Projection Optimization Method for Open-Dissipative Quantum Fluids and its Application to a Single Vortex in a Photon Bose-Einstein Condensate
arXiv:2311.10027 · doi:10.1103/PhysRevResearch.7.033007
Abstract
Open dissipative systems of quantum fluids have been well studied numerically. In view of a complementary analytical description we extend here the variational optimization method for Bose-Einstein condensates of closed systems to open-dissipative condensates. The resulting projection optimization method is applied to a complex Gross-Pitaevski equation, which models phenomenologically a photon Bose-Einstein condensate. Together with known methods from hydrodynamics we obtain an approximate vortex solution, which depends on the respective open system parameters and has the same properties as obtained numerically in the literature.
10 pages, 5 figures
References in corpus (11)
- Quantum fluids of light
- Bose-Einstein condensation of photons in an optical microcavity
- Spontaneous rotating vortex lattices in a pumped decaying condensate
- XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
- Variational principle for steady states of dissipative quantum many-body systems
- Universality in driven open quantum matter
- Bose-Einstein Condensation of Light in a Semiconductor Quantum Well Microcavity
- OpenMP Fortran programs for solving the time-dependent dipolar Gross-Pitaevskii equation
- Photon BEC with Thermo-Optic Interaction at Dimensional Crossover
- Hartree-Fock Analogue Theory of Thermo-Optic Interaction
- Exact Diagonalisation of Photon Bose-Einstein Condensates with Thermo-Optic Interaction