Reduced Basis Method for Driven-Dissipative Quantum Systems

• URL: http://arxiv.org/abs/2505.05460v1
• Date: Thu, 08 May 2025 17:53:23 GMT
• Title: Reduced Basis Method for Driven-Dissipative Quantum Systems
• Authors: Hans Christiansen, Virgil V. Baran, Jens Paaske,
• Abstract summary: We show that a method for mapping out phase diagrams of strongly correlated quantum systems can be generalized to driven-dissipative Markovian systems.<n>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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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