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Scaling and universality at ramped quench dynamical quantum phase transitions
Sara Zamani1, J Naji2, R Jafari1,3,4
1Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran.
Summary
This study explores dynamical quantum phase transitions (DQPTs) in a driven XY model. Researchers found that DQPTs can be controlled by adjusting the driven frequency, revealing distinct scaling regions.
Area of Science:
- Condensed Matter Physics
- Quantum Dynamics
- Statistical Mechanics
Background:
- Investigating nonequilibrium dynamics is crucial for understanding complex quantum systems.
- Dynamical quantum phase transitions (DQPTs) offer a framework to study non-equilibrium phenomena.
- The extended XY model provides a platform for exploring quantum phase transitions under external driving.
Purpose of the Study:
- To investigate the nonequilibrium dynamics of a periodically driven extended XY model with a time-dependent magnetic field.
- To explore fundamental concepts like scaling and universality in the context of ramped quench DQPTs.
- To understand how driven frequency influences the critical points and the occurrence of DQPTs.
Main Methods:
- Utilized the concept of dynamical quantum phase transitions (DQPTs) to analyze the system's behavior.
- Performed numerical simulations to study the scaling properties of critical modes.
- Analyzed the behavior of dynamical free energy as a function of time and sweep velocity.
Main Results:
- Demonstrated that critical points can be tuned by adjusting the driven frequency, offering control over DQPTs.
- Identified three distinct regions for DQPTs across a single critical point: Kibble-Zurek (KZ), pre-saturated (PS), and saturated (S).
- Observed linear scaling of dynamical free energy with time (exponent ν=1±0.01) near DQPTs, independent of sweep velocity and driven frequency.
Conclusions:
- The driven frequency is a key parameter for flexibly controlling the presence and characteristics of DQPTs.
- The identified scaling regions (KZ, PS, S) provide insights into the universal behavior of DQPTs under different ramping conditions.
- The universal linear scaling of dynamical free energy suggests robust behavior of the system's approach to DQPTs.
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