Correlation Functions From Tensor Network Influence Functionals: The Case of the Spin-Boson Model
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912380285353984 |
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| author | Nguyen, Haimi Ng, Nathan Lindoy, Lachlan P. Park, Gunhee Millis, Andrew J. Chan, Garnet Kin-Lic Reichman, David R. |
| author_facet | Nguyen, Haimi Ng, Nathan Lindoy, Lachlan P. Park, Gunhee Millis, Andrew J. Chan, Garnet Kin-Lic Reichman, David R. |
| contents | We investigate the application of matrix product state (MPS) representations of the influence functionals (IF) for the calculation of real-time equilibrium correlation functions in open quantum systems. Focusing specifically on the unbiased spin-boson model, we explore the use of IF-MPSs for complex time propagation, as well as IF-MPSs for constructing correlation functions in the steady state. We examine three different IF approaches: one based on the Kadanoff-Baym contour targeting correlation functions at all times, one based on a complex contour targeting the correlation function at a single time, and a steady state formulation which avoids imaginary or complex times, while providing access to correlation functions at all times. We show that within the IF language, the steady state formulation provides a powerful approach to evaluate equilibrium correlation functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15737 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Correlation Functions From Tensor Network Influence Functionals: The Case of the Spin-Boson Model Nguyen, Haimi Ng, Nathan Lindoy, Lachlan P. Park, Gunhee Millis, Andrew J. Chan, Garnet Kin-Lic Reichman, David R. Chemical Physics Strongly Correlated Electrons We investigate the application of matrix product state (MPS) representations of the influence functionals (IF) for the calculation of real-time equilibrium correlation functions in open quantum systems. Focusing specifically on the unbiased spin-boson model, we explore the use of IF-MPSs for complex time propagation, as well as IF-MPSs for constructing correlation functions in the steady state. We examine three different IF approaches: one based on the Kadanoff-Baym contour targeting correlation functions at all times, one based on a complex contour targeting the correlation function at a single time, and a steady state formulation which avoids imaginary or complex times, while providing access to correlation functions at all times. We show that within the IF language, the steady state formulation provides a powerful approach to evaluate equilibrium correlation functions. |
| title | Correlation Functions From Tensor Network Influence Functionals: The Case of the Spin-Boson Model |
| topic | Chemical Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.15737 |