Reduced Basis Method for Driven-Dissipative Quantum Systems

TL;DR

This paper extends reduced basis methods to driven-dissipative quantum systems, enabling efficient computation of observables across parameter spaces and aiding phase boundary detection.

Contribution

It generalizes reduced basis techniques to driven-dissipative Markovian systems for the first time, facilitating efficient analysis of complex quantum phase diagrams.

Findings

Efficient computation of observables in transient and steady states.

Unbiased exploration of parameter dependencies indicating phase boundaries.

Generalization of reduced basis methods to driven-dissipative quantum systems.

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.