose-Einstein condensates crossing a quantum critical point
- Analytical energy spectrum for hybrid mechanical systems
- Causality and defect formation in the dynamics of an engineered quantum phase transition in a coupled binary Bose-Einstein condensate
- Analytical solutions by squeezing to the anisotropic Rabi model in the nonperturbative deep-strong coupling regime
- The energy level crossing behavior and quantum Fisher information in a quantum well with spin-orbit coupling
- Simulating Anisotropic quantum Rabi model via frequency modulation
- Ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit circuit QED system
- Universality of miscible-immiscible phase separation dynamics in two-component Bose-Einstein condensates
- The quantum Rabi model in a superfluid Bose-Einstein condensate
- Kibble-Zurek dynamics in an array of coupled binary Bose condensates
- Universal spatiotemporal dynamics of spontaneous superfluidity breakdown in the presence of synthetic gauge fields
- Universal dynamics of zero-momentum to plane-wave transition in spin-orbit coupled Bose-Einstein condensates