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Nonmonotonic dynamics in a frustrated Ising model with time-dependent transverse field
1Institute for Solid State Physics, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba 277-8581, Japan. shu-t@alice.math.kindai.ac.jp
This study explores how thermal and quantum fluctuations affect ordering in frustrated systems. We found that spin correlation functions exhibit nonmonotonic behavior with changing temperature and transverse fields, revealing insights into system dynamics.
Area of Science:
- Condensed Matter Physics
- Quantum Magnetism
Background:
- Frustrated systems exhibit complex behaviors due to competing interactions.
- Thermal and quantum fluctuations significantly influence the ordering of magnetic systems.
Purpose of the Study:
- To investigate the dependence of ordering on thermal and quantum fluctuations in frustrated systems.
- To analyze the behavior of the order parameter's correlation function under varying conditions.
Main Methods:
- Investigated the equilibrium spin correlation function in a frustrated lattice.
- Analyzed the ground state correlation function as a function of transverse field (quantum fluctuation).
- Studied the real-time dynamics of spin-correlation function under time-dependent fields.
Main Results:
- Observed nonmonotonic temperature dependence (reentrant behavior) in the equilibrium spin correlation function.
- Found nonmonotonic dependence of the ground state correlation function on the transverse field strength.
- Demonstrated gradual changes in effective temperature after sudden temperature decreases.
- Noted that quantum systems show minimal correlation function change with rapid field sweeps but nonmonotonic changes with slow sweeps.
Conclusions:
- The degree of ordering in frustrated systems is intricately linked to both thermal and quantum fluctuations.
- Nonmonotonic dependencies are a key characteristic of spin correlation functions in these systems, both statically and dynamically.
- System dynamics, particularly under changing fields or temperatures, reveal gradual equilibration processes.
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