Random Acceleration Noise on Stern-Gerlach Interferometry in a Harmonic Trap
- URL: http://arxiv.org/abs/2602.21288v1
- Date: Tue, 24 Feb 2026 19:00:02 GMT
- Title: Random Acceleration Noise on Stern-Gerlach Interferometry in a Harmonic Trap
- Authors: Sneha Narasimha Moorthy, Andrew Geraci, Sougato Bose, Anupam Mazumdar,
- Abstract summary: We analyze decoherence in a one-loop Stern--Gerlach-type matter-wave interferometer for a massive nanoparticles embedded with a nitrogen vacancy.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We analyze decoherence in a one-loop Stern--Gerlach--type matter-wave interferometer for a massive nanoparticle embedded with a nitrogen vacancy (NV)-centred nanodiamond evolving under an effective harmonic-oscillator dynamics in a magnetic-field gradient. We assume that the Stern-Gerlach interferometer is subjected to a random acceleration noise external to the system. This could be along the direction of the superposition at an angle which can be varied. We quantify dephasing from two noise channels: fluctuations in the external acceleration $a(t)$ magnitude and direction as specified by the tilt angle $θ_0(t)$ between the superposition axis and the acceleration. At the level of the action, we treat these two external noise as stochastic inputs, and compute the resulting stochastic arm-phase difference, and obtain the dephasing rate $Γ$ using the Wiener--Khinchin theorem. For a white noise and a coherence target $Γτ\leq 1$ and by assuming that we finish the one-loop interferometer within $τ=2π/ω_0\simeq 0.015~\mathrm{s}$, for a reasonable choice of the magnetic field gradient, $η_0=6\times 10^{3}~\mathrm{T\,m^{-1}}$ and mass of the nanodiamond, $m=10^{-15}~\mathrm{kg}$) to create a superposition size of $Δx\sim 1$nm. We find $\sqrt{\mathcal{S}_{aa}}\lesssim \mathcal{O}(10^{-11})~\mathrm{m\,s^{-2}\,Hz^{-1/2}}$ even if we take the external acceleration, $a=0~{\rm ms^{-2}}$ and $θ_0=0^\circ$ (along the dirction of the superposition), and $\sqrt{\mathcal{S}_{θθ}}\lesssim \mathcal{O}(10^{-10})~\mathrm{rad\,Hz^{-1/2}}$ for $a=g= 9.81~\mathrm{m\,s^{-2}}$ and $θ_0=0^\circ$ (superposition direction is perpendicular to the Earth's gravity). We have also found an operating regime where the acceleration noise can be minimized by either varying $θ_0$ or $a$ for a fixed set of other experimental parameters.
Related papers
- Quantum Brownian motion with non-Gaussian noises: Fluctuation-Dissipation Relation and nonlinear Langevin equation [0.0]
We consider the quantum Brownian motion (QBM) model with one oscillator as the system.<n>The influence action $S_IF$ is calculated using a perturbative expansion in $$.<n>The non-Gaussian noise kernel gives rise to non-zero three-point correlation function of the corresponding force.
arXiv Detail & Related papers (2026-02-11T02:03:26Z) - Discrete symmetries in classical and quantum oscillators [51.56484100374058]
We show the eigenfunctions $_n=zn$ of the quantum Hamiltonian in the complex Bargmann-Fock-Segal representation.<n>The superposition $=sum_n c_n_n$ arises only with incomplete knowledge of the initial data for solving the Schrdinger equation.
arXiv Detail & Related papers (2026-01-05T10:04:39Z) - Magnetic noise in macroscopic quantum spatial superposition induced by inverted harmonic oscillator potential [0.0]
We investigate a Stern-Gerlach type matter-wave interferometer where an inhomogeneous magnetic field couples to an embedded spin in a nanoparticles to create spatial superpositions.<n>We show that constraining the dephasing rate leads to stricter bounds on the noise parameters than enforcing a contrast threshold, indicating that good dephasing control ensures high interferometric contrast.
arXiv Detail & Related papers (2025-09-02T18:00:01Z) - Dirac particles, spin and photons [51.56484100374058]
We describe relativistic particles with spin as points moving in phase space $X=T* R1,3times C2_Ltimes C2_R$.<n>We show that taking into account the charges $q_sfv=pm 1$ of the fields $Psi_pm$ changes the definitions of the inner products and currents.
arXiv Detail & Related papers (2025-08-29T12:47:56Z) - Mesoscopic Fluctuations and Multifractality at and across Measurement-Induced Phase Transition [46.176861415532095]
We explore statistical fluctuations over the ensemble of quantum trajectories in a model of two-dimensional free fermions.<n>Our results exhibit a remarkable analogy to Anderson localization, with $G_AB$ corresponding to two-terminal conductance.<n>Our findings lay the groundwork for mesoscopic theory of monitored systems, paving the way for various extensions.
arXiv Detail & Related papers (2025-07-15T13:44:14Z) - Antiparticles in non-relativistic quantum mechanics [55.2480439325792]
Non-relativistic quantum mechanics was originally formulated to describe particles.<n>We show how the concept of antiparticles can and should be introduced in the non-relativistic case without appealing to quantum field theory.
arXiv Detail & Related papers (2024-04-02T09:16:18Z) - Measurement-induced phase transition for free fermions above one dimension [46.176861415532095]
Theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed.
Critical point separates a gapless phase with $elld-1 ln ell$ scaling of the second cumulant of the particle number and of the entanglement entropy.
arXiv Detail & Related papers (2023-09-21T18:11:04Z) - Quantum-information theory of magnetic field influence on circular dots
with different boundary conditions [0.0]
2D circular quantum dots (QDs) whose circumference supports homogeneous either Dirichlet or Neumann boundary condition (BC)
Physical interpretation is based on the different roles of the two BCs and their interplay with the field: Dirichlet (Neumann) surface is a repulsive (attractive) interface.
arXiv Detail & Related papers (2023-06-28T11:33:11Z) - The Vector-Model Wavefunction: spatial description and wavepacket
formation of quantum-mechanical angular momenta [0.0]
In quantum mechanics, spatial wavefunctions describe distributions of a particle's position or momentum, but not of angular momentum $j$.
We show that a spatial wavefunction, $j_m (phi,theta,chi)$ gives a useful description of quantum-mechanical angular momentum.
arXiv Detail & Related papers (2023-05-19T06:24:53Z) - On parametric resonance in the laser action [91.3755431537592]
We consider the selfconsistent semiclassical Maxwell--Schr"odinger system for the solid state laser.
We introduce the corresponding Poincar'e map $P$ and consider the differential $DP(Y0)$ at suitable stationary state $Y0$.
arXiv Detail & Related papers (2022-08-22T09:43:57Z) - Quantum-information theory of a Dirichlet ring with Aharonov-Bohm field [0.0]
Shannon information entropies $S_rho,gamma$, Fisher informations $I_rho,gamma$, Onicescu energies $O_rho,gamma$ and R'enyi entropies $R_rho,gamma(alpha)$ are calculated.
arXiv Detail & Related papers (2022-02-09T19:26:56Z) - From quartic anharmonic oscillator to double well potential [77.34726150561087]
It is shown that by taking uniformly-accurate approximation for anharmonic oscillator eigenfunction $Psi_ao(u)$, obtained recently, it is possible to get highly accurate approximation for both the eigenfunctions of the double-well potential and its eigenvalues.
arXiv Detail & Related papers (2021-10-30T20:16:27Z) - Anharmonic oscillator: a solution [77.34726150561087]
The dynamics in $x$-space and in $(gx)-space corresponds to the same energy spectrum with effective coupling constant $hbar g2$.
A 2-classical generalization leads to a uniform approximation of the wavefunction in $x$-space with unprecedented accuracy.
arXiv Detail & Related papers (2020-11-29T22:13:08Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.