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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Linear and logarithmic entanglement production in an interacting chaotic system
Sanku Paul1, Arnd Bäcker1,2
1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.
Physical Review. E
|December 17, 2020
Summary
Entanglement entropy in coupled kicked rotors shows linear then logarithmic growth. This is linked to energy growth regimes and coherence decay, crucial for understanding quantum system dynamics.
Area of Science:
- Quantum mechanics
- Statistical physics
- Complex systems
Background:
- Investigating quantum entanglement growth is key to understanding the dynamics of complex quantum systems.
- Coupled kicked rotor models provide a platform for studying quantum chaos and localization phenomena.
Purpose of the Study:
- To analyze the entanglement entropy growth in a pair of coupled kicked rotors.
- To correlate entanglement growth with energy growth and coherence decay dynamics.
- To understand the role of coupling strength in these quantum phenomena.
Main Methods:
- Analytical calculations of entanglement entropy evolution.
- Numerical simulations of the coupled kicked rotor system.
- Analysis of energy growth rates and coherence decay patterns.
Main Results:
- Entanglement entropy exhibits initial linear growth followed by logarithmic growth for weak coupling.
- Different entanglement growth regimes correspond to distinct energy growth rates (diffusive and localized).
- Coherence decay follows an exponential decay initially, transitioning to a power law.
Conclusions:
- The interplay between entanglement, energy diffusion, and coherence decay is elucidated.
- The coupled rotor acts as an environment, leading to decoherence and diffusive energy growth.
- Coupling strength influences the duration of dynamical localization and coherence decay rates.
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