scholarly journals Open Quantum Systems: Density Matrix Formalism and Applications

2012 ◽  
pp. 211-229 ◽  
Author(s):  
David G. Tempel ◽  
Joel Yuen-Zhou ◽  
Alán Aspuru-Guzik
Keyword(s):  
Density Matrix ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Matrix Formalism ◽  
Open Quantum ◽  
Density Matrix Formalism

scholarly journals Quantum States of Hierarchic Systems

2003 ◽  
Vol 01 (02) ◽  
pp. 269-278 ◽  
Author(s):  
Mikhail V. Altaisky
Keyword(s):  
Hilbert Space ◽  
Density Matrix ◽  
Degrees Of Freedom ◽  
Quantum Systems ◽  
Quantum States ◽  
Matrix Formalism ◽  
Density Matrix Formalism ◽  
Theory Of Measurements ◽  
Novel Method ◽  
Chemical And Biological Systems

The density matrix formalism which is widely used in the theory of measurements, quantum computing, quantum description of chemical and biological systems always implies the averaging over all states of the environment. In practice this is impossible because the environment of the system is the complement of this system to the whole Universe and contains infinitely many degrees of freedom. A novel method of construction density matrix which implies the averaging only over the direct environment is proposed. The Hilbert space of state vectors for the hierarchic quantum systems is constructed.

DENSITY MATRIX FORMALISM, DOUBLE-SPACE AND THERMO FIELD DYNAMICS IN NON-EQUILIBRIUM DISSIPATIVE SYSTEMS

1991 ◽  
Vol 05 (11) ◽  
pp. 1821-1842 ◽  
Author(s):  
MASUO SUZUKI
Keyword(s):  
Density Matrix ◽  
Quantum Systems ◽  
Harmonic Oscillators ◽  
Matrix Formalism ◽  
Thermo Field Dynamics ◽  
Density Matrix Formalism ◽  
Space Formulation ◽  
Double Space ◽  
Dissipative Quantum Systems ◽  
Non Equilibrium

General relationship among the density matrix formalism, the double-space formulation and thermo field dynamics is discussed in non-equilibrium dissipative quantum systems. The concept of weakly equivalent operators in the double space formulation is introduced to review many well-known results and it is shown to be useful in mapping between the density matrix formalism and the double space formulation. A new non-equilibrium thermo field dynamics is formulated to discuss dissipative quantum systems. A simple example of damped harmonic oscillators is discussed in the present representation.

scholarly journals Application of the theory of open quantum systems in nuclear physics

2019 ◽  
Vol 49 ◽  
pp. 1960008
Author(s):  
V. V. Sargsyan ◽  
Z. Kanokov ◽  
G. G. Adamian ◽  
N. V. Antonenko
Keyword(s):  
Nuclear Physics ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Reduced Density Matrix ◽  
Quantum Model ◽  
Matrix Formalism ◽  
Capture Process ◽  
Projectile Nucleus ◽  
Density Matrix Formalism ◽  
Reduced Density

Projectile-nucleus capture by a target nucleus at bombarding energies in the vicinity of the Coulomb barrier is treated with the reduced-density-matrix formalism. The effects of dissipation and fluctuations on the capture process are taken self-consistently into account within the quantum model suggested. The excitation functions for the capture in the reactions [Formula: see text]O, [Formula: see text]F, [Formula: see text]Mg, [Formula: see text]Si, [Formula: see text]S, [Formula: see text]Ca, [Formula: see text]Ti, [Formula: see text]Cr [Formula: see text] [Formula: see text]Pb are calculated and compared with the experimental data.

Relaxation of interacting open quantum systems

2018 ◽  
Vol 189 (05) ◽  
Author(s):  
Vladislav Yu. Shishkov ◽  
Evgenii S. Andrianov ◽  
Aleksandr A. Pukhov ◽  
Aleksei P. Vinogradov ◽  
A.A. Lisyansky
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum
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