Quantum Boltzmann equation for fermions: An attempt to calculate the NMR relaxation and decoherence times using quantum field theory techniques

Manshouri, Hassan; Hoseinpour, Ahmad; Zarei, Moslem

doi:10.1103/physrevd.103.096020

Cited by 2 publications

(3 citation statements)

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“…Now, following the approach of Refs. [69][70][71][72][73][74][75][76], and using ( 3) and ( 6), the effective interaction Hamiltonian H 0 int (t) in Fourier space can be rewritten as follows…”

Section: Effective Interaction Hamiltonian and The Density Matrix Of ...mentioning

confidence: 99%

“…The density matrix ρ i j (k) of a system of neutral atoms can be parameterized using Bloch vector [75,82]. Therefore, we can write…”

Section: Effective Interaction Hamiltonian and The Density Matrix Of ...mentioning

confidence: 99%

“…[71][72][73][74] and refer-ences therein). Recently, QBE has been used to calculate the nuclear magnetic resonance (NMR) relaxation and decoherence times associated with fermions under the effect of a constant and an oscillating magnetic field [75]. Additionally, the non-Markovian QBE was recently applied to investigate the damping of gravitational waves propagating in a medium consisting of decoupled ultra-relativistic neutrinos [76].…”

Section: Introductionmentioning

confidence: 99%

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Axion-like dark matter detection using Stern–Gerlach interferometer

et al. 2023

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Quantum sensors based on the superposition of neutral atoms are promising for sensing the nature of dark matter (DM). In this study, we utilize the Stern–Gerlach (SG) interferometer configuration to seek a novel method for the detection of axion-like particles (ALPs). Using an SG interferometer, we create a spatial quantum superposition of neutral atoms such as $$^{3}$$ 3 He and $$^{87}$$ 87 Rb. It is shown that the interaction of ALPs with this superposition induces a relative phase between superposed quantum components. We use the quantum Boltzmann equation (QBE) to introduce a first-principles analysis that describes the temporal evolution of the sensing system. The QBE approach employs quantum field theory (QFT) to highlight the role of the quantum nature of the interactions with the quantum systems. The resulting exclusion area demonstrates that our scheme allows for the exclusion of a range of ALP mass in the range $$10^{-10}\le m_{a}\le 10^{2}\,\textrm{eV}$$ 10 - 10 ≤ m a ≤ 10 2 eV and ALP-atom coupling constant in the range $$10^{-13}\le g_{ae}\le 10^{0}$$ 10 - 13 ≤ g ae ≤ 10 0 .

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