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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.05460 |
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| _version_ | 1866910184065990656 |
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| author | Christiansen, Hans Baran, Virgil V. Paaske, Jens |
| author_facet | Christiansen, Hans Baran, Virgil V. Paaske, Jens |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05460 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reduced Basis Method for Driven-Dissipative Quantum Systems Christiansen, Hans Baran, Virgil V. Paaske, Jens Strongly Correlated Electrons Quantum Physics 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. |
| title | Reduced Basis Method for Driven-Dissipative Quantum Systems |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2505.05460 |