Spin systems on hierarchical lattices. Introduction and thermodynamic limit

1982 ◽  
Vol 26 (9) ◽  
pp. 5022-5032 ◽  
Author(s):  
Robert B. Griffiths ◽  
Miron Kaufman
Keyword(s):  
Thermodynamic Limit ◽  
Spin Systems ◽  
Hierarchical Lattices

Spin systems on hierarchical lattices. II. Some examples of soluble models

1984 ◽  
Vol 30 (1) ◽  
pp. 244-249 ◽  
Author(s):  
Miron Kaufman ◽  
Robert B. Griffiths
Keyword(s):  
Spin Systems ◽  
Hierarchical Lattices

scholarly journals Exact Solution of a One-dimensional Spin System

1970 ◽  
Vol 23 (5) ◽  
pp. 927 ◽  
Author(s):  
RW Gibberd
Keyword(s):  
Phase Transition ◽  
Exact Solution ◽  
Free Energy ◽  
Partition Function ◽  
Thermodynamic Limit ◽  
Spin System ◽  
Spin Systems ◽  
One Dimensional ◽  
Gibb’S Free Energy ◽  
Theory Of Superconductivity

The partition function and the Gibb's free energy are calculated exactly in the thermodynamic limit, using techniques which are well known in the theory of superconductivity. This calculation illustrates explicitly the similarity between the phase transition in superconductivity and the molecular field transitions in spin systems.

scholarly journals A QUANTUM MANY-BODY INSTABILITY IN THE THERMODYNAMIC LIMIT

2006 ◽  
Vol 20 (17) ◽  
pp. 1059-1066 ◽  
Author(s):  
MARCO FRASCA
Keyword(s):  
Large Class ◽  
Thermodynamic Limit ◽  
Cavity Qed ◽  
Quantum Systems ◽  
Spin Systems ◽  
Many Body ◽  
Intrinsic Decoherence ◽  
Unitary Evolution ◽  
Matter Interaction

Intrinsic decoherence in the thermodynamic limit is shown for a large class of many-body quantum systems in the unitary evolution in NMR and cavity QED. The effect largely depends on the inability of the system to recover the phases. Gaussian decaying in time of the fidelity is proved for spin systems and radiation-matter interaction.

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.

Graphical displays of the motion of spin systems

1996 ◽  
Vol 89 (5) ◽  
pp. 1397-1408 ◽  
Author(s):  
LAWRENCE LOHR
Keyword(s):  
Spin Systems ◽  
Graphical Displays

Dipole magnetic ordering in nuclear spin-spin systems

1975 ◽  
Vol 116 (7) ◽  
pp. 485 ◽  
Author(s):  
V.G. Pokazan'ev ◽  
G.V. Skrotskii ◽  
L.I. Yakub
Keyword(s):  
Nuclear Spin ◽  
Magnetic Ordering ◽  
Spin Systems
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