Coexistence of diffusive and ballistic transport in integrable quantum lattice models

2021 ◽  
Vol 104 (11) ◽  
Author(s):  
P. Prelovšek ◽  
M. Mierzejewski ◽  
J. Herbrych
Keyword(s):  
Ballistic Transport ◽  
Lattice Models ◽  
Quantum Lattice ◽  
Integrable Quantum

CONSTRUCTION OF INTEGRABLE QUANTUM LATTICE MODELS THROUGH SKLYANIN-LIKE ALGEBRAS

1992 ◽  
Vol 07 (01) ◽  
pp. 61-69 ◽  
Author(s):  
A. KUNDU ◽  
B. BASU MALLICK
Keyword(s):  
Systematic Approach ◽  
Group Structure ◽  
Lattice Models ◽  
Toda Chain ◽  
Quantum Lattice ◽  
Integrable Quantum ◽  
Integrable Lattice ◽  
Special Mention ◽  
Sklyanin Algebra ◽  
Integrable Lattice Models

A systematic approach for generation of integrable quantum lattice models exploiting the underlying Uq(2) quantum group structure as well as its multiparameter generalization is presented. We find an extension of trigonometric Sklyanin algebra and also its deformation through "symmetry breaking transformation," which after consistent bosonization (or q-bosonization) construct a series of integrable lattice models. A novel quantum solvable derivative NLS, a relativistic Toda chain and a lattice model involving q-oscillators warrant special mention. As an added advantage, along with the integrable models the corresponding quantum R-matrices are also specified.

scholarly journals Numerical Linked-Cluster Approach to Quantum Lattice Models

2006 ◽  
Vol 97 (18) ◽  
Author(s):  
Marcos Rigol ◽  
Tyler Bryant ◽  
Rajiv R. P. Singh
Keyword(s):  
Lattice Models ◽  
Cluster Approach ◽  
Quantum Lattice

scholarly journals Series-expansion thermal tensor network approach for quantum lattice models

2017 ◽  
Vol 95 (16) ◽  
Author(s):  
Bin-Bin Chen ◽  
Yun-Jing Liu ◽  
Ziyu Chen ◽  
Wei Li
Keyword(s):  
Series Expansion ◽  
Lattice Models ◽  
Network Approach ◽  
Quantum Lattice ◽  
Tensor Network

scholarly journals Slow dynamics in translation-invariant quantum lattice models

2018 ◽  
Vol 97 (10) ◽  
Author(s):  
Alexios A. Michailidis ◽  
Marko Žnidarič ◽  
Mariya Medvedyeva ◽  
Dmitry A. Abanin ◽  
Tomaž Prosen ◽  
...  
Keyword(s):  
Lattice Models ◽  
Slow Dynamics ◽  
Quantum Lattice ◽  
Translation Invariant ◽  
Invariant Quantum
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