Reduced Basis Method for Driven-Dissipative Quantum Systems
arXiv:2505.05460 · doi:10.1103/7429-w2mx
Abstract
Reduced basis methods provide an efficient way of mapping out phase diagrams of strongly correlated many-body quantum systems. The method relies on using the exact solutions at select parameter values to construct a low-dimensional basis, from which observables can be efficiently and reliably computed throughout the parameter space. Here we show that this method can be generalized to driven-dissipative Markovian systems allowing efficient calculations of observables in the transient and steady states. A subsequent distillation of the reduced basis vectors according to their explained variances allows for an unbiased exploration of the most pronounced parameter dependencies indicative of phase boundaries in the thermodynamic limit.
References in corpus (10)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Learning phase transitions by confusion
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
- Steady-state Mechanical Squeezing in an Optomechanical System via Duffing Nonlinearity
- Signatures of a dissipative phase transition in photon correlation measurements
- Observation of the photon-blockade breakdown phase transition
- Limit cycle phase in driven-dissipative spin systems
- Steady-state phases of dissipative spin-1/2 XYZ model with frustrated interaction