scholarly journals Emergent Statistical Mechanics from Properties of Disordered Random Matrix Product States

PRX Quantum ◽  
2021 ◽  
Vol 2 (4) ◽  
Author(s):  
Jonas Haferkamp ◽  
Christian Bertoni ◽  
Ingo Roth ◽  
Jens Eisert
Keyword(s):  
Statistical Mechanics ◽  
Random Matrix ◽  
Matrix Product ◽  
Matrix Product States

scholarly journals Typicality in random matrix product states

2010 ◽  
Vol 81 (3) ◽  
Author(s):  
Silvano Garnerone ◽  
Thiago R. de Oliveira ◽  
Paolo Zanardi
Keyword(s):  
Random Matrix ◽  
Matrix Product ◽  
Matrix Product States

scholarly journals Statistical properties of random matrix product states

2010 ◽  
Vol 82 (5) ◽  
Author(s):  
Silvano Garnerone ◽  
Thiago R. de Oliveira ◽  
Stephan Haas ◽  
Paolo Zanardi
Keyword(s):  
Random Matrix ◽  
Statistical Properties ◽  
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.

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
Sign in / Sign up

Export Citation Format

Share Document