### Abstract

Quantum diffusion equations with transport coefficients explicitly depending on time are derived from the generalized non-Markovian Langevin equations. The asymptotic behavior of the friction and diffusion coefficients is investigated in the case of the FC and RWA couplings between the collective and internal subsystems. An asymptotic expression is obtained for the propagator of the density matrix of the open quantum system with the general quadratic Hamiltonian, linearly coupled (in coordinate and momentum) to internal degrees of freedom. The effect of different sets of transport coefficients on the decoherence and decay rate of the metastable state is investigated using the master equation for the reduced density matrix of open quantum systems. The developed approach is used to study the capture of the projectile nucleus by the target nucleus at energies near the Coulomb barrier. Capture cross sections in asymmetric reactions are well described with allowance for the calculated capture probabilities. Particular cases where dissipation favors penetration through the potential barrier are found. The generalized Kramers formula for the quasi-stationary decay rate of the quantum metastable systems is analytically derived.

Original language | English |
---|---|

Pages (from-to) | 157-205 |

Number of pages | 49 |

Journal | Physics of Particles and Nuclei |

Volume | 47 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1 Mar 2016 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics of Particles and Nuclei*,

*47*(2), 157-205. https://doi.org/10.1134/S1063779616020064

**Application of the theory of open quantum systems to nuclear physics problems.** / Sargsyan, V. V.; Kanokov, Z.; Adamian, G. G.; Antonenko, N. V.

Research output: Contribution to journal › Article

*Physics of Particles and Nuclei*, vol. 47, no. 2, pp. 157-205. https://doi.org/10.1134/S1063779616020064

}

TY - JOUR

T1 - Application of the theory of open quantum systems to nuclear physics problems

AU - Sargsyan, V. V.

AU - Kanokov, Z.

AU - Adamian, G. G.

AU - Antonenko, N. V.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - Quantum diffusion equations with transport coefficients explicitly depending on time are derived from the generalized non-Markovian Langevin equations. The asymptotic behavior of the friction and diffusion coefficients is investigated in the case of the FC and RWA couplings between the collective and internal subsystems. An asymptotic expression is obtained for the propagator of the density matrix of the open quantum system with the general quadratic Hamiltonian, linearly coupled (in coordinate and momentum) to internal degrees of freedom. The effect of different sets of transport coefficients on the decoherence and decay rate of the metastable state is investigated using the master equation for the reduced density matrix of open quantum systems. The developed approach is used to study the capture of the projectile nucleus by the target nucleus at energies near the Coulomb barrier. Capture cross sections in asymmetric reactions are well described with allowance for the calculated capture probabilities. Particular cases where dissipation favors penetration through the potential barrier are found. The generalized Kramers formula for the quasi-stationary decay rate of the quantum metastable systems is analytically derived.

AB - Quantum diffusion equations with transport coefficients explicitly depending on time are derived from the generalized non-Markovian Langevin equations. The asymptotic behavior of the friction and diffusion coefficients is investigated in the case of the FC and RWA couplings between the collective and internal subsystems. An asymptotic expression is obtained for the propagator of the density matrix of the open quantum system with the general quadratic Hamiltonian, linearly coupled (in coordinate and momentum) to internal degrees of freedom. The effect of different sets of transport coefficients on the decoherence and decay rate of the metastable state is investigated using the master equation for the reduced density matrix of open quantum systems. The developed approach is used to study the capture of the projectile nucleus by the target nucleus at energies near the Coulomb barrier. Capture cross sections in asymmetric reactions are well described with allowance for the calculated capture probabilities. Particular cases where dissipation favors penetration through the potential barrier are found. The generalized Kramers formula for the quasi-stationary decay rate of the quantum metastable systems is analytically derived.

UR - http://www.scopus.com/inward/record.url?scp=84962339544&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84962339544&partnerID=8YFLogxK

U2 - 10.1134/S1063779616020064

DO - 10.1134/S1063779616020064

M3 - Article

VL - 47

SP - 157

EP - 205

JO - Physics of Particles and Nuclei

JF - Physics of Particles and Nuclei

SN - 1063-7796

IS - 2

ER -