Non-Markovian steady states of a driven two-level system
- URL: http://arxiv.org/abs/2102.11140v1
- Date: Mon, 22 Feb 2021 16:10:08 GMT
- Title: Non-Markovian steady states of a driven two-level system
- Abstract summary: We show that an open quantum system in a non-Markovian environment can reach steady states that it cannot reach in a Markovian environment.
As these steady states are unique for the non-Markovian regime, they could offer a simple way of detecting non-Markovianity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show that an open quantum system in a non-Markovian environment can reach
steady states that it cannot reach in a Markovian environment. As these steady
states are unique for the non-Markovian regime, they could offer a simple way
of detecting non-Markovianity, as no information about the system's transient
dynamics is necessary. In particular, we study a driven two-level system (TLS)
in a semi-infinite waveguide. Once the waveguide has been traced out, the TLS
sees an environment with a distinct memory time. The memory time enters the
equations as a time delay that can be varied to compare a Markovian to a
non-Markovian environment. We find that some non-Markovian states show exotic
behaviors such as population inversion and steady-state coherence beyond
$1/\sqrt{8}$, neither of which is possible for a driven TLS in the Markovian
regime, where the time delay is neglected. Additionally, we show how the
coherence of quantum interference is affected by time delays in a driven system
by extracting the effective Purcell-modified decay rate of a TLS in front of a
mirror.
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