Reservoir Engineering for Classical Nonlinear Fields
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910402930016256 |
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| author | Tissot, Benedikt Ribeiro, Hugo Marquardt, Florian |
| author_facet | Tissot, Benedikt Ribeiro, Hugo Marquardt, Florian |
| contents | Reservoir engineering has become a prominent tool to control quantum systems. Recently, there have been first experiments applying it to many-body systems, especially with a view to engineer particle-conserving dissipation for quantum simulations using bosons. In this work, we explore the dissipative dynamics of these systems in the classical limit. We derive a general equation of motion capturing the effective nonlinear dissipation introduced by the bath and apply it to the special case of a Bose-Hubbard model, where it leads to an unconventional type of dissipative nonlinear Schrödinger equation. Building on that, we study the dynamics of one and two solitons in such a dissipative classical field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14854 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reservoir Engineering for Classical Nonlinear Fields Tissot, Benedikt Ribeiro, Hugo Marquardt, Florian Quantum Physics Optics Reservoir engineering has become a prominent tool to control quantum systems. Recently, there have been first experiments applying it to many-body systems, especially with a view to engineer particle-conserving dissipation for quantum simulations using bosons. In this work, we explore the dissipative dynamics of these systems in the classical limit. We derive a general equation of motion capturing the effective nonlinear dissipation introduced by the bath and apply it to the special case of a Bose-Hubbard model, where it leads to an unconventional type of dissipative nonlinear Schrödinger equation. Building on that, we study the dynamics of one and two solitons in such a dissipative classical field theory. |
| title | Reservoir Engineering for Classical Nonlinear Fields |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2310.14854 |