Quantum diffusion for a quantum particle with a correlated Gaussian noise

• URL: http://arxiv.org/abs/2602.23226v1
• Date: Thu, 26 Feb 2026 17:06:19 GMT
• Title: Quantum diffusion for a quantum particle with a correlated Gaussian noise
• Authors: Yun Jeong Kang, Sung Kyu Seo, Kyungsik Kim,
• Abstract summary: We investigate the diffusive behavior of a quantum particle driven by a correlated Gaussian noise.<n>We derive the analytical solution of the joint probability density function and obtain explicit expressions for the mean square momentum and the mean square displacement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We investigate the diffusive behavior of a quantum particle driven by a correlated Gaussian noise. We derive the analytical solution of the joint probability density function and obtain explicit expressions for the mean square momentum and the mean square displacement.

Related papers

• Error exponents of quantum state discrimination with composite correlated hypotheses [40.82628972269358]
  We study the error exponents in quantum hypothesis testing between two sets of quantum states.<n>We introduce and compare two natural extensions of the quantum Hoeffding divergence and anti-divergence to sets of quantum states.
  arXiv  Detail & Related papers  (2025-08-18T13:04:06Z)
• Covariant non-perturbative pointer variables for quantum fields [44.99833362998488]
  We derive and renormalize the integro-differential equation that governs the detector pointer-variable dynamics.<n>Our formal solution, expressed in terms of Green's functions, allows for the covariant, and causal analysis of induced observables on the field.
  arXiv  Detail & Related papers  (2025-02-03T11:53:31Z)
• Closed-form solutions for the Salpeter equation [41.94295877935867]
  We study the propagator of the $1+1$ dimensional Salpeter Hamiltonian, describing a relativistic quantum particle with no spin. The analytical extension of the Hamiltonian in the complex plane allows us to formulate the equivalent problem, namely the B"aumer equation. This B"aumera corresponds to the Green function of a relativistic diffusion process that interpolates between Cauchy for small times and Gaussian diffusion for large times.
  arXiv  Detail & Related papers  (2024-06-26T15:52:39Z)
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• Oscillating Fields, Emergent Gravity and Particle Traps [55.2480439325792]
  We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description. Remarkably, the action models the effects of general relativity on the motion of nonrelativistic particles, with the values of the emergent curvature and speed of light determined by the field spatial distribution and frequency.
  arXiv  Detail & Related papers  (2023-10-03T18:00:02Z)
• Dissipatons as generalized Brownian particles for open quantum systems: Dissipaton-embedded quantum master equation [16.87034694915828]
  We revisit the dissipaton equation of motion theory and establish an equivalent dissipatons-embedded quantum master equation (DQME) The DQME supplies a direct approach to investigate the statistical characteristics of dissipatons and thus the physically supporting hybrid bath modes. Numerical demonstrations are carried out on the electron transfer model, exhibiting the transient statistical properties of the solvation coordinate.
  arXiv  Detail & Related papers  (2023-03-19T14:14:46Z)
• Quantum dissipation and the virial theorem [22.1682776279474]
  We study the celebrated virial theorem for dissipative systems, both classical and quantum. The non-Markovian nature of the quantum noise leads to novel bath-induced terms in the virial theorem. We also consider the case of an electrical circuit with thermal noise and analyze the role of non-Markovian noise in the context of the virial theorem.
  arXiv  Detail & Related papers  (2023-02-23T13:28:11Z)
• Quantifying quantum correlations in noisy Gaussian channels [0.0]
  We describe a scheme that aims to specify and examine the dynamic evolution of the quantum correlations in two-modes Gaussian states. We show that the Gaussian interferometric power is a measurement quantifier that can capture the essential quantum correlations beyond quantum entanglement.
  arXiv  Detail & Related papers  (2022-07-26T11:34:35Z)
• Born's rule and permutation invariance [0.0]
  It is shown that the probability density satisfies a hyperbolic equation of motion with the unique characteristic that in its many-particle form it contains derivatives acting at spatially remote regions.
  arXiv  Detail & Related papers  (2022-06-22T17:58:02Z)
• Generalized probability and current densities: A Field theory [0.0]
  We introduce a generalized Lagrangian density for a quantum particle with the generalized momentum operator. After variation of the Lagrangian, we obtain the corresponding Schr"odinger equation. The extended probability and particle current densities are found which satisfy the continuity equation.
  arXiv  Detail & Related papers  (2022-03-04T06:14:45Z)
• Functional integral method for potential scattering amplitude in quantum mechanics [0.0]
  We will obtain the potential scattering amplitude form the complete Green function in the corresponding external field through solving the Schrodinger equation. Consider specific external potentials such as the Yukawa or Gaussian potential, we will find the corresponding differential scattering cross-sections.
  arXiv  Detail & Related papers  (2021-04-02T01:16:51Z)
• Generalized probability and current densities: A field theory approach [0.0]
  We introduce a generalized Lagrangian density for a quantum particle with the generalized momentum operator. The extended probability and particle current densities are found which satisfy the continuity equation.
  arXiv  Detail & Related papers  (2021-02-04T11:56:36Z)

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.