Dissipative dynamics of a driven qubit: interplay between non-adiabatic dynamics and noise effects from weak to strong coupling regime

Abstract

We study the exact solution of the Schrödinger equation for the dissipative dynamics of a qubit, achieved by means of Short Iterative Lanczos method (SIL), which allows us to describe the qubit and the bath dynamics from weak to strong coupling regimes. We focus on two different models of a qubit in contact with the external environment: the first is the Spin Boson Model (SBM), which gives a description of the qubit in terms of static tunnelling energy and a bias field. The second model describes an externally driven qubit, where both the bias field and the tunnelling rate are controlled by a time-dependent magnetic field obeying to a finite time protocol. We show that in the SBM case, our solution correctly describes the crossover from coherent to incoherent behavior of the magnetization, occurring at the Toulouse point. Furthermore, we show that the bath response dramatically changes during the system dynamics, going from non-resonant at small times to resonant behavior at long times. When the external driving field is present, for fixed values of the drive duration our results show that the bath can provide beneficial effects to the success of the protocol. We find evidence for a complex interplay between non-adiabaticity of the protocol due to the external drive and dissipation effects, which strongly depends on the detailed form of the qubit-bath interaction.

13 pages, 16 figures

References in corpus (46)

• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• The role of quantum information in thermodynamics --- a topical review
• Robustness of adiabatic quantum computation
• Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
• Numerical Renormalization Group for Bosonic Systems and Application to the Subohmic Spin-Boson Model
• Minimizing irreversible losses in quantum systems by local counter-diabatic driving
• Observation of topological transitions in interacting quantum circuits
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Entropy production and thermodynamic power of the squeezed thermal reservoir
• Low-temperature dynamical simulation of spin-boson systems
• Decoherence in adiabatic quantum computation
• Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Gauging a quantum heat bath with dissipative Landau-Zener transitions
• Entanglement Entropy, decoherence, and quantum phase transition of a dissipative two-level system
• Generalized Laws of Thermodynamics in the Presence of Correlations
• Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
• Thermally assisted adiabatic quantum computation
• Energy exchange in driven open quantum systems at strong coupling
• Landau Zener transitions in a dissipative environment: Numerically exact results
• Entanglement and Criticality in Quantum Impurity Systems
• Dynamical Quantum Hall Effect in the Parameter Space
• Decoherence in a scalable adiabatic quantum computer
• Experimental determination of irreversible entropy production in out-of-equilibrium mesoscopic quantum systems
• Non-perturbative stochastic method for driven spin-boson model
• Correlations in quantum thermodynamics: Heat, work, and entropy production
• Quantum Dynamics of the Hubbard-Holstein Model in Equilibrium and Non-Equilibrium: Application to Pump-Probe Phenomena
• Witnessing the formation and relaxation of massive quasi-particles in a strongly correlated electron system
• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
• Crossover from coherent to incoherent dynamics in damped quantum systems
• Observation of the Bloch-Siegert shift in a driven quantum-to-classical transition
• Finite temperature quantum annealing solving exponentially small gap problem with non-monotonic success probability
• Landau-Zener transitions in a two-level system coupled to a finite-temperature harmonic oscillator
• Dissipative Landau-Zener problem and thermally assisted Quantum Annealing
• Efficient Real-Time Path Integrals for Non-Markovian Spin-Boson Models
• Nonadiabatic Dynamics of a Dissipative Two-level System
• Finite-time Landau-Zener processes and counter-diabatic driving in open systems: beyond Born, Markov and Rotating-wave approximations
• Quantum annealing via environment-mediated quantum diffusion
• A dissipative environment may improve the quantum annealing performances of the ferromagnetic p-spin model
• On the nature of the optical conductivity of polaron
• Explicit schemes for time propagating many-body wavefunctions
• Non-local composite spin-lattice polarons in high temperature superconductors
• Topology of a dissipative spin: dynamical Chern number, bath induced non-adiabaticity and a quantum dynamo effect
• Beyond the Born-Markov approximation: dissipative dynamics of a single qubit

Cited by in corpus (5)

• Quantum Phase Transition of Many Interacting Spins Coupled to a Bosonic Bath: static and dynamical properties
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• An exactly solvable model of calorimetric measurements
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation