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Quantum criticality and dynamical instability in the kicked-top model.
Victor Manuel Bastidas1, Pedro Pérez-Fernández2, Malte Vogl1
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
Physical Review Letters
|April 29, 2014
Summary
We found precursors to critical behavior in the kicked top system
Area of Science:
- Quantum dynamics
- Statistical mechanics
- Nonlinear systems
Background:
- The kicked top model exhibits complex dynamics.
- Understanding critical phenomena in driven quantum systems is crucial.
Purpose of the Study:
- Investigate precursors of critical behavior in the kicked top's quasienergy spectrum.
- Analyze dynamical instability effects on quantum phase transitions.
Main Methods:
- Employ a semiclassical approach for analytical calculations.
- Examine the quasienergy spectrum and density of states.
Main Results:
- Derived a logarithmic divergence in the density of states.
- This divergence is analogous to quantum phase transitions in undriven systems.
- Identified cusp behavior in magnetization near critical quasienergy.
Conclusions:
- The study reveals precursors to critical behavior in driven quantum systems.
- Proposes a method to experimentally observe these critical phenomena.
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