Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
We construct a class of variational methods for the study of open quantum systems based on Gaussian ansatzes for the quantum trajectory formalism. Gaussianity in the conjugate position and momentum quadratures is distinguished from Gaussianity in density and phase. We apply these methods to a driven...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-08-01
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| Series: | Applied Sciences |
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| Online Access: | http://www.mdpi.com/2076-3417/8/9/1427 |
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| author | Wouter Verstraelen Michiel Wouters |
| author_facet | Wouter Verstraelen Michiel Wouters |
| author_sort | Wouter Verstraelen |
| collection | DOAJ |
| description | We construct a class of variational methods for the study of open quantum systems based on Gaussian ansatzes for the quantum trajectory formalism. Gaussianity in the conjugate position and momentum quadratures is distinguished from Gaussianity in density and phase. We apply these methods to a driven-dissipative Kerr cavity where we study dephasing and the stationary states throughout the bistability regime. Computational cost proves to be similar to the Truncated Wigner Approximation (TWA) method, with at most quadratic scaling in system size. Meanwhile, strong correspondence with the numerically-exact trajectory description is maintained so that these methods contain more information on the ensemble constitution than TWA and can be more robust. |
| first_indexed | 2024-12-13T06:00:15Z |
| format | Article |
| id | doaj.art-964ff114ac1d41578952dd1e2c99b5ed |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-13T06:00:15Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-964ff114ac1d41578952dd1e2c99b5ed2022-12-21T23:57:22ZengMDPI AGApplied Sciences2076-34172018-08-0189142710.3390/app8091427app8091427Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical SystemsWouter Verstraelen0Michiel Wouters1Theory of Quantum Systems and Complex Systems, Universiteit Antwerpen, Universiteitsplein 1, B-2610 Antwerpen, BelgiumTheory of Quantum Systems and Complex Systems, Universiteit Antwerpen, Universiteitsplein 1, B-2610 Antwerpen, BelgiumWe construct a class of variational methods for the study of open quantum systems based on Gaussian ansatzes for the quantum trajectory formalism. Gaussianity in the conjugate position and momentum quadratures is distinguished from Gaussianity in density and phase. We apply these methods to a driven-dissipative Kerr cavity where we study dephasing and the stationary states throughout the bistability regime. Computational cost proves to be similar to the Truncated Wigner Approximation (TWA) method, with at most quadratic scaling in system size. Meanwhile, strong correspondence with the numerically-exact trajectory description is maintained so that these methods contain more information on the ensemble constitution than TWA and can be more robust.http://www.mdpi.com/2076-3417/8/9/1427cavity QEDpolariton condensatesopen quantum systemsquantum trajectoriesnumerical simulationHartree–Fock–BogoliubovtruncatedWigner |
| spellingShingle | Wouter Verstraelen Michiel Wouters Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems Applied Sciences cavity QED polariton condensates open quantum systems quantum trajectories numerical simulation Hartree–Fock–Bogoliubov truncatedWigner |
| title | Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems |
| title_full | Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems |
| title_fullStr | Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems |
| title_full_unstemmed | Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems |
| title_short | Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems |
| title_sort | gaussian quantum trajectories for the variational simulation of open quantum optical systems |
| topic | cavity QED polariton condensates open quantum systems quantum trajectories numerical simulation Hartree–Fock–Bogoliubov truncatedWigner |
| url | http://www.mdpi.com/2076-3417/8/9/1427 |
| work_keys_str_mv | AT wouterverstraelen gaussianquantumtrajectoriesforthevariationalsimulationofopenquantumopticalsystems AT michielwouters gaussianquantumtrajectoriesforthevariationalsimulationofopenquantumopticalsystems |