Langevin equation for a dissipative macroscopic quantum system: Bohmian theory versus quantum mechanics

Naeij, Hamid Reza; Shafiee, Afshin

doi:10.1007/s40509-019-00195-5

Cited by 3 publications

(2 citation statements)

References 249 publications

(421 reference statements)

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“…We investigate the transition between the states |P * 1 P 2 and |P 1 P * 2 by calculating the probability of finding the excitation in each state after time t in the presence of a harmonic environment. The Hamiltonian of the entire system can be introduced as Ĥ = Ĥs + Ĥε + Ĥsε (7) where Ĥε is the Hamiltonian of the environment and H sε is the system-environment interaction Hamiltonian which in our formalism [36][37][38] has the form…”

Section: Probability Of Exciton Transfer In a Two-pigment Photo-synth...mentioning

confidence: 99%

An investigation into the energy transfer efficiency of a two-pigment photosynthetic system using a macroscopic quantum model

Ghasemi¹,

Shafiee²

2020

Preprint

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Despite several different measures of efficiency that are applicable to the photosynthetic systems, a precise degree of efficiency of these systems is not completely determined. Introducing an efficient model for the dynamics of light-harvesting complexes in biological environments is a major purpose in investigating such systems. Here, we investigate the effect of macroscopic quantum behavior of a system of two pigments on the transport phenomena in this system model which interacts with an oscillating environment. We use the second-order perturbation theory to calculate the time-dependent population of excitonic states of a two-dimensional Hamiltonian using a non-master equation approach. Our results demonstrate that the quantum efficiency is robust with respect to the macroscopicity parameter h solely, but the ratio of macroscopicity over the pigment-pigment interaction energy can be considered as a parameter that may control the energy transfer efficiency at a given time. So, the dynamical behavior and the quantum efficiency of the supposed photosynthetic system may be influenced by a change in the macroscopic behavior of the system.

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Section: Probability Of Exciton Transfer In a Two-pigment Photo-synth...mentioning

confidence: 99%

An investigation into the energy transfer efficiency of a two-pigment photosynthetic system using a macroscopic quantum model

Ghasemi¹,

Shafiee²

2020

Preprint

Self Cite

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“…The evolution of an open quantum system is non-unitary and follows master equations instead of Schrödinger's equation [1,2]. In recent years, there are many works in some fields of quantum mechanics such as quantum foundations, quantum optics, quantum information, quantum biology, etc that investigate the effect of the environment on quantum systems and decoherence theory; the literature on this subject is vast [3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Rotational decoherence due to thermal photon scattering

Naeij¹

2022

Preprint

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Mimicking classical noise in ion channels by quantum decoherence

Seifi,

Soltanmanesh,

Shafiee

2024

Sci Rep

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The mechanism of selectivity in ion channels is still an open question in biology. Recent studies suggest that the selectivity filter may exhibit quantum coherence, which could help explain how ions are selected and conducted. However, environmental noise causes decoherence and loss of quantum effects. It is hoped that the effect of classical noise on ion channels can be modeled using the framework provided by quantum decoherence theory. In this paper, the behavior of the ion channel system was simulated using two models: the Spin–Boson model and the stochastic Hamiltonian model under classical noise. Additionally, using a different approach, the system’s evolution was modeled as a two-level Spin–Boson model with tunneling, interacting with a bath of harmonic oscillators, based on decoherence theory. We investigated under what conditions the decoherence model approaches and deviates from the noise model. Specifically, we examined Gaussian noise and Ornstein-Uhlenbeck noise in our model. Gaussian noise shows a very good agreement with the decoherence model. By examining the results, it was found that the Spin–Boson model at a high hopping rate of potassium ions can simulate the behavior of the system in the classical noise approach for Gaussian noise.

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Langevin equation for a dissipative macroscopic quantum system: Bohmian theory versus quantum mechanics

Cited by 3 publications

References 249 publications

An investigation into the energy transfer efficiency of a two-pigment photosynthetic system using a macroscopic quantum model

An investigation into the energy transfer efficiency of a two-pigment photosynthetic system using a macroscopic quantum model

Rotational decoherence due to thermal photon scattering

Mimicking classical noise in ion channels by quantum decoherence

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