研究目的
Investigating the phase diagram and dynamics of a parametrically driven-dissipative Bose-Einstein condensate in an optical cavity, focusing on the emergence of a nonequilibrium phase characterized by many-body parametric resonance.
研究成果
The study reveals a new nonequilibrium phase, the many-body parametric resonance phase (MaPaReP), characterized by dynamical switching between symmetry-broken configurations and features of nonintegrability and thermalization. This phase emerges under parametric driving and shows distinct heating characteristics compared to the normal and superradiant phases.
研究不足
The study is limited by the computational complexity of simulating many-body quantum systems and the approximations inherent in the MCTDH-X method. The impact of cavity fluctuations on cooling effects is not fully accounted for.
1：Experimental Design and Method Selection:
The study involves numerical simulations of the time-evolution of a Bose-Einstein condensate in an optical cavity under parametric driving, using the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X).
2：Sample Selection and Data Sources:
The system consists of N interacting atoms in a BEC coupled to a high-finesse optical cavity with a single mode, driven by a transverse pump laser.
3：List of Experimental Equipment and Materials:
Optical cavity, Bose-Einstein condensate, transverse pump laser, and computational tools for numerical simulations.
4：Experimental Procedures and Operational Workflow:
The pump laser's power is modulated parametrically, and the system's response is analyzed through numerical simulations to study phase transitions and dynamics.
5：Data Analysis Methods:
The analysis includes evaluating the order parameter, energy profiles, and momentum density to characterize the phases and their transitions.
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