scholarly journals Exact matrix product states for quantum Hall wave functions

2012 ◽  
Vol 86 (24) ◽  
Author(s):  
Michael P. Zaletel ◽  
Roger S. K. Mong
Keyword(s):  
Quantum Hall ◽  
Wave Functions ◽  
Matrix Product ◽  
Matrix Product States ◽  
Exact Matrix

scholarly journals Finite and infinite matrix product states for Gutzwiller projected mean-field wave functions

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Gabriel Petrica ◽  
Bo-Xiao Zheng ◽  
Garnet Kin-Lic Chan ◽  
Bryan K. Clark
Keyword(s):  
Mean Field ◽  
Wave Functions ◽  
Infinite Matrix ◽  
Matrix Product ◽  
Matrix Product States ◽  
Field Wave

scholarly journals Minimal Matrix Product States and Generalizations of Mean-Field and Geminal Wave Functions

2020 ◽  
Vol 16 (8) ◽  
pp. 5057-5066
Author(s):  
Henrik R. Larsson ◽  
Carlos A. Jiménez-Hoyos ◽  
Garnet Kin-Lic Chan
Keyword(s):  
Mean Field ◽  
Wave Functions ◽  
Matrix Product ◽  
Matrix Product States

scholarly journals Matrix product states for trial quantum Hall states

2013 ◽  
Vol 87 (16) ◽  
Author(s):  
B. Estienne ◽  
Z. Papić ◽  
N. Regnault ◽  
B. A. Bernevig
Keyword(s):  
Quantum Hall ◽  
Matrix Product ◽  
Matrix Product States ◽  
Quantum Hall States ◽  
Hall 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 Controllable quantum point junction on the surface of an antiferromagnetic topological insulator

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Nicodemos Varnava ◽  
Justin H. Wilson ◽  
J. H. Pixley ◽  
David Vanderbilt
Keyword(s):  
Topological Insulator ◽  
Information Science ◽  
Domain Walls ◽  
Quantum Hall ◽  
Edge State ◽  
Wave Functions ◽  
Quantum Hall Systems ◽  
Electron Quantum ◽  
Quantum Point ◽  
Higher Temperature

AbstractEngineering and manipulation of unidirectional channels has been achieved in quantum Hall systems, leading to the construction of electron interferometers and proposals for low-power electronics and quantum information science applications. However, to fully control the mixing and interference of edge-state wave functions, one needs stable and tunable junctions. Encouraged by recent material candidates, here we propose to achieve this using an antiferromagnetic topological insulator that supports two distinct types of gapless unidirectional channels, one from antiferromagnetic domain walls and the other from single-height steps. Their distinct geometric nature allows them to intersect robustly to form quantum point junctions, which then enables their control by magnetic and electrostatic local probes. We show how the existence of stable and tunable junctions, the intrinsic magnetism and the potential for higher-temperature performance make antiferromagnetic topological insulators a promising platform for electron quantum optics and microelectronic applications.

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.

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