Wigner Analysis of Particle Dynamics and Decoherence in Wide Nonharmonic Potentials
- URL: http://arxiv.org/abs/2307.14106v6
- Date: Mon, 2 Sep 2024 06:43:54 GMT
- Title: Wigner Analysis of Particle Dynamics and Decoherence in Wide Nonharmonic Potentials
- Authors: Andreu Riera-Campeny, Marc Roda-Llordes, Piotr T. Grochowski, Oriol Romero-Isart,
- Abstract summary: We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential.
Our result elucidates the interplay between classical and quantum physics and the impact of decoherence during nonlinear dynamics.
This analytical result is instrumental to design, optimize and understand proposals using nonlinear dynamics to generate macroscopic quantum states of massive particles.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our method involves two exact frame transformations, accounting for both the classical dynamics of the centroid of the initial state and the rotation and squeezing about that trajectory. Subsequently, we employ two crucial approximations, namely the constant-angle and linearized-decoherence approximations. These approximations are effective in the regime of wide potentials and small fluctuations, namely potentials that enable spatial expansions orders of magnitude larger than the one of the initial state but that remain smaller compared to the relevant dynamical length scale (e.g., distance between turning points). Our analytical result elucidates the interplay between classical and quantum physics and the impact of decoherence during nonlinear dynamics. This analytical result is instrumental to design, optimize and understand proposals using nonlinear dynamics to generate macroscopic quantum states of massive particles.
Related papers
- Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories [103.95523007319937]
We study the dynamics of local excitations in a lattice of superconducting qubits.
For confined excitations, the magnetic field induces a tension in the string connecting them.
Our method allows us to experimentally image string dynamics in a (2+1)D LGT.
arXiv Detail & Related papers (2024-09-25T17:59:05Z) - Phases and dynamics of quantum droplets in the crossover to two-dimensions [0.0]
We explore the dynamics of ultracold atomic droplets in the crossover region from three to two dimensions.
One of our main findings is that droplets can become substantially extended when their binding energies become small.
arXiv Detail & Related papers (2024-07-23T11:14:47Z) - SEGNO: Generalizing Equivariant Graph Neural Networks with Physical
Inductive Biases [66.61789780666727]
We show how the second-order continuity can be incorporated into GNNs while maintaining the equivariant property.
We also offer theoretical insights into SEGNO, highlighting that it can learn a unique trajectory between adjacent states.
Our model yields a significant improvement over the state-of-the-art baselines.
arXiv Detail & Related papers (2023-08-25T07:15:58Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Interface dynamics in the two-dimensional quantum Ising model [0.0]
We show that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking.
We present a detailed analysis of the evolution of these interfaces both on the lattice and in a suitable continuum limit.
The implications of our work for the classic problem of the decay of a false vacuum are also discussed.
arXiv Detail & Related papers (2022-09-19T13:08:58Z) - Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - Convex Analysis of the Mean Field Langevin Dynamics [49.66486092259375]
convergence rate analysis of the mean field Langevin dynamics is presented.
$p_q$ associated with the dynamics allows us to develop a convergence theory parallel to classical results in convex optimization.
arXiv Detail & Related papers (2022-01-25T17:13:56Z) - Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics.
We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
arXiv Detail & Related papers (2021-08-13T01:44:24Z) - On Evolution of Coherent States as Quantum Counterpart of Classical
Dynamics [0.0]
Quantum dynamics of coherent states is studied within quantum field theory.
We use two complementary methods: by organizing the evolution as a Taylor series in elapsed time and by perturbative expansion in coupling within the interaction-picture formalism.
arXiv Detail & Related papers (2020-11-23T06:08:29Z) - Dynamical crossover in the transient quench dynamics of short-range
transverse field Ising models [4.16271611433618]
We study the transient regimes of non-equilibrium processes probed by single-site observables that is magnetization per site.
The decay rates of time-dependent and single-site observables exhibit a dynamical crossover that separates two dynamical regions.
Our results reveal that scaling law exponent in short times at the close vicinity of the dynamical crossover is significantly different than the one predicted by analytical theory.
arXiv Detail & Related papers (2020-04-26T04:39:51Z)
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.