Effect of classical noises on the coherent population trapping based on the Green's function approach to the multiplicative stochastic processes

• URL: http://arxiv.org/abs/2607.23630v1
• Date: Sun, 26 Jul 2026 12:30:59 GMT
• Title: Effect of classical noises on the coherent population trapping based on the Green's function approach to the multiplicative stochastic processes
• Abstract summary: We have developed a formalism to investigate classical multiplicative processes.<n>We have studied the effects of classical noises of the driving laser on the coherent population trapping.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Inspired by the Green's function (GF) approach in quantum field theory (QFT) and many body physics, we have developed a mathematical formalism to investigate classical multiplicative stochastic processes. Based on this approach, the interacting GF of any dynamical system subjected to classical stochastic noises, which enter into the system equations of motion in a multiplicative way, can be obtained from the noninteracting (free of noise) GF through an infinite perturbative series which may converge to an exact closed form under special conditions. Using this formalism, we have studied the effects of classical noises of the driving laser on the coherent population trapping (CPT) which have a crucial role in the performance of CPT-based atomic clocks. We have shown that if the bandwidth of the colored noise is sufficiently larger than the system damping rate, the infinite series corresponding to the interacting GF can be approximated by the closed form. The presented formalism enables us to investigate all kinds of homogeneous and inhomogeneous broadening mechanisms on the CPT transmission resonance lineshape, including dephasing due to atomic collisions, power/Doppler broadenings, as well as the broadening mechanisms due to phase and amplitude fluctuations of driving laser and compared their destructive effect with each other. It should be emphasized that the presented formalism is applicable to any dynamical system with multiplicative stochastic noises and the CPT phenomenon is just a prototype for the application of the presented formalism in practice.

Related papers

• Topology from Decoherence [39.407739937584104]
  We show that decoherence can induce topological phenomena.<n>We demonstrate this in a lattice system subject to environment-induced dephasing.<n>Our results establish correlated quantum noise as a route to topology in open many-body systems.
  arXiv  Detail & Related papers  (2026-07-08T18:00:04Z)
• Caustics and catastrophes in strong-field physics -- Picard--Lefschetz theory as a universal approach to saddle-point methods in attosecond science [0.0]
  We introduce Picard-Lefschetz theory and develop practical numerical methods for its application.<n>We apply these techniques to strong-field ionisation and HHG, focusing on caustics -- enhancement features where trajectories coalesce and standard approximations fail.
  arXiv  Detail & Related papers  (2026-05-05T14:21:49Z)
• Quantum-to-Classical Computability Transition via Negative Markov Chains [0.0]
  We show that for any unitary evolution generated by a linear combination of local or pairwise interactions, there exists at least one noise channel that effectively classicalizes the system.<n>We show that for this class of unitaries, the dynamics of an open quantum spin chain subject to depolarizing noise undergoes an exact transition to classical simulability.
  arXiv  Detail & Related papers  (2026-04-21T18:11:19Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Unveiling coherent dynamics in non-Markovian open quantum systems: exact expression and recursive perturbation expansion [44.99833362998488]
  We introduce a systematic framework to derive the effective Hamiltonian governing the coherent dynamics of non-Markovian open quantum systems.<n>Applying our framework to paradigmatic spin systems, we reveal how environmental correlations influence energy shifts and eigenbasis rotations.
  arXiv  Detail & Related papers  (2025-06-04T15:55:22Z)
• Bath Dynamical Decoupling with a Quantum Channel [44.99833362998488]
  We find that bath dynamical decoupling works if and only if the kick is ergodic.<n>We study in which circumstances CPTP kicks on a mono-partite quantum system induce quantum Zeno dynamics with its Hamiltonian cancelled out.
  arXiv  Detail & Related papers  (2024-09-27T07:47:52Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.<n>We find sufficient conditions under which dynamical decoupling works for such systems.<n>Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Dynamical hysteresis properties of the driven-dissipative Bose-Hubbard model with a Gutzwiller Monte Carlo approach [0.0]
  We study the dynamical properties of a driven-dissipative Bose-Hubbard model in the strongly interacting regime. We take classical and quantum correlations into account. We show that approximation techniques relying on a unimodal distribution such as the mean field and $1/z$ expansion drastically underestimate the particle number fluctuations.
  arXiv  Detail & Related papers  (2020-08-17T13:50:10Z)
• Method of spectral Green functions in driven open quantum dynamics [77.34726150561087]
  A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics. The formalism shows remarkable analogies to the use of Green functions in quantum field theory. The method dramatically reduces computational cost compared with simulations based on solving the full master equation.
  arXiv  Detail & Related papers  (2020-06-04T09:41:08Z)

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.