Numerically exact quantum dynamics for indistinguishable particles: The multilayer multiconfiguration time-dependent Hartree theory in second quantization representation

2009 ◽  
Vol 131 (2) ◽  
pp. 024114 ◽  
Author(s):  
Haobin Wang ◽  
Michael Thoss
Keyword(s):  
Quantum Dynamics ◽  
Time Dependent ◽  
Second Quantization ◽  
Exact Quantum ◽  
Quantization Representation

scholarly journals Exponential parameterization of wave functions for quantum dynamics: Time-dependent Hartree in second quantization

2018 ◽  
Vol 149 (13) ◽  
pp. 134110 ◽  
Author(s):  
Niels Kristian Madsen ◽  
Mads Bøttger Hansen ◽  
Alberto Zoccante ◽  
Kasper Monrad ◽  
Mikkel Bo Hansen ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Wave Functions ◽  
Time Dependent ◽  
Second Quantization ◽  
Exponential Parameterization

SOLVING THE SINGLE LAYER MULTICONFIGURATION TIME-DEPENDENT HARTREE–FOCK EQUATION IN SECOND QUANTIZATION REPRESENTATION BASED ON A DECOMPOSITION OF THE OVERALL FOCK SPACE

2013 ◽  
Vol 12 (01) ◽  
pp. 1250105 ◽  
Author(s):  
WENLIANG LI ◽  
X. WENWU ◽  
H. KELI
Keyword(s):  
Fock Space ◽  
Single Layer ◽  
Time Dependent ◽  
Initial Condition ◽  
Imaginary Time ◽  
Second Quantization ◽  
Hartree Fock ◽  
Time Propagation ◽  
Set Up ◽  
Quantization Representation

Very recently, the multilayer multiconfiguration time-dependent Hartree (MCTDH) method based on a decomposition of the overall Fock space in second quantization representation was proposed [Wang H, Thoss M, J Chem Phys131:024114, 2009], and they have presented demonstrative numerical example on vibrationally coupled electron transport. Followed by the thinking, the strategies of the implement of the theory to deal with multielectron dynamics with consideration coulomb interaction were discussed in detail. Some demonstrative calculations have been carried out by using the single layer MCTDHF method. The influences of the different choice way of initial condition, such as the species of basis function, the type of decomposition of the full Fock space, the choice of the spin orbitals, the number of the single particle function and so on, on the imaginary time propagation are mainly studied. The bridge between the generalized theory and the calculation application has been set up.

scholarly journals Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
Axel U. J. Lode ◽  
Kaspar Sakmann ◽  
Ofir E. Alon ◽  
Lorenz S. Cederbaum ◽  
Alexej I. Streltsov
Keyword(s):  
Quantum Dynamics ◽  
Time Dependent ◽  
Exact Quantum

scholarly journals Chaos in time-dependent variational approximations to quantum dynamics

1998 ◽  
Vol 57 (2) ◽  
pp. 1489-1498 ◽  
Author(s):  
Fred Cooper ◽  
John Dawson ◽  
Salman Habib ◽  
Robert D. Ryne
Keyword(s):  
Quantum Dynamics ◽  
Time Dependent ◽  
Variational Approximations
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