Asymptotic Floquet states of a periodically driven spin-boson system in the nonperturbative coupling regime

Abstract

As a paradigmatic model of open quantum system, the spin-boson model is widely used in theoretical and experimental investigations. Beyond the weak coupling limit, the spin dynamics can be described by a time-nonlocal generalized master equation with a memory kernel accounting for the dissipative effects induced by the bosonic environment. When the spin is additionally modulated by an external time-periodic electromagnetic field, the interplay between dissipation and modulations yields a spectrum of nontrivial asymptotic states, especially in the regime of nonlinear response. Here we implement a method for the evaluation of Floquet dynamics in non-Markovian systems [L. Magazzù et al., Phys. Rev. A 96, 042103 (2017)] to find these strongly non-equilibrium states.

arXiv comment20 pages, 4 figures

References in corpus (35)

• The numerical renormalization group method for quantum impurity systems
• Atomic physics and quantum optics using superconducting circuits
• Coherent Quantum Dynamics of a Superconducting Flux Qubit
• Quantum information processing with superconducting circuits: a review
• Vibrations, Quanta and Biology
• Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
• Strongly interacting photons in one-dimensional continuum
• Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
• Exact c-number Representation of Non-Markovian Quantum Dissipation
• Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
• Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
• Low-temperature dynamical simulation of spin-boson systems
• A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots
• Universal Markovian reduction of Brownian particle dynamics
• A hybrid stochastic hierarchy equations of motion approach to treat the low temperature dynamics of non-Markovian open quantum systems
• Rigorous Born Approximation and beyond for the Spin-Boson Model
• Sparse polynomial space approach to dissipative quantum systems: Application to the sub-ohmic spin-boson model
• Probing the strongly driven spin-boson model in a superconducting quantum circuit
• The dissipative two-level system under strong ac-driving: a combination of Floquet and Van Vleck perturbation theory
• Thermofield-based chain mapping approach for open quantum systems
• Driven Tunneling Dynamics: Bloch-Redfield Theory versus Path Integral Approach
• Persistence of coherent quantum dynamics at strong dissipation
• Non-perturbative stochastic method for driven spin-boson model
• Asymptotic Floquet states of open quantum systems: The role of interaction
• Quantum simulation of the spin-boson model with a microwave circuit
• Effective Floquet-Gibbs states for dissipative quantum systems
• Driven open quantum systems and Floquet stroboscopic dynamics
• Strong coupling theory for driven tunneling and vibrational relaxation
• Strong coupling theory for tunneling and vibrational relaxation in driven bistable systems
• Generalized Floquet theory: application to dynamical systems with memory and Bloch's theorem for nonlocal potentials
• Spin-boson dynamics beyond conventional perturbation theories
• A Dynamical Theory of Electron Transfer: Crossover from Weak to Strong Electronic Coupling
• Quantum dissipative dynamics of a bistable system in the sub-Ohmic to super-Ohmic regime
• Dissipative dynamics in a quantum bistable system: Crossover from weak to strong damping
• Asymptotic Floquet states of non-Markovian systems

Cited by in corpus (10)

• Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
• Exact solution of time-dependent Lindblad equations with closed algebras
• Floquet states in dissipative open quantum systems
• Discontinuities in driven spin-boson systems due to coherent destruction of tunneling: breakdown of the Floquet-Gibbs distribution
• Minimal quantum thermal machine in a bandgap environment: non-Markovian features and anti-Zeno advantage
• Mode attraction in Floquet systems with memory: application to magnonics
• About the performance of perturbative treatments of the spin-boson dynamics within the hierarchical equations of motion approach
• The failure of semiclassical approach in the dissipative fully-connected Ising model
• Dissipative features of the driven spin-fermion system
• Interplay between external driving, dissipation and collective effects in the Markovian and non-Markovian regimes