Transient Dynamics and Asymptotic Populations in a Driven Metastable Quantum System

The dissipative dynamics of a quantum bistable system coupled to a Ohmic heat bath is investigated beyond the spin-boson approximation. Within the path-integral approach to quantum dissipation, we propose an approximation scheme which exploits the separation of time scales between intra-and interwell (tunneling) dynamics. The resulting generalized master equation for the populations in a space localized basis enables us to investigate a wide range of temperatures and system-environment coupling strengths. A phase diagram in the coupling-temperature space is provided to give a comprehensive account of the different dynamical regimes.

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“…[5,6]. Moreover, asymmetric bistable systems are used to investigate the relaxation from a quantum metastable state [7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Dissipative dynamics in a quantum bistable system: Crossover from weak to strong damping

et al. 2015

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“…Nevertheless it gives a good estimate for the relaxation time also in the crossover dynamical regime [46]. The master equation (17) has been used to obtain the dynamics and stationary populations in the presence of an external driving [47] and to address the problem of the escape from a quantum metastable state, starting from a nonequilibrium initial condition, with a strongly asymmetric bistable potential and Ohmic dissipation [48].…”

Section: J Stat Mech (2016) 054016mentioning

confidence: 99%

Quantum dissipative dynamics of a bistable system in the sub-Ohmic to super-Ohmic regime

Magazzù¹,

Carollo²,

Spagnolo³

et al. 2016

J. Stat. Mech.

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Abstract. We investigate the quantum dynamics of a multilevel bistable system coupled to a bosonic heat bath beyond the perturbative regime. We consider dierent spectral densities of the bath, in the transition from subOhmic to super-Ohmic dissipation, and dierent cuto frequencies. The study is carried out by using the real-time path integral approach of the FeynmanVernon influence functional. We find that, in the crossover dynamical regime characterized by damped intrawell oscillations and incoherent tunneling, the short time behavior and the time scales of the relaxation starting from a nonequilibrium initial condition depend nontrivially on the spectral properties of the heat bath.

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“…In general, the evolution of a quantum particle subjected to a time-dependent asymmetric bistable potential and affected by environmental noise has been analyzed by the Caldeira-Leggett model, which allows to derive a quantum mechanical analogue of the generalized Langevin equation [34][35][36].…”

Section: B(x T)mentioning

confidence: 99%

Energy transport mechanism in the form of proton soliton in a one-dimensional hydrogen-bonded polypeptide chain

et al. 2015

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The dynamics of protons in a one-dimensional hydrogen-bonded (HB) polypeptide chain (PC) is investigated theoretically. A new Hamiltonian is formulated with the inclusion of higher-order molecular interactions between peptide groups (PGs). The wave function of the excitation state of a single particle is replaced by a new wave function of a two-quanta quasi-coherent state. The dynamics is governed by a higher-order nonlinear Schrödinger equation and the energy transport is performed by the proton soliton. A nonlinear multiple-scale perturbation analysis has been performed and the evolution of soliton parameters such as velocity and amplitude is explored numerically. The proton soliton is thermally stable and very robust against these perturbations. The energy transport by the proton soliton is more appropriate to understand the mechanism of energy transfer in biological processes such as muscle contraction, DNA replication, and neuro-electric pulse transfer on biomembranes.

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Transient Dynamics and Asymptotic Populations in a Driven Metastable Quantum System

Cited by 4 publications

References 15 publications

Dissipative dynamics in a quantum bistable system: Crossover from weak to strong damping

Dissipative dynamics in a quantum bistable system: Crossover from weak to strong damping

Quantum dissipative dynamics of a bistable system in the sub-Ohmic to super-Ohmic regime

Energy transport mechanism in the form of proton soliton in a one-dimensional hydrogen-bonded polypeptide chain

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