scholarly journals Finite-temperature Gutzwiller approximation from the time-dependent variational principle

2015 ◽  
Vol 92 (8) ◽  
Author(s):  
Nicola Lanatà ◽  
Xiaoyu Deng ◽  
Gabriel Kotliar
Keyword(s):  
Variational Principle ◽  
Finite Temperature ◽  
Time Dependent ◽  
Gutzwiller Approximation

scholarly journals Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics

2020 ◽  
Vol 18 (06) ◽  
pp. 2050030
Author(s):  
Satoya Imai
Keyword(s):  
Quantum Mechanics ◽  
Variational Principle ◽  
Quantum System ◽  
Quantum Entanglement ◽  
Vortex Dynamics ◽  
Ritz Method ◽  
Hamiltonian Formalism ◽  
Time Dependent ◽  
Nodal Points ◽  
As If

The hydrodynamic representation of quantum mechanics describes virtual flow as if a quantum system were fluid in motion. This formulation illustrates pointlike vortices when the phase of a wavefunction becomes nonintegrable at nodal points. We study the dynamics of such pointlike vortices in the hydrodynamic representation for a two-particle wavefunction. In particular, we discuss how quantum entanglement influences vortex–vortex dynamics. For this purpose, we employ the time-dependent quantum variational principle combined with the Rayleigh–Ritz method. We analyze the vortex dynamics and establish connections with Dirac’s generalized Hamiltonian formalism.

scholarly journals Parallel time-dependent variational principle algorithm for matrix product states

2020 ◽  
Vol 101 (23) ◽  
Author(s):  
Paul Secular ◽  
Nikita Gourianov ◽  
Michael Lubasch ◽  
Sergey Dolgov ◽  
Stephen R. Clark ◽  
...  
Keyword(s):  
Variational Principle ◽  
Time Dependent ◽  
Matrix Product ◽  
Matrix Product States ◽  
Parallel Time

scholarly journals Finite-temperature time-dependent variation with multiple Davydov states

2017 ◽  
Vol 146 (12) ◽  
pp. 124127 ◽  
Author(s):  
Lu Wang ◽  
Yuta Fujihashi ◽  
Lipeng Chen ◽  
Yang Zhao
Keyword(s):  
Finite Temperature ◽  
Time Dependent ◽  
Temperature Time
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