Thermometry by correlated dephasing of impurities in a 1D Fermi gas
- URL: http://arxiv.org/abs/2307.10132v4
- Date: Mon, 12 Feb 2024 16:35:21 GMT
- Title: Thermometry by correlated dephasing of impurities in a 1D Fermi gas
- Authors: Sindre Brattegard and Mark T. Mitchison
- Abstract summary: We investigate the pure dephasing dynamics of two static impurity qubits embedded within a common Fermi gas.
We show that the impurities become correlated via retarded interactions of the Ruderman-Kittel-Kasuya-Yosida type.
These correlations can provide a metrological advantage, enhancing the sensitivity of the two-qubit thermometer beyond that of two independent impurities.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We theoretically investigate the pure dephasing dynamics of two static
impurity qubits embedded within a common environment of ultracold fermionic
atoms, which are confined to one spatial dimension. Our goal is to understand
how bath-mediated interactions between impurities affect their performance as
nonequilibrium quantum thermometers. By solving the dynamics exactly using a
functional determinant approach, we show that the impurities become correlated
via retarded interactions of the Ruderman-Kittel-Kasuya-Yosida type. Moreover,
we demonstrate that these correlations can provide a metrological advantage,
enhancing the sensitivity of the two-qubit thermometer beyond that of two
independent impurities. This enhancement is most prominent in the limit of low
temperature and weak collisional coupling between the impurities and the gas.
We show that this precision advantage can be exploited using standard Ramsey
interferometry, with no need to prepare correlated initial states nor to
individually manipulate or measure the impurities. We also quantitatively
assess the impact of ignoring these correlations when constructing a
temperature estimate, finding that acceptable precision can still be achieved
from a simplified model of independent impurities. Our results demonstrate the
rich nonequilibrium physics of impurities dephasing in a common Fermi gas, and
may help to provide better temperature estimates at ultralow temperatures.
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