scholarly journals Phase structure of the ( 1+1 )-dimensional massive Thirring model from matrix product states

2019 ◽  
Vol 100 (9) ◽  
Author(s):  
Mari Carmen Bañuls ◽  
Krzysztof Cichy ◽  
Ying-Jer Kao ◽  
C.-J. David Lin ◽  
Yu-Ping Lin ◽  
...  
Keyword(s):  
Phase Structure ◽  
Thirring Model ◽  
Matrix Product ◽  
Matrix Product States ◽  
Massive Thirring Model

scholarly journals Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method

2020 ◽  
Author(s):  
David Lin ◽  
Mari Carmen Banuls ◽  
Krzysztof Cichy ◽  
Hao-Ti Hung ◽  
Ying-Jer Kao ◽  
...  
Keyword(s):  
Real Time ◽  
Phase Structure ◽  
Thirring Model ◽  
Time Dynamics ◽  
Massive Thirring Model ◽  
Tensor Network ◽  
Network Method

scholarly journals Investigation of the 1+1 dimensional Thirring model using the method of matrix product states

2019 ◽  
Author(s):  
C.J. David Lin ◽  
Mari-Carmen Banuls ◽  
Krzysztof Cichy ◽  
Ying-Jer Kao ◽  
Yu-Ping Lin ◽  
...  
Keyword(s):  
Thirring Model ◽  
Matrix Product ◽  
Matrix Product States

scholarly journals Optimal sampling of dynamical large deviations via matrix product states

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Luke Causer ◽  
Mari Carmen Bañuls ◽  
Juan P. Garrahan
Keyword(s):  
Large Deviations ◽  
Matrix Product ◽  
Optimal Sampling ◽  
Matrix Product States

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.

Method for Solving the Massive Thirring Model

1979 ◽  
Vol 42 (3) ◽  
pp. 135-138 ◽  
Author(s):  
H. Bergknoff ◽  
H. B. Thacker
Keyword(s):  
Thirring Model ◽  
Massive Thirring Model
Sign in / Sign up

Export Citation Format

Share Document