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arXiv · 2310.14854

Reservoir Engineering for Classical Nonlinear Fields

Benedikt Tissot·Hugo Ribeiro·Florian Marquardt
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Abstract

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 Schr\"odinger equation. Building on that, we study the dynamics of one and two solitons in such a dissipative classical field theory.

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Benedikt Tissot, Hugo Ribeiro, Florian Marquardt. 2023-10-23. Reservoir Engineering for Classical Nonlinear Fields. https://doi.org/10.1103/physrevresearch.6.023015

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