scholarly journals The finite group velocity of quantum spin systems

1972 ◽  
Vol 28 (3) ◽  
pp. 251-257 ◽  
Author(s):  
Elliott H. Lieb ◽  
Derek W. Robinson
Keyword(s):  
Finite Group ◽  
Group Velocity ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

scholarly journals Properties of propagation of quantum spin systems

1976 ◽  
Vol 19 (4) ◽  
pp. 387-399 ◽  
Author(s):  
Derek W. Robinson
Keyword(s):  
Ising Model ◽  
Large Class ◽  
Group Velocity ◽  
Short Range ◽  
Space Time ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Causal Propagation ◽  
Suitable Space

AbstractUsing an estimate on the group velocity we give an independent proof of the existence of time translations for a large class of short range interactions. We demonstrate that these systems satisfy a strong form of causal propagation and that space-time algebras in suitable space-like directions are disjoint. Finally we derive criteria for dispersion of the interaction in terms of the algebraic density of the orbit of local subalgebras under the evolution or under the associated group of shifts. In this sense the Heisenberg and X-Y models are dispersive but the Ising model is not.

scholarly journals An -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems

2021 ◽  
Vol 9 ◽  
Author(s):  
Yoshiko Ogata
Keyword(s):  
Finite Group ◽  
Quantum Spin ◽  
Spin Systems ◽  
Group Symmetry ◽  
Topological Phases ◽  
Two Dimensional ◽  
Quantum Spin Systems ◽  
Symmetry Protected

Abstract We consider symmetry-protected topological phases with on-site finite group G symmetry $\beta $ for two-dimensional quantum spin systems. We show that they have $H^{3}(G,{\mathbb T})$ -valued invariant.

scholarly journals Quantum Spin Systems at Positive Temperature

2006 ◽  
Vol 269 (3) ◽  
pp. 611-657 ◽  
Author(s):  
Marek Biskup ◽  
Lincoln Chayes ◽  
Shannon Starr
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Positive Temperature ◽  
Quantum Spin Systems

High-field ESR in one-dimensional quantum spin systems

2000 ◽  
Vol 284-288 ◽  
pp. 1625-1626 ◽  
Author(s):  
Y Ajiro ◽  
T Asano ◽  
Y Inagaki ◽  
J.P Boucher ◽  
S Luther ◽  
...  
Keyword(s):  
High Field ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
High Field Esr

scholarly journals Measures of macroscopicity for quantum spin systems

2012 ◽  
Vol 14 (9) ◽  
pp. 093039 ◽  
Author(s):  
Florian Fröwis ◽  
Wolfgang Dür
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

Dissipative dynamics for quantum spin systems on a lattice

1998 ◽  
Vol 31 (8) ◽  
pp. 2045-2056 ◽  
Author(s):  
Adam W Majewski ◽  
Robert Olkiewicz ◽  
Boguslaw Zegarlinski
Keyword(s):  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Dissipative Dynamics
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