# Description of non-Markovian effect in open quantum system with the discretized environment method

@article{Lacroix2015DescriptionON, title={Description of non-Markovian effect in open quantum system with the discretized environment method}, author={Denis Lacroix and V. V. Sargsyan and G. G. Adamian and N. V. Antonenko}, journal={The European Physical Journal B}, year={2015}, volume={88}, pages={1-8} }

An approach, called discretized environment method, is used to treat exactly non-Markovian effects in open quantum systems. In this approach, a complex environment described by a spectral function is mapped into a finite set of discretized states with an appropriate coupling to the system of interest. The finite set of system plus environment degrees of freedom are then explicitly followed in time leading to a quasi-exact description. The present approach is anticipated to be particularly…

## 13 Citations

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A method is proposed to describe Fermi or Bose systems coupled to one or several heat baths composed of fermions and/or bosons. The method, called Coupled Equations of Motion method, properly…

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Abstract The non-Markovian dynamics of a charged particle linearly coupled to a neutral bosonic heat bath is investigated in an external uniform magnetic field. The analytical expressions for the…

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The non-Markovian Langevin approach is applied to study the dynamics of fermionic (bosonic) oscillator linearly coupled to a fermionic (bosonic) environment. The analytical expressions for occupation…

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For the fermionic or bosonic oscillator fully coupled to several heat baths with mixed statistics, the analytical expressions for the occupation numbers are derived within the non-Markovian quantum…

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- Physics, MedicinePhysical review. E
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- MedicinePhysical review. E
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The orbital diamagnetism of graphene in a dissipative environment and an external uniform magnetic field is studied and compared with existing experimental data and the results are presented for the electric conductivity and resonance behavior of the mass magnetization in graphene.

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- PhysicsPhysica A: Statistical Mechanics and its Applications
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Abstract Employing the quadratic fermionic and bosonic Hamiltonians for the collective and internal subsystems with a linear full coupling, we studied the role of heat-bath statistics on the dynamics…

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- 2019

To explain aspects of the quantum-to-classical transition, quantum Darwinism explores the fact that, due to interactions between a quantum open system and its surrounding environment, information…

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The potential-barrier penetrability and quasi-stationary thermal-decay rate of a metastable state are formulated in terms of microscopic quantum diffusion. Apart from linear coupling in momentum…

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