|Title||Thermodynamic limits for optomechanical systems with conservative potentials|
|Publication Type||Journal Article|
|Year of Publication||2017|
|Authors||Ragole, S, Xu, H, Lawall, J, Taylor, JM|
|Journal||Physical Review B|
The mechanical force from light – radiation pressure – provides an intrinsic nonlinear interaction. Consequently, optomechanical systems near their steady state, such as the canonical optical spring, can display non-analytic behavior as a function of external parameters. This non-analyticity, a key feature of thermodynamic phase transitions, suggests that there could be an effective thermodynamic description of optomechanical systems. Here we explicitly define the thermodynamic limit for optomechanical systems and derive a set of sufficient constraints on the system parameters as the mechanical system grows large. As an example, we show how these constraints can be satisfied in a system with Z2 symmetry and derive a free energy, allowing us to characterize this as an equilibrium phase transition.