Many Body Systems of Coupled Dissipative Jaynes-Cummings Cavities
Abstract
Open many body systems are difficult to solve because they obey non-equilibrium laws of physics. However, quantum many body systems are inherently coupled to the environment, necessitating a full understanding of non-equilibrium physics for real world applications. The Jaynes-Cummings model, consisting of a cavity with an atom interacting with a light field, provides a suitable platform to study many body non-equilibrium physics. In the single cavity, low photon states are achieved in the dispersive regime due to photon blockade, where the absorption of one photon blocks the absorption of a second. When open to the environment, the breakdown of this photon blockade sets in through dispersive bistability, where the cavity can reach two distinct stable solutions. We implement mean field theory to derive semiclassical equations which locate parameter regimes of bistability. Numerical Solutions of the Lindblad master equation do not predict bistability directly, but unfolding the master equation into quantum trajectory calculation demonstrates switching between the semiclassical solutions. We then consider open systems of weakly interacting Jaynes-Cummings cavities. The Stability of the single cavity facilitates the emergence of symmetry-breaking states in multiple cavity systems, where the cavities achieve different steady states despite their coupling. Analysis of the two cavity system using quantum trajectories shows qualitative differences between symmetry-breaking and symmetry-preserving states. In the three cavity case, the symmetry-breaking bistability region extends past the critical point of typical symmetry preserving stability. The results for multiple Jaynes-Cummings cavities build towards a better understanding of open many body quantum physics.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 20, 2019
- Accession Number
- AD1073960
Entities
People
- Dean N. Rye
Organizations
- United States Naval Academy