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

scholarly journals Thermalization and Canonical Typicality in Translation-Invariant Quantum Lattice Systems

2015 ◽  
Vol 340 (2) ◽  
pp. 499-561 ◽  
Author(s):  
Markus P. Müller ◽  
Emily Adlam ◽  
Lluís Masanes ◽  
Nathan Wiebe
Keyword(s):  
Lattice Systems ◽  
Quantum Lattice ◽  
Translation Invariant ◽  
Quantum Lattice Systems ◽  
Invariant Quantum

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 Rock-Paper-Scissors Lattice Model

2020 ◽  
Vol 16 (4) ◽  
pp. 400-402
Author(s):  
Nasir Ganikhodjaev ◽  
Pah Chin Hee
Keyword(s):  
Lattice Model ◽  
Statistical Physics ◽  
Lattice Models ◽  
Evolutionary Games ◽  
Payoff Matrix ◽  
Ergodic Transformation ◽  
Translation Invariant ◽  
Periodic Gibbs Measure ◽  
Quadratic Stochastic Operators ◽  
Player Game

In this work, we introduce Rock-Paper-Scissors lattice model on Cayley tree of second order generated by Rock-Paper-Scissors game. In this strategic 2-player game, the rule is simple: rock beats scissors, scissors beat paper, and paper beats rock. A payoff matrix  of this game is a skew-symmetric. It is known that quadratic stochastic operator generated by this matrix is non-ergodic transformation. The Hamiltonian of Rock-Paper-Scissors Lattice Model is defined by this skew-symmetric payoff matrix . In this paper, we discuss a connection between three fields of research: evolutionary games, quadratic stochastic operators, and lattice models of statistical physics. We prove that a phase diagram of the Rock-Paper-Scissors model consists of translation-invariant and periodic Gibbs measure with period 3.

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