scholarly journals The classical limit of quantum spin systems

1973 ◽  
Vol 31 (4) ◽  
pp. 327-340 ◽  
Author(s):  
Elliott H. Lieb
Keyword(s):  
Classical Limit ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems

scholarly journals Quantum spin systems versus Schroedinger operators: A case study in spontaneous symmetry breaking

2020 ◽  
Vol 8 (2) ◽  
Author(s):  
Christiaan J. F. van de Ven ◽  
Gerrit C. Groenenboom ◽  
Robin Reuvers ◽  
Klaas Landsman
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Thermodynamic Limit ◽  
Classical Limit ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Schroedinger Operators ◽  
Double Well Potential

Spontaneous symmetry breaking (ssb) is mathematically tied to some limit, but must physically occur, approximately, before the limit. Approximate ssb has been independently understood for Schrödinger operators with double well potential in the classical limit (Jona-Lasinio et al, 1981; Simon, 1985) and for quantum spin systems in the thermodynamic limit (Anderson, 1952; Tasaki, 2019). We relate these to each other in the context of the Curie–Weiss model, establishing a remarkable relationship between this model (for finite NN) and a discretized Schrödinger operator with double well potential.

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
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