scholarly journals Energy density matrix formalism for interacting quantum systems: Quantum Monte Carlo study

2014 ◽  
Vol 90 (3) ◽  
Author(s):  
Jaron T. Krogel ◽  
Jeongnim Kim ◽  
Fernando A. Reboredo
Keyword(s):  
Monte Carlo ◽  
Energy Density ◽  
Density Matrix ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Quantum Systems ◽  
Matrix Formalism ◽  
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 Phase separation in the two-dimensional Hubbard model: A fixed-node quantum Monte Carlo study

1998 ◽  
Vol 58 (22) ◽  
pp. R14685-R14688 ◽  
Author(s):  
A. C. Cosentini ◽  
M. Capone ◽  
L. Guidoni ◽  
G. B. Bachelet
Keyword(s):  
Monte Carlo ◽  
Phase Separation ◽  
Hubbard Model ◽  
Quantum Monte Carlo ◽  
Monte Carlo Study ◽  
Two Dimensional ◽  
Fixed Node
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