Reflection positivity and infrared bounds for quantum spin systems
Jakob E. Bj\"ornberg, Daniel Ueltschi
TL;DR
This paper reviews how reflection positivity and infrared bounds can be used to demonstrate phase transitions in quantum spin systems with continuous symmetries.
Contribution
It provides a comprehensive overview of applying reflection positivity and infrared bounds specifically to quantum spin systems, highlighting their effectiveness.
Findings
Reflection positivity helps establish phase transition existence.
Infrared bounds are effective in quantum spin systems.
The review clarifies the method's application in quantum contexts.
Abstract
The method of reflection positivity and infrared bounds allows to prove the occurrence of phase transitions in systems with continuous symmetries. We review the method in the context of quantum spin systems.
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Taxonomy
TopicsQuantum many-body systems · Quantum chaos and dynamical systems · Advanced Chemical Physics Studies