Realization of controllable open system with NMR

Abstract

An open quantum system is now attracting much attention because a quantum device such as quantum computers and quantum sensors is an emerging technology. Here, we present a model of the open system that shows either time-homogeneous Markovian relaxations or non-Markovian relaxations depending on its parameters that we can control. This model is fully described with the master equation that is analytically solvable. More importantly, this model can be easily realized with molecules in isotropic liquids and measured with NMR techniques. V 1 1 , J J J J t t J J J t J t t J J J t J

Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes

“…which by construction satisfies the normalization property (20), i.e., g j 2 = 2 j . Since the relative magnitude of these couplings depends only on a single free parameter θ 1 , we can more conveniently characterize Eq.…”

“…From one perspective, a wide variety of experimental platforms, including atom-cavity and trapped-ion systems [13], solid-state devices [14], and photonic band-gap materials [15], have been shown to feature regimes where non-Markovian and strong-coupling effects play an significant role in the description of the dynamics. At the same time, the increasing ability to coherently control the non-Markovian dynamics of quantum systems through, e.g., the use of reservoir engineering techniques [16][17][18][19][20][21], has provided new avenues to explore how certain types of environmental noise might be useful for the implementation of quantum technologies; notably, quantum information processing and quantum metrology have been recognized to possibly benefit from non-Markovian noise sources [22][23][24][25].…”

Nuclear Magnetic Resonance Model of an Entangled Sensor under Noise

“…The black dashed curves in the left panels are exponential fittings to the real parts of the FID signals. The green (blue) curves in the right panels are calculated real (imaginary) part of the FID signals [19]. The blue curves overlap the experimental data and thus hardly visible.…”

“…4(b)). In the full-decoupling case, there are only weak direct effects of magnetic impurities on CC and CSs [19] and thus we can approximate that "magnetic field sensing" was performed under noiseless environment in the short time scale of less than 50 ms in the experiment. This approximation was confirmed with the fact that the signal did not decay almost at all in this time scale, see Fig.…”

“…We can successfully observe the exponential decays in the full decoupling cases (left panels), while the non-exponential decay dynamics are observed in the selective decoupling cases (right panels). We also calculated the decay dynamics from the data summarized in Table II as in our preceding work [19] which are plotted as green (blue) solid curves on the right panels in Fig. 8.…”