Strong Markov dissipation in driven-dissipative quantum systems

• URL: http://arxiv.org/abs/2404.10195v1
• Date: Tue, 16 Apr 2024 00:29:04 GMT
• Title: Strong Markov dissipation in driven-dissipative quantum systems
• Authors: Takashi Mori,
• Abstract summary: Strong system-bath coupling often leads to non-Markov evolution. The singular-coupling limit requires high-temperature limit of the bath. In contrast to the standard singular-coupling limit, an interplay between dissipation and periodic driving results in a nontrivial steady state.
• Score: 2.7195102129095003
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Lindblad equation, which describes Markovian quantum dynamics under dissipation, is usually derived under the weak system-bath coupling assumption. Strong system-bath coupling often leads to non-Markov evolution. The singular-coupling limit is known as an exception: it yields a Lindblad equation with an arbitrary strength of dissipation. However, the singular-coupling limit requires high-temperature limit of the bath, and hence the system ends up in a trivial infinite-temperature state, which is not desirable in the context of quantum control. In this work, it is shown that we can derive a Markovian Lindblad equation for an arbitrary strength of the system-bath coupling by considering a new scaling limit that is called the singular-driving limit, which combines the singular-coupling limit and fast periodic driving. In contrast to the standard singular-coupling limit, an interplay between dissipation and periodic driving results in a nontrivial steady state.

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