scholarly journals Performance of the time-dependent variational principle for matrix product states in the long-time evolution of a pure state

2019 ◽  
Vol 99 (5) ◽  
Author(s):  
Shimpei Goto ◽  
Ippei Danshita
Keyword(s):  
Variational Principle ◽  
Time Evolution ◽  
Pure State ◽  
Time Dependent ◽  
Matrix Product ◽  
Matrix Product States ◽  
Long Time ◽  
Long Time Evolution

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 Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 984
Author(s):  
Regina Finsterhölzl ◽  
Manuel Katzer ◽  
Andreas Knorr ◽  
Alexander Carmele
Keyword(s):  
Time Evolution ◽  
Nearest Neighbor ◽  
Matrix Product ◽  
Body System ◽  
Many Body ◽  
Initial State ◽  
Matrix Product States ◽  
Open Quantum ◽  
Many Body Systems ◽  
The Many

This paper presents an efficient algorithm for the time evolution of open quantum many-body systems using matrix-product states (MPS) proposing a convenient structure of the MPS-architecture, which exploits the initial state of system and reservoir. By doing so, numerically expensive re-ordering protocols are circumvented. It is applicable to systems with a Markovian type of interaction, where only the present state of the reservoir needs to be taken into account. Its adaption to a non-Markovian type of interaction between the many-body system and the reservoir is demonstrated, where the information backflow from the reservoir needs to be included in the computation. Also, the derivation of the basis in the quantum stochastic Schrödinger picture is shown. As a paradigmatic model, the Heisenberg spin chain with nearest-neighbor interaction is used. It is demonstrated that the algorithm allows for the access of large systems sizes. As an example for a non-Markovian type of interaction, the generation of highly unusual steady states in the many-body system with coherent feedback control is demonstrated for a chain length of N=30.

scholarly journals Real time evolution at finite temperatures with operator space matrix product states

2014 ◽  
Vol 16 (7) ◽  
pp. 073007 ◽  
Author(s):  
Iztok Pižorn ◽  
Viktor Eisler ◽  
Sabine Andergassen ◽  
Matthias Troyer
Keyword(s):  
Real Time ◽  
Time Evolution ◽  
Operator Space ◽  
Matrix Product ◽  
Matrix Product States ◽  
Space Matrix

Long-time evolution of linearly stratified spin-up flows in axisymmetric geometries

2005 ◽  
Vol 17 (1) ◽  
pp. 016601 ◽  
Author(s):  
S. A. Smirnov ◽  
P. G. Baines ◽  
D. L. Boyer ◽  
S. I. Voropayev ◽  
A. N. Srdic-Mitrovic
Keyword(s):  
Time Evolution ◽  
Long Time ◽  
Long Time Evolution

Polarization, hosing and long time evolution of relativistic laser pulses

2001 ◽  
Vol 8 (9) ◽  
pp. 4149-4155 ◽  
Author(s):  
N. M. Naumova ◽  
J. Koga ◽  
K. Nakajima ◽  
T. Tajima ◽  
T. Zh. Esirkepov ◽  
...  
Keyword(s):  
Time Evolution ◽  
Laser Pulses ◽  
Long Time ◽  
Long Time Evolution
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