Strong coupling theory for tunneling and vibrational relaxation in driven bistable systems

Abstract

A study of the dynamics of a tunneling particle in a driven bistable potential which is moderately-to-strongly coupled to a bath is presented. Upon restricting the system dynamics to the Hilbert space spanned by the M lowest energy eigenstates of the bare static potential, a set of coupled non-Markovian master equations for the diagonal elements of the reduced density matrix, within the discrete variale representation, is derived. The resulting dynamics is in good agreement with predictions of ab-initio real-time path integral simulations. Numerous results, analytical as well as numerical, for the quantum relaxation rate and for the asymptotic populations are presented. Our method is particularly convenient to investigate the case of shallow, time-dependent potential barriers and moderate-to-strong damping, where both a semi-classical and a Redfield-type approach are inappropriate.

37 pages, 23 figures

Cited by in corpus (27)

• Landau-Zener-Stuckelberg interferometry
• Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
• Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
• Statistical mechanics of Floquet systems: the pervasive problem of near degeneracies
• Stabilization of quantum metastable states by dissipation
• Vibrational effects in laser driven molecular wires
• The spin-boson model with a structured environment: A comparison of approaches
• Dynamics of the quantum Duffing oscillator in the driving induced bistable regime
• Exact propagation of open quantum systems in a system-reservoir context
• Exact Master Equation and General Non-Markovian Dynamics in Open Quantum Systems
• 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 a periodically driven spin-boson system in the nonperturbative coupling regime
• Quantum resonant activation
• Dynamics of a large spin with weak dissipation
• Bound states of the one-dimensional Dirac equation for scalar and vector double square-well potentials
• Specific heats of quantum double-well systems
• Gaussian wavepacket dynamics and quantum tunneling in asymmetric double-well systems
• Dynamics of a quantum two-state system in a linearly driven quantum bath
• Decoherence and relaxation of qubits coupled to low- and medium-frequency Ohmic baths directly and via a harmonic oscillator
• Spin-boson dynamics: A unified approach from weak to strong coupling
• Decoherence and relaxation of a qubit coupled to an Ohmic bath directly and via an intermediate harmonic oscillator
• High-order geometric integrators for the variational Gaussian approximation
• Macroscopic quantum tunneling of magnetization explored by quantum-first-order reversal curves (QFORC)
• Real-time Monte-Carlo simulations for dissipative tight-binding systems and time local master equations
• Validity of the time-dependent variational approximation to the Gaussian wavepacket method applied to double-well systems
• Noise-Assisted Metastability: From Lévy Flights to Memristors, Quantum Escape, and Josephson-based Axion Searches