Non-Markovian dynamics with fermions

Sargsyan, V. V.; Adamian, G. G.; Antonenko, N. V.; Lacroix, Denis

doi:10.1103/physreva.90.022123

Cited by 22 publications

(21 citation statements)

References 17 publications

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“…For stronger damping strength Q the dynamics is effectively slow down as can be seen in both panels. At equilibrium t → ∞ the average population in the low temperature regime kT ≪hω is calculated explicitly in the work of Sargsyan et al [21]:…”

Section: Population Dynamics Of the Non-markovian Two-mode Becmentioning

confidence: 99%

Non-Markovian dynamics of a two-mode Bose–Einstein condensate

Rajagopal

Muniandy

2015

Physica A: Statistical Mechanics and its Applications

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Section: Population Dynamics Of the Non-markovian Two-mode Becmentioning

confidence: 99%

Non-Markovian dynamics of a two-mode Bose–Einstein condensate

Rajagopal

Muniandy

2015

Physica A: Statistical Mechanics and its Applications

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“…As the detailed analysis of the dynamics of occupation numbers in the case of RWA coupling between the system and bath was presented in Ref. [41], here we study the FC-type coupling. In this case, the interaction Hamiltonian is written as…”

Section: The Hamiltonian Of the Whole System Ismentioning

confidence: 99%

“…In Ref. [41], we considered the quadratic fermionic Hamiltonians for collective and internal subsystems linearly coupled within the rotating-wave approximation (RWA) to analyze the role of the fermionic statistics (in the comparison with the bosonic statistics) in the dynamics of the collective motion. The Langevin approach [20][21][22][23][24] was applied to find the effects of fluctuations and dissipations in macroscopic systems.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of the present work is to extent the results of Ref. [41] and consider the general case of a fully coupled (FC) oscillator modeling fermionic (bosonic) collective subsystem coupled with a fermionic (bosonic) heat bath. The results obtained will be checked with the DEM [28] extended to treat FC oscillator and compared with those obtained in the RWA case.…”

Section: Introductionmentioning

confidence: 99%

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Non-Markovian dynamics of fully coupled fermionic and bosonic oscillators

et al. 2017

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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 numbers in two different types of couplings (rotating-wave approximation and fully coupled) are compared and discussed. The weak-coupling and high-and low-temperature limits are considered as well. The conditions under which the environment imposes its thermal equilibrium on the collective subsystem are discussed. The sameness of the results, obtained with both the Langevin approach and the discretized environment method are shown. Shortand long-time nonequilibrium dynamics of fermionic and bosonic open quantum systems are analyzed both analytically and numerically.

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“…For low energy nuclear reactions, the Pauli principle plays an important role [34,61]. In the ImQMD model, by using the phase space occupation constraint method [62], the fermionic properties of nucleons is approximately taken into account.…”

Section: A Imqmdmentioning

confidence: 99%

Energy dependence of the nucleus-nucleus potential and the friction parameter in fusion reactions

Wen

Sakata

et al. 2014

Phys. Rev. C

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Applying a macroscopic reduction procedure on the improved quantum molecular dynamics (ImQMD) model, the energy dependences of the nucleus-nucleus potential, the friction parameter, and the random force characterizing a one-dimensional Langevin-type description of the heavy-ion fusion process are investigated. Systematic calculations with the ImQMD model show that the fluctuation-dissipation relation found in the symmetric head-on fusion reactions at energies just above the Coulomb barrier fades out when the incident energy increases. It turns out that this dynamical change with increasing incident energy is caused by a specific behavior of the friction parameter which directly depends on the microscopic dynamical process, i.e., on how the collective energy of the relative motion is transferred into the intrinsic excitation energy. It is shown microscopically that the energy dissipation in the fusion process is governed by two mechanisms: One is caused by the nucleon exchanges between two fusing nuclei, and the other is due to a rearrangement of nucleons in the intrinsic system. The former mechanism monotonically increases the dissipative energy and shows a weak dependence on the incident energy, while the latter depends on both the relative distance between two fusing nuclei and the incident energy. It is shown that the latter mechanism is responsible for the energy dependence of the fusion potential and explains the fading out of the fluctuation-dissipation relation.

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Non-Markovian dynamics with fermions

Cited by 22 publications

References 17 publications

Non-Markovian dynamics of a two-mode Bose–Einstein condensate

Non-Markovian dynamics of a two-mode Bose–Einstein condensate

Non-Markovian dynamics of fully coupled fermionic and bosonic oscillators

Energy dependence of the nucleus-nucleus potential and the friction parameter in fusion reactions

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